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We investigate some peculiarities in the calculation of the two-loop beta-function of $N=1$ supersymmetric models which are intimately related to the so-called "Anomaly Puzzle". There is an apparent paradox when the computation is performed…

High Energy Physics - Theory · Physics 2016-01-29 A. L. Cherchiglia , Marcos Sampaio , B. Hiller , A. P. Baêta Scarpelli

A modification of the usual extended N = 2 supersymmetry algebra implementing the two dimensional permutation group is performed. It is shown that one can found a multiplet that forms an off-shell realization of this alternative extension…

High Energy Physics - Theory · Physics 2013-10-25 Nazim Djeghloul , Mohamed Tahiri

A two-form formulation for the N=2 vector-tensor multiplet is constructed using superfield methods in central charge superspace. The N=2 non-Abelian standard supergauge multiplet in central charge superspace is also discussed, as is with…

High Energy Physics - Theory · Physics 2009-10-30 Ioseph Buchbinder , Ahmed Hindawi , Burt A. Ovrut

We present, in the N=2, D=4 harmonic superspace formalism, a general method for constructing the off-shell effective action of an N=2 abelian gauge superfield coupled to matter hypermultiplets. Using manifestly N=2 supersymmetric harmonic…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , E. I. Buchbinder , E. A. Ivanov , S. M. Kuzenko , B. A. Ovrut

Four-dimensional N-extended superconformal symmetry and correlation functions of quasi-primary superfields are studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

We present a closed-form expression for the supersymmetric non-Abelian Chern-Simons action in conventional five-dimensional N=1 superspace. Our construction makes use of the superform formalism to generate supersymmetric invariants. Similar…

High Energy Physics - Theory · Physics 2014-02-26 Sergei M. Kuzenko , Joseph Novak

We computed the actions for the 1D N=5 sigma-models with respect to the two inequivalent (2,8,6) multiplets. 4 supersymmetry generators are manifest, while the constraint originated by imposing the 5-th supersymmetry automatically induces a…

High Energy Physics - Theory · Physics 2009-09-25 M. Gonzales , M. Rojas , F. Toppan

Starting from N=1 scalar supermultiplets in 2+1 dimensions, we build explicitly the composite superpartners which define a N=2 superalgebra induced by the initial N=1 supersymmetry. The occurrence of this extension is linked to the…

High Energy Physics - Theory · Physics 2009-11-07 J. Alexandre , N. E. Mavromatos , Sarben Sarkar

We present a superconformal tensor calculus for an arbitrary number of five dimensional N=2 linear multiplets. We also demonstrate how to construct higher derivative invariants and higher order supersymmetric off-diagonal models. Finally,…

High Energy Physics - Theory · Physics 2016-11-29 Mehmet Ozkan

Non-Abelian fractional supersymmetry algebra in two dimensions is introduced utilizing $U_q(sl(2,\Rcc))$ at roots of unity. Its representations and the matrix elements are obtained. The dual of it is constructed and the corepresentations…

Quantum Algebra · Mathematics 2009-10-31 H. Ahmedov , O. F. Dayi

We identify new families of duality-invariant theories of electrodynamics. We achieve this in two different ways. On the one hand, we present an algorithm to construct a one-parameter family of exactly duality-invariant theories from a…

High Energy Physics - Theory · Physics 2025-11-11 Ángel J. Murcia

We show in (1+2) dimensions that supersymmetric (SUSY) BF action for a (minimal and off-shell) spin-(1,3/2) supermultiplet is a unique SUSY invariant one required from the closure property of commutator algebra for SUSY transformations.

High Energy Physics - Theory · Physics 2011-07-29 Kazunari Shima , Motomu Tsuda

We construct new models of `curved' SU$(4|1)$ supersymmetric mechanics based on two versions of the off-shell multiplet ${\bf(8,8,0)}$ which are `mirror' to each other. The worldline realizations of the supergroup SU$(4|1)$ are treated as a…

High Energy Physics - Theory · Physics 2018-09-26 Evgeny Ivanov , Olaf Lechtenfeld , Stepan Sidorov

We focus on the superfield formulation for a N = 2 vector supermultiplet in two dimensional spacetime and explicitly show that the Wess-Zumino gauge condition for a N = 2 superfield is compatible with familiar SUSY (plus U(1) gauge)…

High Energy Physics - Theory · Physics 2008-11-26 Kazunari Shima , Motomu Tsuda

We demonstrate that two-dimensional N=8 supersymmetric quantum mechanics which inherits the most interesting properties of $N=2, d=4$ SYM can be constructed if the reduction to one dimension is performed in terms of the basic object, i.e.…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci , S. Krivonos , A. Nersessian , A. Shcherbakov

We present a self-dual non-Abelian N=1 supersymmetric tensor multiplet in D=2+2 space-time dimensions. Our system has three on-shell multiplets: (i) The usual non-Abelian Yang-Mills multiplet (A_\mu{}^I, \lambda{}^I) (ii) A non-Abelian…

High Energy Physics - Theory · Physics 2012-06-28 Hitoshi Nishino , Subhash Rajpoot

We investigate duality properties of N-form fields, provide a symmetric way of coupling them to electric/magnetic sources, and check that these charges obey the appropriate quantization requirements. First, we contrast the D=4k case, in…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Gomberoff , M. Henneaux , C. Teitelboim

We constrain the spectrum of $\mathcal{N}=(1, 1)$ and $\mathcal{N}=(2, 2)$ superconformal field theories in two-dimensions by requiring the NS-NS sector partition function to be invariant under the $\Gamma_\theta$ congruence subgroup of the…

High Energy Physics - Theory · Physics 2019-02-20 Jin-Beom Bae , Sungjay Lee , Jaewon Song

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin

Higher genus partition functions of two-dimensional conformal field theories have to be invariants under linear actions of mapping class groups. We illustrate recent results [4,6] on the construction of such invariants by concrete…

High Energy Physics - Theory · Physics 2013-02-20 Jens Fjelstad , Jurgen Fuchs , Christoph Schweigert , Carl Stigner