S-duality of the Leigh-Strassler Deformation via Matrix Models

Dorey, Nick; Hollowood, Timothy J.; Kumar, S. Prem

doi:10.1088/1126-6708/2002/12/003

Cited by 70 publications

(158 citation statements)

References 25 publications

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“…The answer is that, in that case, the F-term action on the partially confining branch is actually trivial because of the constraints of conformal invariance and global symmetries. To avoid confusion, note that the matrix model analysis of [28,52,53] was applied to the Coulomb branch of the model where the F-terms are non-trivial. 5 Here [k] denotes the greatest integer less than or equal to k.…”

Section: A New Examplementioning

confidence: 99%

Non-critical superstrings from four-dimensional gauge theory

Bertoldi

Dorey

2005

J. High Energy Phys.

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We study large-N double-scaling limits of U(N) gauge theories in four dimensions. We focus on theories in a partially confining phase where an abelian subgroupĜ of the gauge group remains unconfined. Double-scaling is defined near critical points in the parameter/moduli space where states charged underĜ become massless. In specific cases, we present evidence that the double-scaled theory is dual to a non-critical superstring background. Models studied include the β-deformation of N = 4 SUSY Yang-Mills which leads to a non-critical string theory with sixteen supercharges. We also study N = 1 SUSY Yang-Mills theory coupled to a single chiral superfield with a polynomial superpotential which leads to a related string theory with eight supercharges. In both cases the string coupling is small and the background is free from Ramond-Ramond flux.

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Section: A New Examplementioning

confidence: 99%

Non-critical superstrings from four-dimensional gauge theory

Bertoldi

Dorey

2005

J. High Energy Phys.

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“…Indeed as argued in [27,28,29] the deformation parameter beta transform as a modular form under the modular action of the complexified gauge coupling. This action of the S-duality group is strongly related to the requirement of a duals string background 4 .…”

Section: Iss Vacua and The Gravity Dualmentioning

confidence: 94%

Dynamical SUSY breaking and the β-deformation

Amariti

2011

J. High Energ. Phys.

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We study supersymmetry breaking metastable vacua arising from beta deformed quiver gauge theories. The relation between the bounds on metastability and the deformation are discussed. Metastable supersymmetry breaking vacua are found in the IR of beta deformed cascading quivers with vector-like field content. Furthermore the limiting case of massive N f = N c SQCD appears in the IR of gauge theories with chiral-like field content. We comment on the field theory origin of the deformation and on possible applications in AdS/CFT.

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“…In addition, the solution contains the two-form fields (which were absent in the undeformed β = 0 case) 8) as well as the usual five-form field-strength…”

Section: Transformation Properties Of the Gravity Dualmentioning

confidence: 99%

“…More precisely, the authors of [8] showed that at least in the massive phase the deformed theory has an action of the SL(2, Z) group which interchanges various massive vacua of the theory. Under this transformation, the deformation parameter β transforms as a modular form [8]:…”

Section: Introductionmentioning

confidence: 99%

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String theory dual of the β-deformed gauge theory

Chu

Khoze

2006

J. High Energy Phys.

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We consider the AdS/CFT correspondence between the β-deformed supersymmetric gauge theory and the type IIB string theory on the Lunin-Maldacena background. Guided by gauge theory results, we modify and extend the supergravity solution of Lunin and Maldacena in two ways. First we make it to be doubly periodic in the deformation parameter, β → β + 1 and β → β + τ 0 , to match the β-periodicity property of the dual gauge theory. Secondly, we reconcile the SL(2, Z) symmetry of the gauge theory, which acts on the constant parameters τ 0 and β, with the SL(2, Z) invariance of the string theory, which involves the dilaton-axion field τ (x). Our proposed modified configuration transforms correctly under the SL(2, Z) of string theory when its parameters are transformed under the SL(2, Z) of the gauge theory. We interpret the resulting configuration as the string theory (rather than supergravity) background which is dual to the β-deformed conformal Yang-Mills. Finally, we check that our string theory background leads to the IIB effective action which is correctly reproduced by instanton calculations on the gauge theory side, carried out at weak coupling, in the large-N limit, but to all orders in the deformation parameter β.

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S-duality of the Leigh-Strassler Deformation via Matrix Models

Cited by 70 publications

References 25 publications

Non-critical superstrings from four-dimensional gauge theory

Non-critical superstrings from four-dimensional gauge theory

Dynamical SUSY breaking and the β-deformation

String theory dual of the β-deformed gauge theory

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