On deformed gauge theories and their string/M-theory duals

Abstract

We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of gauge theories with deformed products of fields in the lagrangian, and the duals can be analyzed by using transformed D-brane probes. As examples illustrating some features of the deformed theories, we consider the known backgrounds dual to non-commutative, dipole and beta-deformed N=4 Super Yang-Mills as well as new backgrounds dual to deformations of the recently proposed N=6 Chern-Simons-matter theory living on multiple M2-branes on an orbifold.

34 pages, 2 figures; typos corrected, references and clarifications added; order of subsections changed, redundant solution in 6.3 removed; published version

References in corpus (21)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Warped Supersymmetry Breaking
• Elaborations on the String Dual to N=1 SQCD
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Aspects of Multiple Membranes
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Giants and loops in beta-deformed theories
• Supergravity dual of Chern-Simons Yang-Mills theory with N=6,8 superconformal IR fixed point
• Mesons in marginally deformed AdS/CFT
• M-Theory Brane Deformations
• Giants on Deformed Backgrounds Part II: The Gauge Field Fluctuations

Cited by in corpus (62)

• The gauge dual of Romans mass
• TsT, $T\bar{T}$ and black strings
• Conformal non-relativistic hydrodynamics from gravity
• Schrödinger geometries arising from Yang-Baxter deformations
• On AdS_4 x CP^3 T-duality
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• Disorder Averaging and its UV (Dis)Contents
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Marginal Deformations and 3-Algebra Structures
• Non-relativistic CFT and Semi-classical Strings
• Non-relativistic metrics with extremal limits
• RG stability of integrable fishnet models
• Effective action of three-dimensional extended supersymmetric matter on gauge superfield background
• Deformations of Holographic Duals to Non-Relativistic CFTs
• Flux and Hall states in ABJM with dynamical flavors
• Non-abelian tri-vector deformations in d=11 supergravity
• Polyvector deformations in eleven-dimensional supergravity
• Non-abelian U-duality at work
• N=2 Moduli of AdS4 vacua: A fine-print study
• Charged, conformal non-relativistic hydrodynamics
• Yang-Baxter deformations of Minkowski spacetime
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Fermionic T-duality and U-duality in type II supergravity
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters
• Quantum noncommutative ABJM theory: first steps
• Y-system for $\gamma$-deformed ABJM Theory
• Finite-size Giant Magnons on AdS_4 x CP^3_γ
• Geometry and Phase Structure of Non-Relativistic Branes
• Marginal deformations from type IIA supergravity
• Tri-vector deformations on compact isometries
• Non-commutative massive unquenched ABJM
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Integrability of Orbifold ABJM Theories
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• Polyvector deformations of Type IIB backgrounds
• Integrability structures in string theory
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• SUSY and tri-vector deformations
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Tri-vector deformations with external fluxes
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• $T^3$ deformations and $\beta$-deformed geometries
• Phase Structure of Beta-deformed N=4 SYM on S^3 with Chemical Potentials
• Holographic duality and applications
• Spectral curve for gamma-deformed AdS/CFT
• Superconformal Chern-Simons theories beyond leading order
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• Notes on Multi-Spin Strings in $Ad{S}_4\times C{P}^3$ and its marginal deformations
• Brane bound states, deformations and OM
• From ${\mathrm{AdS}}_5$ to ${\mathrm{AdS}}_3$: TsT deformations, Magnetic fields and Holographic RG Flows
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Aspects of Gauge-Gravity Duality
• Aspects of ABJM orbifolds with discrete torsion
• Free Lunch from T-Duality