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Related papers: $\beta$-deformation for matrix model of M-theory

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Planar N=4 super Yang-Mills appears to be integrable. While this allows to find this theory's exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by…

High Energy Physics - Theory · Physics 2013-03-27 Livia Ferro , Tomasz Lukowski , Carlo Meneghelli , Jan Plefka , Matthias Staudacher

Integrable deformations of type IIB superstring theory on $\mathrm{AdS}_5\times S^5$ have played an important role over the last years. The Yang-Baxter deformation is a systematic way of generating such integrable deformations. Since its…

High Energy Physics - Theory · Physics 2020-12-02 Domenico Orlando , Susanne Reffert , Jun-ichi Sakamoto , Yuta Sekiguchi , Kentaroh Yoshida

The problem of membrane topology in the matrix model of M-theory is considered. The matrix regularization procedure, which makes a correspondence between finite-sized matrices and functions defined on a two-dimensional base space, is…

High Energy Physics - Theory · Physics 2010-04-05 H. Shimada

These lecture notes give a pedagogical and (mostly) self-contained review of some basic aspects of the Matrix model of M-theory. The derivations of the model as a regularized supermembrane theory and as the discrete light-cone quantization…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

Motivated by the BPS/CFT correspondence, we explore the similarities between the classical $\beta$-deformed Hermitean matrix model and the $q$-deformed matrix models associated to 3d $\mathcal{N}=2$ supersymmetric gauge theories on…

High Energy Physics - Theory · Physics 2020-12-02 Luca Cassia , Rebecca Lodin , Maxim Zabzine

We calculate the first supersymmetric and kappa-symmetric derivative deformation of the M5-brane worldvolume theory in a flat eleven-dimensional background. By applying cohomological techniques we obtain a deformation of the standard…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Drummond , S. F. Kerstan

We derive the $T\overline{T}$-perturbed version of two-dimensional $q$-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the…

High Energy Physics - Theory · Physics 2024-03-05 Leonardo Santilli , Richard J. Szabo , Miguel Tierz

We study the $T\bar{T}$ deformation of two-dimensional Yang-Mills theory at genus zero by carrying out the analysis at the level of its instanton representation. We first focus on the perturbative sector by considering its power expansion…

High Energy Physics - Theory · Physics 2022-11-09 Luca Griguolo , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

We study the structure constants of the ${\cal N}=1$ beta deformed theory perturbatively and at strong coupling. We show that the planar one loop corrections to the structure constants of single trace gauge invariant operators in the scalar…

High Energy Physics - Theory · Physics 2014-05-13 Justin R. David , Abhishake Sadhukhan

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of…

High Energy Physics - Theory · Physics 2009-07-09 T. Banks , W. Fischler , S. H. Shenker , L. Susskind

We revisit the leading irrelevant deformation of $\mathcal{N}=4$ Super Yang-Mills theory that preserves sixteen supercharges. We consider the deformed theory on $S^3 \times \mathbb{R}$. We are able to write a closed form expression of the…

High Energy Physics - Theory · Physics 2022-01-05 Joao Caetano , Wolfger Peelaers , Leonardo Rastelli

We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct…

High Energy Physics - Theory · Physics 2017-10-25 Aleksander Garus

Using the techniques developed by Lunin and Maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background C field. All the distinct possible C-field configurations are explored. Decoupling…

High Energy Physics - Theory · Physics 2008-11-26 David S. Berman , Laura C. Tadrowski

The $1/x^{2}$ deformed $c=1$ matrix model is studied at finite radius and non-zero cosmological constant. Calculational techniques are presented and illustrated in some examples. Furthermore, a new kind of $R \rightarrow 1/R$ duality is…

High Energy Physics - Theory · Physics 2009-10-22 Ulf H. Danielsson

Based on the construction by Hosomichi, Seong and Terashima we consider N=1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with…

High Energy Physics - Theory · Physics 2013-06-05 Johan Kallen , Jian Qiu , Maxim Zabzine

The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Omega-type deformations in various dimensions. In this article, we review a number of…

High Energy Physics - Theory · Physics 2015-06-17 Domenico Orlando , Susanne Reffert

We examine a double trace deformation of SU(N) Yang-Mills theory which, for large $N$ and large volume, is equivalent to unmodified Yang-Mills theory up to $O(1/N^2)$ corrections. In contrast to the unmodified theory, large $N$ volume…

High Energy Physics - Theory · Physics 2008-11-26 Mithat Unsal , Laurence G. Yaffe

In this paper we generalize the O(p+1,p+1) solution generating technique (this is a method used to deform Dp-branes by turning on a NS-NS B-field) to M-theory, in order to be able to deform M5-brane supergravity solutions directly in eleven…

High Energy Physics - Theory · Physics 2009-11-07 Henric Larsson

We consider $(2+1)$-dimensional mass-deformed SYM theories and their M-theory origin. These are obtained from MP Higgsing of ABJM theory with constant flux and fixing the mass terms via supersymmetry completion. Depending on the choice of…

High Energy Physics - Theory · Physics 2011-09-20 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We study \Omega-deformation of B-twisted gauge theories in two dimensions. As an application, we construct an \Omega-deformed, topologically twisted five-dimensional maximally supersymmetric Yang-Mills theory on the product of a Riemann…

High Energy Physics - Theory · Physics 2015-02-17 Yuan Luo , Meng-Chwan Tan , Junya Yagi , Qin Zhao