Publications
182 results found
Stelle KS, 1999, A lecture on super <i>p</i>-branes, Conference on Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Publisher: WILEY-V C H VERLAG GMBH, Pages: 65-92, ISSN: 0015-8208
Stelle KS, 1998, Domain Walls and the Universe
D=11 supergravity possesses D=5 Calabi-Yau compactified solutions that may beidentified with the vacua of the Horava-Witten orbifold construction forM--theory/heterotic duality. The simplest of these solutions naturally involvestwo 3-brane domain walls, which may be identified with the orbifold boundaryplanes; this solution also possesses an unbroken $\Z_2$ symmetry. Considerationof nearby excited solutions, truncated to the zero-mode and $\Z_2$ invariantsector, yields an effective D=4 heterotic theory displaying chirality and N=1,D=4 supersymmetry.
Cremmer E, Lavrinenko IV, Lu H, et al., 1998, Euclidean-signature supergravities, dualities and instantons, Nuclear Physics B, Vol: 534, Pages: 40-82, ISSN: 0550-3213
We study the Euclidean-signature supergravities that arise by compactifying D = 11 supergravity or type IIB supergravity on a torus that includes the time direction. We show that the usual T-duality relation between Type IIA and type IIB supergravities compactified on a spatial circle no longer holds if the reduction is performed on the time direction. Thus there are two inequivalent Euclidean-signature nine-dimensional maximal supergravities. They become equivalent upon further spatial compactification to D = 8. We also show that duality symmetries of Euclidean-signature supergravities allow the harmonic functions of any single-charge or multicharge instanton to be rescaled and shifted by constant factors. Combined with the usual diagonal dimensional reduction and oxidation procedures, this allows us to use the duality symmetries to map any single-charge or multi-charge p-brane soliton, or any intersection, into its near-horizon regime. Similar transformations can also be made on non-extremal p-branes. We also study the structures of duality multiplets of instanton and (D − 3)-brane solutions.
Bremer MS, Lu H, Pope CN, et al., 1998, Dirac quantisation conditions and Kaluza-Klein reduction, Nuclear Physics B, Vol: 529, Pages: 259-294, ISSN: 0550-3213
We present the form of the Dirac quantisation condition for the p-form charges carried by p-brane solutions of supergravity theories. This condition agrees precisely with the conditions obtained in lower dimensions, as is necessary for consistency with Kaluza-Klein dimensional reduction. These considerations also determine the charge lattice of BPS soliton states, which proves to be a universal modulus-independent lattice when the charges are defined to be the canonical charges corresponding to the quantum supergravity symmetry groups.
Cremmer E, Lu H, Pope CN, et al., 1998, Spectrum-generating symmetries for BPS solitons, Nuclear Physics B, Vol: 520, Pages: 132-156, ISSN: 0550-3213
We show that there exist non-linearly realised duality symmetries that are independent of the standard supergravity global symmetries, and which provide active spectrum-generating symmetries for the fundamental BPS solitons. The additional ingredient, in any space-time dimension, is a single scaling transformation that allows one to map between BPS solitons with different masses. Without the inclusion of this additional transformation, which is a symmetry of the classical equations of motion, but not the action, it is not possible to find a spectrum-generating symmetry. The necessity of including this scaling transformation highlights the vulnerability of duality multiplets to quantum anomalies. We argue that fundamental BPS solitons may be immune to this threat.
Lu H, Pope CN, Stelle KS, 1998, Multiplet structures of BPS solitons, Classical and Quantum Gravity, Vol: 15, Pages: 537-561, ISSN: 0264-9381
There exist simple single-charge and multi-charge BPS p-brane solutions in the D-dimensional maximal supergravities. From these, one can fill out orbits in the charge vector space by acting with the global symmetry groups. We give a classification of these orbits, and the associated cosets that parametrize them.
Stelle KS, 1998, Scattering branes and octonionic Kahler sigma-models, New York, 31st international symposium ahrenshoop on the theory of elementary particles SEP 02-06, 1997 BUCKOW, GERMANY, Publisher: Wiley-Vch, Inc, Pages: 162-167
Stelle KS, 1998, An introduction to p-branes, Singapore, apctp winter school on dualities in gauge and string theories FEB 17-28, 1997 SORAK MOUNTAIN, SOUTH KOREA, Publisher: World Scientific Publ Co Pte Ltd, Pages: 39-104
Stelle KS, 1998, p-brane spectra and charge quantisation, Singapore, conference on beyond the standard model - from theory to experiment OCT 13-17, 1997 VALENCIA, SPAIN, Publisher: World Scientific Publ Co Pte Ltd, Pages: 440-451
Gibbons GW, Papadopoulos G, Stelle KS, 1997, HKT and OKT geometries on soliton black hole moduli spaces, Nuclear Physics B, Vol: 508, Pages: 623-658, ISSN: 0550-3213
We consider Shiraishi's metrics on the moduli space of extreme black holes. We interpret the simplification in the pattern of N-body interactions that he observed in terms of the recent picture of black holes in four and five dimensions as composites, made up of intersecting branes. We then show that the geometry of the moduli space of a class of black holes in five and nine dimensions is hyper-Kahler with torsion, and octonionic-Kähler with torsion, respectively. For this, we examine the geometry of point particle models with extended world-line supersymmetry and show that both of the above geometries arise naturally in this context. In addition, we construct a large class of hyper-Kahler with torsion and octonionic-Kähler with torsion geometries in various dimensions. We also present a brane interpretation of our results.
Stelle KS, 1997, Relations between supergravity p-branes, 2nd Meeting on Constrained Dynamics and Quantum Gravity (QG96), Publisher: ELSEVIER SCIENCE BV, Pages: 269-272, ISSN: 0550-3213
Cowdall PM, Lu H, Pope CN, et al., 1997, Domain walls in massive supergravities, Nuclear Physics B, Vol: 486, Pages: 49-76, ISSN: 0550-3213
We show how toroidally compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally supersymmetric massive supergravities in space-time dimensions D ⩽ 8. The mass terms arise as a consequence of making a more general ansatz than that in usual Kaluza-Klein dimensional reduction, in which one or more axions are given an additional linear dependence on one of the compactification coordinates. The lower-dimensional theories are nevertheless consistent truncations of eleven-dimensional supergravity. Owing to the fact that the generalised reduction commutes neither with U-duality nor with ordinary dimensional reduction, many different massive theories can result. The simplest examples arise when just a single axion has the additional linear coordinate dependence. We find five inequivalent such theories in D = 7, and 71 inequivalent ones in D = 4. The massive theories admit no maximally symmetric vacuum solution, but they do admit (D - 2)-brane solutions, i.e. domain walls, which preserve half the supersymmetry. We present examples of these solutions, and their oxidations to D = 11. Some of the latter are new solutions of D = 11 supergravity.
Stelle KS, 1997, Lectures on Supergravity p-branes
We review the properties of classical p-brane solutions to supergravitytheories, i.e. solutions that may be interpreted as Poincare-invarianthyperplanes in spacetime. Topics covered include the distinction betweenelementary/electric and solitonic/magnetic solutions, examples of singularityand global structure, relations between mass densities, charge densities andthe preservation of unbroken supersymmetry, diagonal and vertical Kaluza-Kleinreduction families, Scherk-Schwarz reduction and domain walls, and theclassification of multiplicities using duality symmetries.
Sevrin A, Stelle K S, Thielemans K, et al., 1997, Gauge Theories, Applied Supersymmetry & Quantum Gravity II, Singapore & London, Publisher: Imperial College Press, ISBN: 9781860940507
Lu H, Pope CN, Stelle KS, 1996, Vertical versus diagonal dimensional reduction for p-branes, Nuclear Physics B, Vol: 481, Pages: 313-331, ISSN: 0550-3213
In addition to the double dimensional reduction procedure that employs world-volume Killing symmetries of p-brane supergravity solutions and acts diagonally on a plot of p versus space-time dimension D, there exists a second procedure of “vertical” reduction. This reduces the transverse-space dimension via an integral that superposes solutions to the underlying Laplace equation. We show that vertical reduction is also closely related to the recently introduced notion of intersecting p-branes. We illustrate this with examples, and also construct a new D = 11 solution describing four intersecting membranes, which preserves 116 of the assymetry. Given the two reduction schemes plus duality transformations at special points of the scalar modulus space, one may relate most of the p-brane solutions of relevance to superstring theory. We argue that the maximum classifying duality symmetry for this purpose is the Weyl group of the corresponding Cremmer-Julia supergravity symmetry Er(+r). We also discuss a separate class of duality-invariant p-branes with p = D − 3.
Stelle KS, 1996, Nonlinear realisations and embeddings of quantum algebras, 6th Moscow Quantum Gravity Seminar, Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD, Pages: 747-762, ISSN: 0218-2718
Stelle KS, 1996, Extended-object families in string and supergravity theories, 2nd German/Polish Symposium on New Ideas in the Theory of Fundamental Interactions, Publisher: POLISH ACAD SCIENCES INST PHYSICS, Pages: 2695-2708, ISSN: 0587-4254
Lu H, Pope CN, Stelle KS, 1996, Weyl group invariance and p-brane multiplets, Nuclear Physics B, Vol: 476, Pages: 89-117, ISSN: 0550-3213
In this paper, we study the actions of the Weyl groups of the U duality groups for type IIA string theory toroidally compactified to all dimensions D ≥ 3. We show how these Weyl groups implement permutations of the field strengths, and we discuss the Weyl group multiplets of all supersymmetric p-brane solitons.
Lu H, Pope CN, Sezgin E, et al., 1996, Dilatonic p-brane solitons, Physics Letters B: Nuclear Physics and Particle Physics, Vol: 371, Pages: 46-50, ISSN: 0370-2693
We find new 4-brane and 5-brane solitons in massive gauged D = 6, N = 2 and D = 7, N = 1 supergravities. In each case, the solutions preserve half of the original supersymmetry. These solutions make use of the metric and dilaton fields only. We also present more general dilatonic (D - 2)-branes in D dimensions.
Stelle KS, 1996, Nonlinear realisations and embeddings of quantum algebras, International Journal of Modern Physics D, Vol: 5, Pages: 747-762, ISSN: 0218-2718
A review is given of BRST mechanisms through which theories carrying realisations of nonlinear gauge-algebra representations may also be viewed as realizing embeddings into larger gauge algebras. This process generalizes the familiar nonlinear realisations of spontaneously-broken Lie-algebra gauge symmetries to ssupersymmetric and higher-spin chiral quantum gravity models.
LU H, POPE CN, SEZGIN E, et al., 1995, Stainless super p-branes, Nuclear Physics B, Vol: 456, Pages: 669-698, ISSN: 0550-3213
The elementary and solitonic supersymmetric p-brane solutions to supergravity theories form families related by dimensional reduction, each headed by a maximal (‘stainless’) member that cannot be isotropically dimensionally oxidized into higher dimensions. We find several new families, headed by stainless solutions in various dimensions D ⩽ 9. In some cases, these occur with dimensions (D, p) that coincide with those of descendants of known families, but since the new solutions are stainless, they are necessarily distinct. The new stainless supersymmetric solutions include a 6-brane and a 5-brane in D = 9, a string in D = 5, and particles in all dimensions 5 ⩽ D ⩽ 9.
LU H, POPE CN, STELLE KS, et al., 1995, Embedding of the bosonic string into the W3 string, Physics Letters B: Nuclear Physics and Particle Physics, Vol: 351, Pages: 179-187, ISSN: 0370-2693
We investigate new realisations of the W3 algebra with arbitrary central charge, making use of the fact that this algebra can be linearised by the inclusion of a spin-1 current. We use the new realisations with c = 102 and c = 100 to build non-critical and critical W3 BRST operators. Both of these can be converted by local canonical transformations into a BRST operator for the Virasoro string with c = 28 f- 2, together with a Kugo-Ojima topological term. Consequently, these realisations provide embeddings of the Virasoro string into non-critical and critical W3 strings.
MOHAYEE R, POPE CN, STELLE KS, et al., 1995, Canonical BRST quantisation of worldsheet gravities, Nuclear Physics B, Vol: 433, Pages: 712-736, ISSN: 0550-3213
We reformulate the BRST quantisation of chiral Virasoro and W3 worldsheet gravities. Our approach follows directly the classic BRST formulation of Yang-Mills theory in employing a derivative gauge condition instead of the conventional conformal gauge condition, supplemented by an introduction of momenta in order to put the ghost action back into first-order form. The consequence of these simple changes is a considerable simplification of the BRST formulation, the evaluation of anomalies and the expression of Wess-Zumino consistency conditions. In particular, the transformation rules of all fields now constitute a canonical transformation generated by the BRST operator Q, and we obtain in this reformulation a new result that the anomaly in the BRST Ward identity is obtained by application of the anomalous operator Q2, calculated using operator products, to the gauge fermion.
Stelle KS, 1994, Non-critical $d=2$ Gravities and Integrable Models
We review the origin of anomaly-induced dynamics in theories of $d=2$ gravityfrom a BRST viewpoint and show how quantum canonical transformations may beused to solve the resulting Liouville or Toda models for the anomalous modes.
ANDERSON A, NILSSON BEW, POPE CN, et al., 1994, THE MULTIVALUED FREE-FIELD MAPS OF LIOUVILLE AND TODA GRAVITIES, NUCLEAR PHYSICS B, Vol: 430, Pages: 107-152, ISSN: 0550-3213
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- Citations: 15
LU H, POPE CN, NILSSON BEW, et al., 1993, The low-level spectrum of the W3 string, International Journal of Modern Physics A: particles and fields; gravitation; cosmology; nuclear physics, Vol: 8, Pages: 4071-4102, ISSN: 0217-751X
We investigate the spectrum of physical states in the W3 string theory, up to level 2 for a multiscalar string, and up to level 4 for the two-scalar string. The (open) W3 string has a photon as its only massless state. By using screening charges to study the null physical states in the two-scalar W3 string, we are able to learn about the gauge symmetries of the states in the multiscalar W3 string.
POPE CN, SEZGIN E, STELLE KS, et al., 1993, Discrete states in the W3 string, Physics Letters B: Nuclear Physics and Particle Physics, Vol: 299, Pages: 247-254, ISSN: 0370-2693
We construct the low-lying discrete states of the two-scalar W3 string. This includes states that correspond to the analogues of the ground ring generators of the ordinary two-dimensional string. These give rise to infinite towers of discrete states at higher levels.
SEZGIN E, STELLE KS, 1993, Nonlinear realizations of w1+ infinity, Classical and Quantum Gravity, Vol: 10, Pages: 19-36, ISSN: 0264-9381
The nonlinear scalar-field realization of w1+ infinity symmetry in d=2 dimensions is studied in analogy to the nonlinear realization of d=4 conformal symmetry SO(4, 2). The w1+ infinity realization is derived from a coset-space construction in which the divisor group is generated by the non-negative modes of the Virasoro algebra, with subsequent application of an infinite set of covariant constraints. The initial doubly infinite set of Goldstone fields arising in this construction is reduced by the covariant constraints to a singly infinite set corresponding to the Cartan subalgebra generators vl-(l+1). The authors derive the transformation rules of this surviving set of fields, finding a triangular structure in which fields transform into themselves or into lower members of the set only. This triangular structure gives rise to finite-component subrealizations, including the standard one for a single scalar. They derive the Maurer-Cartan form and discuss the construction of invariant actions.
STELLE KS, 1993, THE W-STRING SPECTRUM, 26TH INTERNATIONAL CONF ON HIGH ENERGY PHYSICS, Publisher: AIP PRESS, Pages: 1495-1500, ISSN: 0094-243X
POPE CN, ROMANS LJ, SEZGIN E, et al., 1992, The W3 string spectrum, Physics Letters B: Nuclear Physics and Particle Physics, Vol: 274, Pages: 298-308, ISSN: 0370-2693
We study the spectrum of W3 string. In particular, we show that for appropriately chosen space-time signature, one of the scalar fields is singled out by the spin-3 constraint and is “frozen”: no creation operators from it can appear in physical states and the corresponding momentum must assume a specific fixed value. The remaining theory is unitary and resembles an ordinary string theory in d ≠ 26 with anomalies cancelled by appropriate background charges.
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