Publications
225 results found
Hanany A, Herzog CP, Vegh D, 2006, Brane tilings and exceptional collections, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 54
Benvenuti S, Hanany A, 2006, New results on superconformal quivers, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 17
Franco S, Hanany A, Vegh D, et al., 2006, Brane dimers and quiver gauge theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 289
Franco S, Hanany A, Martelli D, et al., 2006, Gauge theories from toric geometry and brane tilings, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 246
Franco S, Hanany A, Saad F, et al., 2006, Fractional branes and dynamical supersymmetry breaking, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 92
Franco S, Hanany A, Uranga AM, 2005, Multi-flux warped throats and cascading gauge theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 44
Hanany A, Kazakopoulos P, Wecht B, 2005, A new infinite class of quiver gauge theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 34
Benvenuti S, Hanany A, 2005, Conformal manifolds for the conifold and other toric field theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 52
Benvenuti S, Hanany A, Kazakopoulos P, 2005, The toric phases of the <i>Y<SUP>p,q</SUP></i> quivers -: art. no. 021, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 38
Benvenuti S, Franco S, Hanany A, et al., 2005, An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 211
Hanany A, Hashimoto K, 2005, Reconnection of colliding cosmic strings, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 51
Franco S, Hanany A, 2005, On the fate of tachyonic quivers, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 4
Franco S, Hanany A, 2005, On the fate of tachyonic quivers, Journal of High Energy Physics, Pages: 715-735, ISSN: 1029-8479
We study gauge theories on the world-volume of D3-branes probing singularities. Seiberg duality can be realized as a sequence of Picard-Lefschetz monodromies on 3-cycles in the mirror manifold. In previous work, the precise meaning of gauge theories obtained by monodromies that do not correspond to Seiberg duality was unclear. Recently, it was pointed out that these theories contain tachyons, suggesting that the collection of branes at the singularity is unstable. We address this problem using (p, q) web techniques. It is shown that theories with tachyons appear whenever the (p, q) web contains crossing legs. A recent study of these theories with tachyons using exceptional collections proposed the notion of "well split condition." We show the equivalence between the well split condition and the absence of crossing legs in the (p, q) web. The (p, q) web has a natural resolution of crossing legs which was first studied in the construction of five dimensional fixed points using branes. Exploiting this result, we develop a generic procedure which we propose determines the quiver that corresponds to the stable bound state of D-branes that live on the singularity after the monodromy. This set is generically larger than the original set, meaning that there are extra massless gauge fields and matter fields in the quiver. Alternatively, one can argue that since these gauge and matter fields are initially assumed to be absent, the theory exhibits tachyonic excitations. We illustrate our ideas in an explicit example for D3-branes on a complex cone over dP1, computing both the quiver and the superpotential. © SISSA 2005.
Benvenuti S, Franco S, Hanany A, et al., 2005, An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals, JHEP, Vol: 064
Franco S, Hanany A, Kazakopoulos P, 2004, Hidden exceptional global symmetries in 4d CFTs, Journal of High Energy Physics, Vol: 8, Pages: 1475-1530, ISSN: 1029-8479
We study four dimensional N = 1 gauge theories that arise on the worldvolume of D3-branes probing complex cones over del Pezzo surfaces. Global symmetries of the gauge theories are made explicit by using a correspondence between bifundamental fields in the quivers and divisors in the underlying geometry. These global symmetries are hidden, being unbroken when all inverse gauge couplings of the quiver theory vanish. In the broken phase, for finite gauge couplings, only the Cartan subalgebra is manifest as a global symmetry. Superpotentials for these models are constructed using global symmetry invariants as their building blocks. Higgsings connecting theories for different del Pezzos are immediately identified by performing the appropriate higgsing of the global symmetry groups. The symmetric properties of the quivers are also exploited to count the first few dibaryon operators in the gauge theories, matching their enumeration in the AdS duals. © SISSA/ISAS 2004.
Franco S, Hanany A, Kazakopoujos P, 2004, Hidden exceptional global symmetries in 4d CFTs, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 13
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: 253
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.
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: 51
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, Tong D, 2003, Vortices, instantons and branes, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 394
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: 18
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: 52
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.
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