Publications
225 results found
Franco S, Hanany A, 2003, Toric duality, Seiberg duality and Picard-Lefschetz transformations, 35th International Symposium Ahrenshoop on Theory of Elementary Particles, Publisher: WILEY-V C H VERLAG GMBH, Pages: 738-744, ISSN: 0015-8208
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- Citations: 13
Feng B, Franco S, Hanany A, et al., 2002, Symmetries of toric duality, Journal of High Energy Physics, Vol: 6, Pages: 1769-1798, ISSN: 1029-8479
This paper serves to elucidate the nature of toric duality dubbed in hep-th/0003085 in the construction for world volume theories of D-branes probing arbitrary toric singularities. This duality will be seen to be due to certain permutation symmetries of multiplicities in the gauged linear sigma model fields. To this symmetry we shall refer as "multiplicity symmetry." We present beautiful combinatorial properties of these multiplicities and rederive all known cases of torically dual theories under this new light. We also initiate an understanding of why such multiplicity symmetry naturally leads to monodromy and Seiberg duality. Furthermore we discuss certain "flavor" and "node" symmetries of the quiver and superpotential and how they are intimately related to the isometry of the background geometry, as well as how in certain cases complicated superpotentials can be derived by observations of the symmetries alone. © SISSA/ISAS 2003.
Feng B, Franco S, Hanany A, et al., 2002, Symmetries of toric duality, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 87
Hanany A, Prezas N, Troost J, 2002, The partition function of the two-dimensional black hole conformal field theory, Journal of High Energy Physics, Vol: 6, Pages: 323-339, ISSN: 1029-8479
We compute the partition function of the conformal field theory on the twodimensional euclidean black hole background using path-integral techniques. We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,ℝ)/U(1) coset conformal field theory construction. In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. We point out the relevance of the partition function to all string theory backgrounds that include an SL(2,ℝ)/U(1) coset factor. © SISSA/ISAS 2002.
Hanany A, Iqbal A, 2002, Quiver theories from D6-branes via mirror symmetry, Journal of High Energy Physics, Vol: 6, Pages: 197-222, ISSN: 1029-8479
We study N = 1 four dimensional quiver theories arising on the world volume of D3-branes at del Pezzo singularities of Calabi-Yau threefolds. We argue that under local mirror symmetry D3-branes become D6-branes wrapped on a three torus in the mirror manifold. The type-IIB (p, q) 5-brane web description of the local del Pezzo, being closely related to the geometry of its mirror manifold, encodes the geometry of 3-cycles and is used to obtain gauge groups, quiver diagrams and the charges of the fractional branes. © SISSA/ISAS 2002.
Bertoldi G, Feng B, Hanany A, 2002, The splitting of branes on orientifold planes, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 10
Hanany A, Iqbal A, 2002, Quiver theories from D6-branes via mirror symmetry, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 51
Hanany A, Prezas N, Troost J, 2002, The partition function of the two-dimensional black hole conformal field theory, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 75
Feng B, Hanany A, He YH, et al., 2002, Stepwise projection: Toward brane setups for generic orbifold singularities, Journal of High Energy Physics, Vol: 6, Pages: 859-881, ISSN: 1029-8479
The construction of brane setups for the exceptional series E 6,7,8 of SU(2) orbifolds remains an ever-haunting conundrum. Motivated by techniques in some works by Muto on non-abelian SU(3) orbifolds, we here provide an algorithmic outlook, a method which we call stepwise projection, that may shed some light on this puzzle. We exemplify this method, consisting of transformation rules for obtaining complex quivers and brane setups from more elementary ones, to the cases of the D-series and E6 finite subgroups of SU(2). Furthermore, we demonstrate the generality of the stepwise procedure by appealing to Frøbenius' theory of Induced Representations. Our algorithm suggests the existence of generalisations of the orientifold plane in string theory. © SISSA/ISAS 2002.
Feng B, Hanany A, He YH, et al., 2002, Stepwise projection: toward brane setups for generic orbifold singularities, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 3
Feng B, Hanany A, He YH, et al., 2001, Toric duality as Seiberg duality and brane diamonds, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 121
Hanany A, Troost J, 2001, Orientifold planes, affine algebras and magnetic monopoles, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 22
Feng B, Hanany A, He YH, 2001, Phase structure of D-brane gauge theories and toric duality, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 95
Feng B, Hanany A, He YH, et al., 2001, Discrete torsion, covering groups and Quiver diagrams, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 14
Feng B, Hanany A, He YH, 2001, D-brane gauge theories from toric singularities and toric duality, NUCLEAR PHYSICS B, Vol: 595, Pages: 165-200, ISSN: 0550-3213
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- Citations: 196
Hanany A, He YH, 2001, A monograph on the classification of the discrete subgroups of SU(4), JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 15
Feng B, Hanany A, He YH, et al., 2001, Discrete torsion, non-abelian orbifolds and the Schur multiplier, Journal of High Energy Physics, Vol: 5, ISSN: 1029-8479
Armed with the explicit computation of Schur multipliers, we offer a classification of SU(n) orbifolds for n = 2,3,4 which permit the turning on of discrete torsion. This is in response to the host of activity lately in vogue on the application of discrete torsion to D-brane orbifold theories. As a by-product, we find a hitherto unknown class of N = 1 orbifolds with non-cyclic discrete torsion group. Furthermore, we supplement the status quo ante by investigating a first example of a non-abelian orbifold admitting discrete torsion, namely the ordinary dihedral group as a subgroup of SU(3). A comparison of the quiver theory thereof with that of its covering group, the binary dihedral group, without discrete torsion, is also performed.
Feng B, Hanany A, He YH, et al., 2001, Discrete torsion, covering groups and Quiver diagrams, Journal of High Energy Physics, Vol: 5, ISSN: 1029-8479
Without recourse to the sophisticated machinery of twisted group algebras, projective character tables and explicit values of 2-cocycles, we here present a simple algorithm to study the gauge theory data of D-brane probes on a generic orbifold G with discrete torsion turned on. We show in particular that the gauge theory can be obtained with the knowledge of no more than the ordinary character tables of G and its covering group G*. Subsequently we present the quiver diagrams of certain illustrative examples of SU(3)-orbifolds which have non-trivial Schur Multipliers. The paper serves as a companion to our earlier work hep-th/0010023 and aims to initiate a systematic and computationally convenient study of discrete torsion.
Hanany A, He YH, 2001, A monograph on the classification of the discrete subgroups of SU(4), Journal of High Energy Physics, Vol: 5, ISSN: 1029-8479
We here present, in modern notation, the classification of the discrete finite subgroups of SU(4) as well as the character tables for the exceptional cases thereof (cf. http://pierre.mit.edu/̃yhe/su4.ct). We hope this catalogue will be useful to works on string orbifold theories, quiver theories, WZW modular invariants, Gorenstein resolutions, nonlinear sigma-models as well as some recently proposed inter-connections among them.
Feng B, Hanany A, He YH, et al., 2001, Discrete torsion, non-abelian orbifolds and the Schur multiplier, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 16
Feng B, Hanany A, 2000, Mirror symmetry by O3-planes, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 50
Hanany A, Pioline B, 2000, (Anti-)instantons and the Atiyah-Hitchin manifold, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 24
FENG BO, HANANY A, HE Y-H, 2000, Z-D BRANE BOX MODELS AND NON-CHIRAL DIHEDRAL QUIVERS, Pages: 280-306
Hanany A, Kol B, 2000, On orientifolds, discrete torsion, branes and M-theory, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 108
Feng B, Hanany A, 2000, Mirror symmetry by O3-planes, Journal of High Energy Physics, Vol: 4, Pages: 28-48, ISSN: 1029-8479
We construct the three dimensional mirror theory of SO(2k) and SO(2k+1) gauge groups by using O3-planes. An essential ingredient in constructing the mirror is the splitting of a physical brane (NS-brane or D5-brane) on O3-planes. In particular, matching the dimensions of moduli spaces of mirror pair (for example, the SO(2k+1) and its mirror) there is a D3-brane creation or annihilation accompanying the splitting. This novel dynamical process gives a nontrivial prediction for strongly coupled field theories, which will be very interesting to check by Seiberg-Witten curves. Furthermore, applying the same idea, we revisit the mirror theory of Sp(k) gauge group and find new mirrors which differ from previously known results. Our new result for Sp(k) gives another example to a previously observed fact, which shows that different theories can be mirror to the same theory. We also discussed the phenomena such as "hidden FI-parameters" when the number of flavors and the rank of the gauge group satisfy certain relations, "incomplete higgsing" for the mirror of SO(2k + 1) and the "hidden global symmetry". After discussing the mirror for a single Sp or SO gauge group, we extend the study to a product of two gauge groups in two different models, namely the elliptic and the non-elliptic models.
Hanany A, Kol B, 2000, On orientifolds, discrete torsion, branes and M-theory, Journal of High Energy Physics, Vol: 4, Pages: 1-27, ISSN: 1029-8479
We find some lifts to M-theory of orientifold and orbifold planes including the O1, O3 and O5 planes of type IIB and their transformations under SL(2,ℤ). The possible discrete torsion variants (or K-theory classes) are explored, and are interpreted as arising from brane intersections with planes. We find new variants of the O0 and of an orbifold line (OF1) and determine their tensions in some cases. A systematic review of orientifolds, M orientifolds, and known M-lifts, with some new clarifications is included together with a discussion of the role of T-duality.
Hanany A, Pioline B, 2000, (Anti-)instantons and the Atiyah-Hitchin manifold, Journal of High Energy Physics, Vol: 4, ISSN: 1029-8479
The Atiyah-Hitchin manifold arises in many different contexts, ranging from its original occurrence as the moduli space of two SU(2) 't Hooft-Polyakov monopoles in 3 + 1 dimensions, to supersymmetric backgrounds of string theory. In all these settings, (super)symmetries require the metric to be hyperkähler and have an SO(3) transitive isometry, which in the four-dimensional case essentially selects out the Atiyah-Hitchin manifold as the only such smooth manifold with the correct topology at infinity. In this paper, we analyze the exponentially small corrections to the asymptotic limit, and interpret them as infinite series of instanton corrections in these various settings. Unexpectedly, the relevant configurations turn out to be bound states of n instantons and n anti-instantons, with |n - n̄| = 0, 1 as required by charge conservation. We propose that the semi-classical configurations relevant for the higher monopole moduli space are euclidean open branes stretched between the monopoles.
Hanany A, Kol B, Rajaraman A, 1999, Orientifold points in M theory, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 13
Bergman O, Hanany A, Karch A, et al., 1999, Branes and supersymmetry breaking in 3D gauge theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 86
Hanany A, Zaffaroni A, 1999, Monopoles in string theory, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 5
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