Twisted backgrounds, PP-waves and nonlocal field theories

Abstract

We study partially supersymmetric plane-wave like deformations of string theories and M-theory on brane backgrounds. These deformations are dual to nonlocal field theories. We calculate various expectation values of configurations of closed as well as open Wilson loops and Wilson surfaces in those theories. We also discuss the manifestation of the nonlocality structure in the supergravity backgrounds. A planewave like deformation of little string theory has also been studied.

Kerr/CFT, dipole theories and nonrelativistic CFTs

“…The asymptotic structure of the resulting decoupled geometries is not particularly easy to interpret from a holographic point of view. Nevertheless, if in addition one takes a Penrose-like limit while scaling the λ parameter to zero at the same time, one obtains precisely the Schrödinger backgrounds (3.21) [50]. Because of the infinite boost, the dipole vector L µ becomes lightlike, and thus gravity in Schrödinger backgrounds is dual to a lightlike dipole theory.…”

“…Another way to study the nonlocality of the dual theory in the y direction is to use a string-theoretical construction of certain Schrödinger backgrounds by use of a TsT (Tduality, shift, T-duality) transformation [50,51]. This construction yields an example of a concrete field theory dual to the Schrödinger backgrounds, known as a lightlike dipole theory [50,52].…”

“…This construction yields an example of a concrete field theory dual to the Schrödinger backgrounds, known as a lightlike dipole theory [50,52]. These theories are nonlocal deformations in the y direction of the original gauge theories dual to the undeformed backgrounds.…”

“…They can be obtained via a Penrose limit of the spacelike dipole theories [50]. The supergravity backgrounds that they are dual to can be obtained from (6.5) by first defining lightlike "boundary" coordinateŝ u = R ϕ − τ ,v = R ϕ + τ ,û ∼û + 2πR ,v ∼v + 2πR (6.13) in terms of which the metric reads…”

Yang-Baxter deformations of Minkowski spacetime

“…Jordanian deformations based on the cybe have been proposed in [38]. In the latter case, there are a lot of classical r-matrices satisfying the cybe and some of them are associated with well-known gravitational backgrounds, such as Lunin-Maldacena-Frolov backgrounds [39,40], gravity duals for non-commutative gauge theories [41,42], Schrödinger spacetimes [43][44][45][46][47] and gravity duals for dipole theories [48][49][50][51][52], as shown in a series of works [53][54][55][56][57]. Very recently, the reality of the classical action has been revisited in [58] and a unified picture of deformed integrable sigma models has been provided in [59].…”