String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring

Abstract

We build string backgrounds for Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring generated by $r$-matrices satisfying the classical Yang-Baxter equation. We obtain the metric and the NS-NS two-form of the gravity dual corresponding to noncommutative and dipole deformations of ABJM theory, as well as a deformed background with Schrödinger symmetry. The first two backgrounds may also be found by TsT transformations while for the last background we get a new family of non-relativistic ABJM theories with Schrödinger symmetry.

arXiv comment21 pages, Published version

References in corpus (54)

• String Theory and Noncommutative Geometry
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Noncommutative Open String and D-brane
• Space-Time Noncommutative Field Theories And Unitarity
• On integrability of the Yang-Baxter $\si$-model
• Large N Limit of Non-Commutative Gauge Theories
• An integrable deformation of the AdS_5 x S^5 superstring action
• Lax Pair for Strings in Lunin-Maldacena Background
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• On classical q-deformations of integrable sigma-models
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Space/Time Non-Commutativity and Causality
• Noncommutative Geometry From Strings and Branes
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Heating up Galilean holography
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Hot Spacetimes for Cold Atoms
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Jordanian deformations of the AdS_5xS^5 superstring
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Supergravity and Large N Noncommutative Field Theories
• Abelian Yang-Baxter Deformations and TsT transformations
• Nonlocal Field Theories and their Gravity Duals
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Integrable deformations of T-dual $\sigma$ models
• Integrability of classical strings dual for noncommutative gauge theories
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• On deformed gauge theories and their string/M-theory duals
• Families of IIB duals for nonrelativistic CFTs
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions
• Schrödinger geometries arising from Yang-Baxter deformations
• On non-abelian T-duality and deformations of supercoset string sigma-models
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Vector Deformations of N=4 Super-Yang-Mills Theory, Pinned Branes, and Arched Strings
• Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x S5 superstrings
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• On jordanian deformations of AdS_5 and supergravity
• Osp(N|4) supermultiplets as conformal superfields on \partial AdS_4 and the generic form of N=2, D=3 gauge theories
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• Supersymmetric non-relativistic geometries in M-theory
• Deformations of Holographic Duals to Non-Relativistic CFTs
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• Galilean type IIA backgrounds and a map

Cited by in corpus (1)

• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds