Deforming field theories with U(1) × U(1) global symmetry and their gravity duals
By O. Lunin, J. Maldacena. 2005
800 citations recorded by the source corpus.
We find the gravity dual of a marginal deformation of = 4 super Yang Mills, and discuss some of its properties. This deformation is intimately connected with an SL(2,) symmetry of the gravity theory. The SL(2,) transformation enables us to find the solutions in a simple way. These field theory deformations, sometimes called β deformations, can be viewed as arising from a star product. Our method works for any theory that has a gravity dual with a U(1) × U(1) global symmetry which is realized geometrically. These include the field theories that live on D3 branes at the conifold or other toric singularities, as well as their cascading versions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/858910c103b9a4d6cdbfe44f7712c0afb6b8888a
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Citations in the corpus
- The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, methodology): “This should be relevant for the study of γ -deformed models [35, 36] which are known to be related to Green–Schwarz superstrings in AdS5 × S5 subject to twisted boundary conditions [34, 36].”
- Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, methodology): “Let us first discuss the case of σd = 0 where the deformed background can be obtained from AdS5×S5 by means of a T-duality on one circle of S5, a shift of another angle variable, followed by another T-duality.”
- Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “This road has been taken in the case of AdS5/CFT4, where a plethora of deformations has been shows to preserve integrability, such as orbifolds [251,252] and T-duality-shift-T-duality (TsT) deformations [253,254] of the background, and quantum deformations (in the sense of quantum groups) of the und”
- From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, background): “For other operators that is not the case, for example there are operators with large R-charge and QH = QV = 0, that arise taking powers of one basic operator O� with QR = 2 and QH = QV = 0. This short BPS meson O� generates the �-deformation [24, 25 ] and exists for any toric superconformal quiver ”
- Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, background): “For example, one can apply the TsT transformation to the R-charged asymptotically AdS5 black holes constructed in [42].”
- Supersymmetric AdS5 solutions of type IIB supergravity (2005, methodology): “In [ 38 ] a powerful technique to generate new AdS5 solutions from old ones, which describe the so-called β-deformations of the original conformal field theory, was presented.”
- Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory (2005, methodology): “It turns out to be straightforward to generalize the discussion to the case of the more general non-supersymmetric 3-parameter (γi) deformation of the AdS5×S geometry constructed in [3] using the same TsT (T-duality, shift, T-duality) transformation as in [1].”
- Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “sums running from one to three, where the hk denote the Cartans of su(4), gives the three parameter generalization [6] of the Lunin-Maldacena background [4] (γ̂i = β̂).”
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “This additional sign is like a familiar “magnetic field” twist and the corresponding Bethe Ansatz equations are also analogous to those that appear in the β-deformed SYM theory [48, 49] for a special real value of the deformation parameter βd = 1 2J .”
- S-matrix for strings on η-deformed AdS5 × S5 (2013, background): “J H E P 0 4 ( 2 0 1 4 ) 0 0 2 giving a string theory on a TsT-transformed background [4, 5].”
- Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “In particular, it was successfully used in [1] to obtain a deformation of the AdS5 × S5 geometry which was conjectured to be dual to a supersymmetric marginal deformation of N = 4 SYM sometimes called a β deformation [4]– [6].”