## Publications

224 results found

Franco S, Hanany A, He YH, 2004, A trio of dualities: walls, trees and cascades, 36th International Symposium Ahrenshoop on the Theory of Elementary Particles, Publisher: WILEY-V C H VERLAG GMBH, Pages: 540-547, ISSN: 0015-8208

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- Citations: 20

Hanany A, Tong D, 2004, Vortex strings and four-dimensional gauge dynamics, *Journal of High Energy Physics*, Vol: 8, Pages: 1479-1505, ISSN: 1029-8479

We study the low-energy quantum dynamics of vortex strings in the Higgs phase of N = 2 supersymmetric QCD. The exact BPS spectrum of the stretched string is shown to coincide with the BPS spectrum of the four-dimensional parent gauge theory. Perturbative string excitations correspond to bound W-bosons and quarks while the monopoles appear as kinks on the vortex string. This provides a physical explanation for an observation by N. Dorey relating the quantum spectra of theories in two and four dimensions. © SISSA/ISAS 2004.

Hanany A, Tong D, 2004, Vortex strings and four-dimensional gauge dynamics, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 232

Feng B, Franco S, Hanany A,
et al., 2003, Unhiggsing the del Pezzo, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 47

Feng B, Franco S, Hanany A,
et al., 2003, Unhiggsing the del Pezzo, *Journal of High Energy Physics*, Vol: 7, Pages: 1385-1420, ISSN: 1029-8479

We develop an unhiggsing procedure for finding the D-brane probe world volume gauge theory for blowups of geometries whose gauge theory data are known. As specific applications we unhiggs the well-studied theories for the cone over the third del Pezzo surface. We arrive at what we call pseudo del Pezzos and these will constitute a first step toward the understanding of higher, non toric del Pezzos. Moreover, our methods and results give further support for toric duality as well as obtaining superpotentials from global symmetry considerations. © SISSA/ISAS 2003.

Hanany A, Tong D, 2003, Vortices, instantons and branes, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 359

Hanany A, Tong D, 2003, Vortices, instantons and branes, *Journal of High Energy Physics*, Vol: 7, Pages: 871-898, ISSN: 1029-8479

The purpose of this paper is to describe a relationship between the moduli space of vortices and the moduli space of instantons. We study charge k vortices in U(N) Yang-Mills-Higgs theories and show that the moduli space is isomorphic to a special lagrangian submanifold of the moduli space of k instantons in non-commutative U(N) Yang-Mills theories. This submanifold is the fixed point set of a U(1) action on the instanton moduli space which rotates the instantons in a plane. To derive this relationship, we present a D-brane construction in which the dynamics of vortices is described by the Higgs branch of a U(k) gauge theory with 4 supercharges which is a truncation of the familiar ADHM gauge theory. We further describe a moduli space construction for semilocal vortices, lumps in the CPN and grassmannian sigma-models, and vortices on the non-commutative plane. We argue that this relationship between vortices and instantons underlies many of the quantitative similarities between quantum field theories in two and four dimensions. © SISSA/ISAS 2003.

Hanany A, Walcher J, 2003, On duality walls in string theory, *Journal of High Energy Physics*, Vol: 7, Pages: 1405-1422, ISSN: 1029-8479

Following the RG flow of an N = 1 quiver gauge theory and applying Seiberg duality whenever necessary defines a duality cascade, that in simple cases has been understood holographically. It has been argued that in certain cases, the dualities will pile up at a certain energy scale called the duality wall, accompanied by a dramatic rise in the number of degrees of freedom. In string theory, this phenomenon is expected to occur for branes at a generic threefold singularity, for which the associated quiver has lorentzian signature. We here study sequences of Seiberg dualities on branes at the ℂ3/ ℤ3 orbifold singularity. We use the naive beta functions to define an (unphysical) scale along the cascade. We determine, as a function of initial conditions, the scale of the wall as well as the critical exponent governing the approach to it. The position of the wall is piecewise linear, while the exponent appears to be constant. We comment on the possible implications of these results for physical walls. © SISSA/ISAS 2003.

Hanany A, Walcher J, 2003, On duality walls in string theory, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 16

Franco S, Hanany A, 2003, Geometric dualities in 4d field theories and their 5d interpretation, *Journal of High Energy Physics*, Vol: 7, Pages: 979-1004, ISSN: 1029-8479

We study four-dimensional N = 1 gauge theories arising on D3-branes probing toric singularities. Toric dualities and flows between theories corresponding to different singularities are analyzed by encoding the geometric information into (p, q) webs. A new method for identifying quiver symmetries of the four-dimensional theories using the brane webs is developed. Five-dimensional theories are associated to the theories on the D3-branes by using (p, q) webs. This leads to a novel interpretation of Seiberg duality, which can be mapped to the crossing of curves of marginal stability in five dimensions. © SISSA/ISAS 2003.

Franco S, Hanany A, 2003, Geometric dualities in 4d field theories and their 5d interpretation, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 15

Feng B, Hanany A, He YH,
et al., 2003, Quiver theories, soliton spectra and Picard-Lefschetz transformations, *Journal of High Energy Physics*, Vol: 7, Pages: 1265-1297, ISSN: 1029-8479

Quiver theories arising on D3-branes at orbifold and del Pezzo singularities are studied using mirror symmetry. We show that the quivers for the orbifold theories are given by the soliton spectrum of massive 2d N = 2 theory with weighted projective spaces as target. For the theories obtained from the del Pezzo singularities we show that the geometry of the mirror manifold gives quiver theories related to each other by Picard-Lefschetz transformations, a subset of which are simple Seiberg duals. We also address how one indeed derives Seiberg duality on the matter content from such geometrical transitions and how one could go beyond and obtain certain "fractional Seiberg duals." Moreover, from the mirror geometry for the del Pezzos arise certain Diophantine equations which classify all quivers related by Picard-Lefschetz. Some of these Diophantine equations can also be obtained from the classification results of Cecotti-Vafa for the 2d N = 2 theories. © SISSA/ISAS 2003.

Feng B, Hanany A, He YH,
et al., 2003, Quiver theories, soliton spectra and Picard-Lefschetz transformations, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 51

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: 12

Franco S, Hanany A, 2003, Toric duality, seiberg duality and Picard-Lefschetz transformations, Pages: 738-744, ISSN: 0015-8208

Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node in the quiver forms a group which is contained in a larger group given by a set of Picard-Lefschetz transformations. This leads to elements in the group (sometimes called fractional Seiberg Duals) which are not Seiberg Duality on a single node, thus providing a new set of gauge theories which flow to the same universality class in the Infra Red.

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: 81

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.

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*, ISSN: 1029-8479

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- Citations: 46

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: 64

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: 5

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., 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., 2001, Toric duality as Seiberg duality and brane diamonds, *JOURNAL OF HIGH ENERGY PHYSICS*, ISSN: 1029-8479

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- Citations: 109

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: 16

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: 86

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: 11

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: 185

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: 12

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