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Related papers: The Omega Deformation From String and M-Theory

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Supersymmetric configurations of type II D-branes with nonzero gauge field strengths in general supersymmetric backgrounds with nonzero B fields are analyzed using the kappa-symmetric worldvolume action. It is found in dimension four or…

High Energy Physics - Theory · Physics 2009-10-31 Marcos Marino , Ruben Minasian , Gregory Moore , Andrew Strominger

We deform classical holomorphic Chern--Simons theory on a Calabi--Yau three-fold $X$ by deforming the complex structure by a deformation parameter $h \in\mathscr{H}^{0,1}(T^{1,0}X)$. The corresponding equations of motion admit new…

High Energy Physics - Theory · Physics 2026-04-28 Eirik Høgmoe Kjelsnes , Eirik Eik Svanes , Vegard Undheim

It is shown by Connes, Douglas and Schwarz that gauge theory on noncommutative torus describes compactifications of M-theory to tori with constant background three-form field. This indicates that noncommutative gauge theories on more…

High Energy Physics - Theory · Physics 2016-11-23 I. Ya. Aref'eva , I. V. Volovich

We show that global properties of gauge groups can be understood as geometric properties in M-theory. Different wrappings of a system of N M5-branes on a torus reduce to four-dimensional theories with $A_{N-1}$ gauge algebra and different…

High Energy Physics - Theory · Physics 2015-12-09 Antonio Amariti , Claudius Klare , Domenico Orlando , Susanne Reffert

We revisit an emergent gravity scenario in $(4+1)$ dimensions underlying a propagating geometric torsion ${\cal H}_3$ with a renewed interest. We show that a pair-symmetric $4$th order curvature tensor is sourced by a two-form Neveu-Schwarz…

High Energy Physics - Theory · Physics 2021-02-24 R. Nitish , Supriya Kar

We present a concise overview of the physical and mathematical structures underpinning the appearence of nonassociative deformations of geometry in non-geometric string theory. Starting from a quick recap of the appearence of noncommutative…

High Energy Physics - Theory · Physics 2018-03-30 Richard J. Szabo

We propose a string theory realization of three-dimensional $\mathcal{N}=4$ quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in…

High Energy Physics - Theory · Physics 2020-12-30 Andrés Collinucci , Roberto Valandro

In this short letter we present a class of remarkably simple solutions to Witten's open string field theory that describe marginal deformations of the underlying boundary conformal field theory. The solutions we consider correspond to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Schnabl

We investigate how the marginal deformations of N=4 supersymmetric Yang-Mills theory (analysed in particular by Leigh and Strassler) arise within B-model topological string theory on supertwistor space CP(3|4). This is achieved by turning…

High Energy Physics - Theory · Physics 2009-11-10 Manuela Kulaxizi , Konstantinos Zoubos

In this review we discuss the global geometry of noncommutative field theories from a deformation point of view: The space-times under consideration are deformations of classical space-time manifolds using star products. Then matter fields…

Quantum Algebra · Mathematics 2007-10-12 Stefan Waldmann

We construct noncommutative gauge theories based on the notion of the Weyl bundle, which appears in Fedosov's construction of deformation quantization on an arbitrary symplectic manifold. These correspond to D-brane worldvolume theories in…

High Energy Physics - Theory · Physics 2009-10-31 Tsuguhiko Asakawa , Isao Kishimoto

We study the low energy effective action of the $\Omega$-deformed $\mathcal N =2^{*}$ $SU(2) $ gauge theory. It depends on the deformation parameters $\epsilon_{1},\epsilon_{2}$, the scalar field expectation value $a$, and the…

High Energy Physics - Theory · Physics 2016-08-24 Matteo Beccaria , Guido Macorini

The tree-level amplitudes in $\beta$-deformed theory are studied from twistor string theory. We first show that a simple generalization of the proposal in hep-th/0410122 gives the correct results for all of the tree-level amplitudes to the…

High Energy Physics - Theory · Physics 2008-11-26 Peng Gao , Jun-Bao Wu

We consider two seemingly different theories in the $\Omega$-background: one arises upon the most generic Higgsing of a 5d $\mathcal{N}=1$ $\text{U}(N)$ gauge theory coupled to matter, yielding a 3d-1d intersecting defect; the other one…

High Energy Physics - Theory · Physics 2022-01-17 Fabrizio Nieri

We consider a deformation of N=1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, instead of the standard…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Cumrun Vafa

We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a topological…

High Energy Physics - Theory · Physics 2008-11-26 Robbert Dijkgraaf , Sergei Gukov , Andrew Neitzke , Cumrun Vafa

We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric…

High Energy Physics - Theory · Physics 2016-01-20 Calan Appadu , Timothy J. Hollowood

We study non-perturbative effects in supersymmetric U(N) gauge theories in eight dimensions realized by means of D(-1)/D7-brane systems with non-trivial world-volume fluxes turned on. Using an explicit string construction in terms of vertex…

High Energy Physics - Theory · Physics 2021-04-28 M. Billo , M. Frau , F. Fucito , L. Gallot , A. Lerda , J. F. Morales

In this paper we consider the gauge theory living on the world-volume of a stack of N D3-branes of Type 0B/\Omega' I_6(-1)^{F_{L}} and of its orbifolds C^2/Z_2 and C^3/(Z_2 x Z_2). The gauge theories obtained in the three cases are a brane…

High Energy Physics - Theory · Physics 2008-11-26 P. Di Vecchia , A. Liccardo , R. Marotta , F. Pezzella

We propose that a novel deformation of string perturbation theory, involving non-local interactions between strings, is required to describe the gravity duals of field theories deformed by multiple-trace operators. The new perturbative…

High Energy Physics - Theory · Physics 2009-11-07 Ofer Aharony , Micha Berkooz , Eva Silverstein