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Recently, the infinitesimal moduli space of heterotic $G_2$ compactifications was described in supergravity and related to the cohomology of a target space differential. In this paper we identify the marginal deformations of the…

High Energy Physics - Theory · Physics 2018-02-23 Marc-Antoine Fiset , Callum Quigley , Eirik Eik Svanes

We analyze the slow roll limit of the massive version of time-dependent Yang--Mills type matrix model. We find that this limit reproduces the one-loop non-Hermitian matrix model, describing the dilatations of the local gauge invariant…

High Energy Physics - Theory · Physics 2011-08-19 Corneliu Sochichiu

It is known for ten years that self-dual Yang-Mills theory is the effective field theory of the open N=2 string in 2+2 dimensional spacetime. We uncover an infinite set of abelian rigid string symmetries, corresponding to the symmetries and…

High Energy Physics - Theory · Physics 2015-06-25 Tatiana A. Ivanova , Olaf Lechtenfeld

Inspired by the Movshev-Mason-Skinner Cauchy-Riemann (CR) ambitwistor approach, we provide a rigorous yet elementary construction of a twisted CR holomorphic Chern-Simons action on CR ambitwistor space for maximally supersymmetric…

High Energy Physics - Theory · Physics 2025-04-29 Leron Borsten , Branislav Jurco , Hyungrok Kim , Christian Saemann , Martin Wolf

We construct exact analytic solutions for a supersymmetric Chern-Simons theory with matter fields in the adjoint representation (unconventional supersymmetry). The configurations correspond to gravitating spinor fields on BTZ geometries…

High Energy Physics - Theory · Physics 2025-09-04 P. D. Alvarez , J. Ortiz , J. Zanelli

Previous attempts to determine the worldsheet origin of the pure spinor formalism were not completely successful, but introduced important concepts that seem to be connected to its fundamental structure, e.g., emergent supersymmetry and the…

High Energy Physics - Theory · Physics 2019-10-08 Renann Lipinski Jusinskas

We consider multiple Euclidean D3-branes in a specific supergravity solution, which consists of a self-dual 5-form RR field in a flat background. We propose a deformation of ${\cal N}=4$ SYM action describing the dynamics of D3-branes in…

High Energy Physics - Theory · Physics 2009-11-11 Ali Imaanpur

We consider operators in ${\cal N}=4$ super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries. The LLM geometries we consider are specified by a boundary condition that is a set of black rings on the…

High Energy Physics - Theory · Physics 2018-07-04 Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

The existence of normalizable zero modes of the twisted Dirac operator is proven for a class of static Einstein-Yang-Mills background fields with a half-integer Chern-Simons number. The proof holds for any gauge group and applies to Dirac…

High Energy Physics - Theory · Physics 2009-10-30 Othmar Brodbeck , Norbert Straumann

A generic half-BPS surface defect of ${\mathcal N}=4$ supersymmetric U$(N)$ Yang-Mills theory is described by a partition of $N = n_1 + \ldots + n_M$ and a set of $4M$ continuous parameters. We show that such a defect can be realized by…

High Energy Physics - Theory · Physics 2020-09-01 S. K. Ashok , M. Billo , M. Frau , A. Lerda , S. Mahato

The local cohomology of an extended BRST differential which includes global N=1 supersymmetry and Poincare transformations is completely and explicitly computed in four-dimensional supersymmetric gauge theories with super-Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-07 Friedemann Brandt

We summarize our recent work on supergravity backgrounds dual to part of the Coulomb branch of N=1 theories constructed as marginal deformations of N=4 Yang-Mills. In particular, we present a summary of the behaviour of the heavy…

High Energy Physics - Theory · Physics 2009-11-11 Rafael Hernandez , Konstadinos Sfetsos , Dimitrios Zoakos

The low-energy limit of string theory contains an anomaly-canceling correction to the Einstein-Hilbert action, which defines an effective theory: Chern-Simons (CS) modified gravity. The CS correction consists of the product of a scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Nicolas Yunes , Frans Pretorius

We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at higher orders in the large $N_{\text{c}}$ genus expansion and at any order in…

High Energy Physics - Theory · Physics 2019-06-05 Till Bargheer , Joao Caetano , Thiago Fleury , Shota Komatsu , Pedro Vieira

We study the dimensional reduction of ten-dimensional super Yang-Mills theory in curved backgrounds with torsion. We examine the parallel spinor conditions and the constraints for the torsion parameters which preserve supersymmetry and…

High Energy Physics - Theory · Physics 2015-06-11 Katsushi Ito , Hiroaki Nakajima , Shin Sasaki

We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies \`a la Gribov and Zwanziger. Through the convenient use…

We study massive spinor fields in the geometry of a straight cosmic string in a de Sitter background. We find a hidden N=2 supersymmetry in the fermionic solutions of the equations of motion. We connect the zero mode solutions to the…

High Energy Physics - Theory · Physics 2015-05-27 V. K. Oikonomou

Permutations and associated algebras allow the construction of half and quarter BPS operators in maximally supersymmetric Yang Mills theory with $U(N)$, $SO(N)$ and $Sp(N) $ gauge groups. The construction leads to bases for the operators,…

High Energy Physics - Theory · Physics 2020-09-22 Christopher Lewis-Brown , Sanjaye Ramgoolam

N = 6 superconformal Chern-Simons theory was proposed as gauge theory dual to Type IIA string theory on AdS4*CP3. We study integrability of the theory from conformal dimension spectrum of single trace operators at planar limit. At strong `t…

High Energy Physics - Theory · Physics 2009-02-09 Dongsu Bak , Soo-Jong Rey

We show that the requirement that a SU(N) Yang-Mills action (gauge fixed in a linear covariant gauge) is invariant under both the Becchi-Rouet-Stora-Tyutin (BRST) symmetry as well as the corresponding antiBRST symmetry, automatically…

High Energy Physics - Theory · Physics 2013-11-13 D. Binosi , A. Quadri