## Publications

224 results found

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*, 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, non-abelian orbifolds and the Schur multiplier, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 15

Feng B, Hanany A, 2000, Mirror symmetry by O3-planes, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 34

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: 20

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: 90

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.

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.

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: 73

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: 12

Hanany A, Zaffaroni A, 1999, Monopoles in string theory, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 4

Bergman O, Hanany A, Karch A,
et al., 1999, Branes and supersymmetry breaking in three dimensional gauge theories, *Journal of High Energy Physics*, Vol: 1999, Pages: 036-036

Hanany A, Zaffaroni A, 1999, Issues on orientifolds: on the brane construction of gauge theories with SO(2n) global symmetry, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 45

Feng B, Hanany A, He Y-H, 1999, The Zk × Dk′ brane box model, *Journal of High Energy Physics*, Vol: 1999, Pages: 011-011

Erlich J, Hanany A, Naqvi A, 1999, Marginal deformations from branes, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 15

DeWolfe O, Hanany A, Iqbal A,
et al., 1999, Five-branes, seven-branes and five-dimensional E-n field theories, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 71

Hanany A, He YH, 1999, Non-abelian finite gauge theories, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 50

Feng B, Hanany A, He YH, 1999, The Z(k) x D-k' brane box model, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 9

Hanany A, Kol B, Rajaraman A, 1999, Orientifold points in M theory, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

We identify the lift to M theory of the four types of orientifold points, and show that they involve a chiral fermion on an orbifold fixed circle. From this lift, we compute the number of normalizable ground states for the SO(7V) and Sp(7V) supersymmetric quantum mechanics with sixteen supercharges. The results agree with known results obtained by the mass deformation method. The mass of the orientifold is identified with the Casimir energy.

Hanany A, Zaffaroni A, 1999, Issues on orientifolds: On the brane construction of gauge theories with SO(2n) global symmetry, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

We discuss issues related to orientifolds and the brane realization for gauge theories with orthogonal and symplectic groups. We specifically discuss the case of theories with (hidden) global SO(2n) symmetry, from three to six dimensions. We analyze mirror symmetry for three dimensional N=4 gauge theories, Brane Box Models and six-dimensional gauge theories. We also discuss the issue of T-duality for Dn space-time singularities. Stuck D branes on ON0 planes play an interesting role.

Erlich J, Hanany A, Naqvi A, 1999, Marginal deformations from branes, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

We study brane configurations for four dimensional N=l supersymmetric gauge theories with quartic superpotentials which flow in the infrared to manifolds of interacting super conformal fixed points. We enumerate finite N=2 theories, from which a large class of marginal N=1 theories descend. We give the brane descriptions of these theories in Type IIA and Type IIB string theory. The Type IIB descriptions are in terms of D3 branes in orientifold and generalized conifold backgrounds. We calculate the Weyl and Euler anomalies in these theories, and find that they are equal in elliptic models and unequal in a large class of finite N=2 and marginal N=1 non-elliptic theories.

Hanany A, He YH, 1999, Non-abelian finite gauge theories, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

We study orbifolds of N = 4 U(n) super-Yang-Mills theory given by discrete subgroups of SU(2) and SU(3). We have reached many interesting observations that have graph-theoretic interpretations. For the subgroups of SU(2), we have shown how the matter content agrees with current quiver theories and have offered a possible explanation. In the case of 577(3) we have constructed a catalogue of candidates for finite (chiral) N = 1 theories, giving the gauge group and matter content. Finally, we conjecture a McKay-type correspondence for Gorenstein singularities in dimension 3 with modular invariants of WZW conformal models. This implies a connection between a class of finite N = 1 supersymmetric gauge theories in four dimensions and the classification of affine SU(3) modular invariant partition functions in two dimensions.

Feng B, Hanany A, He YH, 1999, The Z<inf>k</inf> × D<inf>k′</inf> brane box model, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

An example of a non-abelian Brane Box Model, namely one corresponding to a Zk × Dk′ orbifold singularity of C3, is constructed. Its self-consistency and hence equivalence to geometrical methods are subsequently shown. It is demonstrated how a group-theoretic twist of the non-abelian group circumvents the problem of inconsistency that arise from naïve attempts at the construction.

Hanany A, Zaffaroni A, 1999, Monopoles in string theory, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

A realization of En+1 monopoles in string theory is given. The NS five brane stuck to an Orientifold eight plane is identified as the 't Hooft-Polyakov monopole. Correspondingly, the moduli space of many such NS branes is identified with the moduli space of SU(2) monopoles. These monopoles transform in the spinor representation of an SO(2n) gauge group when n D8 branes are stacked upon the orientifold plane. This leads to a realization of En+1 monopole moduli spaces. Charge conservation leads to a dynamical effect which does not allow the NS branes to leave the orientifold plane. This suggests that the monopole moduli space is smooth for n < 8. Odd n < 8 obeys a similar condition. Using a chain of dualities, we also connect our system to an heterotic background with Kaluza-Klein monopoles.

Dewolfe O, Hanany A, Iqbal A,
et al., 1999, Five-branes, seven-branes and five-dimensional E<inf>n</inf> field theories, *Journal of High Energy Physics*, Vol: 3, ISSN: 1029-8479

We generalize the (p, q) 5-brane web construction of five-dimensional field theories by introducing (p, q) 7-branes, and apply this construction to theories with a one-dimensional Coulomb branch. The 7-branes render the exceptional global symmetry of these theories manifest. Additionally, 7-branes allow the construction of all En theories up to n = 8, previously not possible in 5-brane configurations. The exceptional global symmetry in the field theory is a subalgebra of an affine symmetry on the 7-branes, which is necessary for the existence of the system. We explicitly determine the quantum numbers of the BPS states of all En theories using two simple geometrical constraints.

Aharony O, Hanany A, Kol B, 1998, Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams, *Journal of High Energy Physics*, Vol: 2, ISSN: 1029-8479

We continue to study 5d N = 1 supersymmetric field theories and their compactifications on a circle through brane configurations. We develop a model, which we call (p, q) Webs, which enables simple geometrical computations to reproduce the known results, and facilitates further study. The physical concepts of field theory are transparent in this picture, offering an interpretation for global symmetries, local symmetries, the effective (running) coupling, the Coulomb and Higgs branches, the monopole tensions, and the mass of BPS particles. A rule for the dimension of the Coulomb branch is found by introducing Grid Diagrams. Some known classifications of field theories are reproduced. In addition to the study of the vacuum manifold we develop methods to determine the BPS spectrum. Some states, such as quarks, correspond to instantons inside the 5-brane which we call strips. In general, these may not be identified with (p, q) strings. We describe how a strip can bend out of a 5-brane, becoming a string. A general BPS state corresponds to a Web of strings and strips. For special values of the string coupling a few strips can combine and leave the 5-brane as a string.

Hanany A, Zaffaroni A, 1998, Branes and six-dimensional supersymmetric theories, *NUCLEAR PHYSICS B*, Vol: 529, Pages: 180-206, ISSN: 0550-3213

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- Citations: 125

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