Dipoles, twists and noncommutative gauge theory

Bergman, Aaron; Ganor, Ori

doi:10.1088/1126-6708/2000/10/018

Cited by 121 publications

(228 citation statements)

References 41 publications

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“…For examples, if one of the U(1) is transverse to the brane, then one obtains a dipole field theory [47][48][49]. If taking both of the U(1) to be transverse to the brane gives rise to the construction of Lunin and Maldacena [50].…”

Section: Jhep02(2017)032mentioning

confidence: 99%

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Huang

2017

J. High Energ. Phys.

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Abstract:We apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to a stack of N black M-branes to find the Melvin spacetime of a stack of N black D-branes with magnetic or electric flux in string theory, after the Kaluza-Klein reduction. We slightly extend previous formulas to investigate the external magnetic and electric effects on the butterfly effect and holographic mutual information. It shows that the Melvin fields do not modify the scrambling time and will enhance the mutual information. In addition, we also T-dualize and twist a stack of N black D-branes to find a Melvin Universe supported by the flux of the NSNS b-field, which describes a non-comutative spacetime. It also shows that the spatial noncommutativity does not modify the scrambling time and will enhance the mutual information. We also study the corrected mutual information in the backreaction geometry due to the shock wave in our three model spacetimes.

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Section: Jhep02(2017)032mentioning

confidence: 99%

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Huang

2017

J. High Energ. Phys.

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“…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].…”

Section: Jhep10(2015)185mentioning

confidence: 99%

Yang-Baxter deformations of Minkowski spacetime

Matsumoto

Orlando

Reffert

et al. 2015

J. High Energ. Phys.

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We study Yang-Baxter deformations of 4D Minkowski spacetime. The YangBaxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset curved spaces and models based on the usual classical Yang-Baxter equation. On the other hand, for flat space, there is the obvious problem that the standard bilinear form degenerates if we employ the familiar coset Poincaré group/Lorentz group. Instead we consider a slice of AdS 5 by embedding the 4D Poincaré group into the 4D conformal group SO(2, 4) . With this procedure we obtain metrics and B-fields as Yang-Baxter deformations which correspond to well-known configurations such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, the T-dual of Grant space, pp-waves, and T-duals of dS 4 and AdS 4 . Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field which we conjecture to correspond to a new integrable system.

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“…This is particularly interesting for type IIB string theory on the null-brane since the conventional IIB Matrix description [36] is promoted from a 2 + 1 to a 3 + 1-dimensional field theory. Lastly, we note that studying D-branes on this kind of quotient space gives a theory that should be closely connected to the dipole models of [37], perhaps with a time-dependent dipole. It would be interesting to make this connection precise.…”

Section: A Non-abelian Generalizationmentioning

confidence: 94%

A matrix model for the null-brane

Robbins

Sethi

2006

J. High Energy Phys.

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The null-brane background is a simple smooth 1/2 BPS solution of string theory.By tuning a parameter, this background develops a big crunch/big bang type singularity. We construct the DLCQ description of this space-time in terms of a Yang-Mills theory on a time-dependent space-time. Our dual Matrix description provides a nonperturbative framework in which the fate of both (null) time, and the string S-matrix can be studied.

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Dipoles, twists and noncommutative gauge theory

Cited by 121 publications

References 41 publications

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Butterfly effect and holographic mutual information under external field and spatial noncommutativity

Yang-Baxter deformations of Minkowski spacetime

A matrix model for the null-brane

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