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We consider possible superfield representations of extended BRST symmetry for general gauge theories within the principle of gauge-fixing based on a generating equation for the gauge functional. We examine admissible superfield choices for…

High Energy Physics - Theory · Physics 2009-11-07 P. M. Lavrov , P. Yu. Moshin

All consistent interactions in a three-dimensional theory with tensor gauge fields of degrees two and three are obtained by means of the deformation of the solution to the master equation combined with cohomological techniques. The local…

High Energy Physics - Theory · Physics 2009-11-10 S. O. Saliu

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. The superalgebra os0(1,2) is considered as subalgebra of sl(1,2); the latter may be considered as the algebra of…

High Energy Physics - Theory · Physics 2015-06-26 Bodo Geyer , Dietmar Mülsch

We consider the light-cone (LC) gauge and LC quantization of the dimensional reduction of super Yang Mills theory from four to two dimensions. After integrating out all unphysical degrees of freedom, the non-local LC Hamiltonian exhibits an…

High Energy Physics - Theory · Physics 2015-03-17 Daniele Dorigoni , Gabriele Veneziano , Jacek Wosiek

A general two-dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Applying the generators of the closed subalgebra generated by…

High Energy Physics - Theory · Physics 2009-01-07 Fardin Kheirandish , Mohammad Khorrami

The supersymmetric version of a topological quantum field theory describing flat connections, the super BF-theory, is studied in the superspace formalism. A set of observables related to topological invariants is derived from the curvature…

High Energy Physics - Theory · Physics 2008-11-26 Pirjo Pasanen

Light-cone gauge manifestly supersymmetric formulation of type IIB 10-dimensional supergravity in $AdS_5 \times S^5$ background is discussed. The formulation is given entirely in terms of light-cone scalar superfield, allowing us to treat…

High Energy Physics - Theory · Physics 2007-05-23 R. R. Metsaev

Recently it was proposed that the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure describes an M5-brane in a three-form flux background. In this paper we investigate the superalgebra associated with this theory. We derive the…

High Energy Physics - Theory · Physics 2010-05-12 Andrew M. Low

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

High Energy Physics - Theory · Physics 2009-10-28 E. Sokatchev

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose…

High Energy Physics - Theory · Physics 2023-10-10 Friedemann Brandt

Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In…

High Energy Physics - Theory · Physics 2015-06-26 S. Kojima , N. Sakai , Y. Tanii

In this paper we will analyse the anti-BRST symmetries of Bagger-Lambert-Gustavsson (BLG) theory in presence of a boundary. We will analyses these symmetries in both linear and non-linear gauges. We will also derive the finite field version…

High Energy Physics - Theory · Physics 2015-03-16 Mir Faizal , Sudhaker Upadhyay , Bhabani P. Mandal

We consider a gauged linear sigma model in two dimensions with Grassmann odd chiral superfields. We investigate the Konishi anomaly of this model and find out the condition for realization of superconformal symmetry on the world-sheet. When…

High Energy Physics - Theory · Physics 2008-11-26 Shigenori Seki , Katsuyuki Sugiyama , Tatsuya Tokunaga

In this paper the SIM(2) superspace formulation of the supersymmetric Yang-Mills gauge theory minimally coupled to chiral superfields is discussed. The super-Poincare invariant supersymmetric Yang-Mills theory is rewritten to SIM(2)…

High Energy Physics - Theory · Physics 2015-03-16 Jiří Vohánka

The Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a…

High Energy Physics - Theory · Physics 2009-12-10 Miguel A. Bandres , Arthur E. Lipstein , John H. Schwarz

In this paper we investigate three-dimensional superconformal gauge theories with N=3 supersymmetry. Independently from specific models, we derive the shortening conditions for unitary representations of the Osp(3|4) superalgebra and we…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo` , D. Fabbri , P. Fre` , P. Merlatti , A. Zaffaroni

We propose an off-shell construction of three-dimensional N = 3 and N = 4 superconformal Abelian Chern-Simons theories in the projective superspace formalism. We also construct coupling terms among the gauge fields and matter…

High Energy Physics - Theory · Physics 2012-05-29 Masato Arai , Shin Sasaki

A superfield version on superspace $(x^\mu,\theta^a)$ is proposed for the $Sp(2)$-- covariant Lagrangian quantization of general gauge theories. The BRST- and antiBRST- transformations are realized on superfields as supertranslations in the…

High Energy Physics - Theory · Physics 2009-10-28 P. M. Lavrov

We derive the non-linear action of E8(8) on the constrained chiral superfield in the light-cone superspace with eight complex Grassmann variables. We construct (to lowest order in the coupling) the sixteen dynamical supersymmetries which…

High Energy Physics - Theory · Physics 2008-11-26 Lars Brink , Sung-Soo Kim , Pierre Ramond