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We construct a new SO(3)$\times$SO(3) invariant non-supersymmetric solution of the bosonic field equations of $D=11$ supergravity from the corresponding stationary point of maximal gauged $N=8$ supergravity by making use of the non-linear…

High Energy Physics - Theory · Physics 2015-06-23 Hadi Godazgar , Mahdi Godazgar , Olaf Krueger , Hermann Nicolai , Krzysztof Pilch

Deformed special relativity is embedded in deformed general relativity using the methods of canonical relativity and loop quantum gravity. Phase-space dependent deformations of symmetry algebras then appear, which in some regimes can be…

General Relativity and Quantum Cosmology · Physics 2013-08-05 Martin Bojowald , George M. Paily

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

High Energy Physics - Theory · Physics 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a…

High Energy Physics - Theory · Physics 2015-05-28 David Andriot , Magdalena Larfors , Dieter Lust , Peter Patalong

We introduce superspace generalizations of the transverse derivatives to rewrite the four-dimensional N=4 Yang-Mills theory into the fully ten-dimensional N=1 Yang-Mills in light-cone form. The explicit SuperPoincare algebra is constructed…

High Energy Physics - Theory · Physics 2007-07-09 Sudarshan Ananth , Lars Brink , Pierre Ramond

We holographically study supersymmetric deformations of $N=3$ and $N=1$ superconformal field theories (SCFTs) in three dimensions using four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with non-semisimple…

High Energy Physics - Theory · Physics 2017-03-03 Parinya Karndumri

A nonlinear vector supersymmetry for three-dimensional topological massive Yang-Mills is obtained by making use of a nonlinear but local and covariant redefinition of the gauge field.

High Energy Physics - Theory · Physics 2010-02-05 C. A. G. Sasaki , D. G. G. Sasaki , S. P. Sorella

We discuss the four-dimensional N=1 effective approach in the study of warped type II flux compactifications with SU(3)x SU(3)-structure to AdS_4 or flat Minkowski space-time. The non-trivial warping makes it natural to use a supergravity…

High Energy Physics - Theory · Physics 2009-11-18 Paul Koerber , Luca Martucci

We propose a new algebraic deformation of ${\cal N}=4$ SYM via decomposition of spinor and scalar fields in vector supermultiplet. This decomposition generates degrees of freedom of usual quarks and leptons and the deformation model is a…

High Energy Physics - Theory · Physics 2007-05-23 Xiao-Jun Wang

We construct a universal trigonometric solution of the Gervais-Neveu-Felder equation in the case of finite dimensional simple Lie algebras and finite dimensional contragredient simple Lie superalgebras.

q-alg · Mathematics 2007-05-23 D. Arnaudon , E. Buffenoir , E. Ragoucy , Ph. Roche

We consider a Jordanian deformation of the AdS_5xS^5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only…

High Energy Physics - Theory · Physics 2015-06-18 Io Kawaguchi , Takuya Matsumoto , Kentaroh Yoshida

We consider the extension of the general-linear and special-linear algebras by employing the Maxwell symmetry in $D$ space-time dimensions. We show how various Maxwell extensions of the ordinary space-time algebras can be obtained by a…

High Energy Physics - Theory · Physics 2023-03-03 Salih Kibaroğlu , Oktay Cebecioğlu , Ahmet Saban

Yang-Baxter (YB) deformations of string sigma model provide deformed target spaces. We propose that homogeneous YB deformations always lead to a certain class of $\beta$-twisted backgrounds and represent the bosonic part of the supergravity…

High Energy Physics - Theory · Physics 2017-09-20 Jun-ichi Sakamoto , Yuho Sakatani , Kentaroh Yoshida

Several years ago, it was proposed that the usual solutions of the Yang-Baxter equation associated to Lie groups can be deduced in a systematic way from four-dimensional gauge theory. In the present paper, we extend this picture, fill in…

High Energy Physics - Theory · Physics 2019-04-23 Kevin Costello , Edward Witten , Masahito Yamazaki

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate…

High Energy Physics - Theory · Physics 2009-02-10 Christian Hillmann

Based on the formulation of Yang-Baxter sigma models developed by Klimcik and Delduc-Magro-Vicedo, we explain that various deformations of type IIB superstring on AdS$_5\times$S$^5$ can be characterized by classical $r$-matrices satisfying…

High Energy Physics - Theory · Physics 2015-06-23 Takuya Matsumoto , Kentaroh Yoshida

We review the main ideas of arXiv:1106.4015: A change of field variables in the NSNS Lagrangian of ten-dimensional supergravity reveals the non-geometric Q-flux expressed in terms of an antisymmetric bivector field. After a simple…

High Energy Physics - Theory · Physics 2012-08-03 Peter Patalong

The coupling of matter to supergravity with $N=1$ supersymmetry in $d=4$ dimensions is described in a geometric manner by K\"ahler superspace. A straightforward way to implement K\"ahler superspace is via $\mathrm{U}(1)$ superspace by…

High Energy Physics - Theory · Physics 2020-05-20 Christian Hohl

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type…

High Energy Physics - Theory · Physics 2018-10-17 Ruben Minasian , Daniël Prins

We present further examples of the correspondence between solutions of type IIB supergravity and classical $r$-matrices satisfying the classical Yang-Baxter equation (CYBE). In the previous works, classical $r$-matrices have been composed…

High Energy Physics - Theory · Physics 2015-05-20 Takuya Matsumoto , Kentaroh Yoshida