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Starting from N=1 scalar and vector supermultiplets in 2+1 dimensions, we construct superfields which constitute Lagrangians invariant under N=2 supersymmetries. We first recover the N=2 supersymmetric Abelian-Higgs model and then the N=2…

High Energy Physics - Theory · Physics 2009-11-10 Jean Alexandre

We construct and classify superconformally covariant differential operators defined on N=2 super Riemann surfaces. By contrast to the N=1 theory, these operators give rise to partial rather than ordinary differential equations which leads…

solv-int · Physics 2009-10-30 F. Gieres , S. Gourmelen

A comprehensive symmetry analysis of the N=1 supersymmetric sine-Gordon equation is performed. Two different forms of the supersymmetric system are considered. We begin by studying a system of partial differential equations corresponding to…

Mathematical Physics · Physics 2009-09-15 A. M. Grundland , A. J. Hariton , L. Snobl

We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnetic) interactions. First, we employ the N=2 superfield…

High Energy Physics - Theory · Physics 2010-12-03 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action…

High Energy Physics - Theory · Physics 2009-10-31 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

In this paper we consider a strong-weak coupling duality of the N=2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N=2 SLFT, we claim, is associated with a `dual' action by a…

High Energy Physics - Theory · Physics 2009-11-07 Changrim Ahn , Chanju Kim , Chaiho Rim , M. Stanishkov

In this paper we introduce the $(n+2)$-dimensional Born-Infeld action with a dual field strength $\tilde{H}$. We compute the field equation by using Schur polynomials and give a soliton solution.

High Energy Physics - Theory · Physics 2007-05-23 Tatsuo Suzuki

Starting from nonlinear realizations of the partially broken central-charge extended N=4 and N=8 Poincar\'e supersymmetries in D=4, we derive the superfield equations of N=2 and N=4 Born-Infeld theories. The basic objects are the bosonic…

High Energy Physics - Theory · Physics 2009-10-31 S. Bellucci , E. Ivanov , S. Krivonos

The double tensor multiplet of D=4, N=2 supersymmetry, relevant to type IIB superstring vacua, is derived and its gauge invariant and N=2 supersymmetric interactions are analysed, both self-interactions and interactions with vector…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt

Worldsheet supersymmetric string action is written in duality invariant form for flat as well as curved backgrounds. First the action in flat backgrounds is written by introducing auxiliary fields. We also give the superfield form of this…

High Energy Physics - Theory · Physics 2011-07-19 Abbas Ali

We consider specific examples of $\mathcal{N}$ = 2 supersymmetric quantum mechanical models and list out all the novel symmetries. In each case, we show the existence of two sets of discrete symmetries that correspond to the Hodge duality…

High Energy Physics - Theory · Physics 2020-12-22 Aditi Pradeep , Anjali S , Binu M Nair , Saurabh Gupta

We study two-dimensional N=2 supersymmetric actions describing general models of scalar and vector multiplets coupled to supergravity.

High Energy Physics - Theory · Physics 2012-08-27 S. J. Gates, , M. T. Grisaru , M. E. Wehlau

In this paper, we study $\mathcal{N} =1$ supersymmetric theories in four dimensions in presence of a boundary. We demonstrate that it is possible to preserve half the supersymmetry of the original theory by suitably modifying it in presence…

High Energy Physics - Theory · Physics 2015-08-03 Mir Faizal , Adel Awad

Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a…

High Energy Physics - Theory · Physics 2007-05-23 Werner Nahm

With the help of M-theory configuration of N=1 supersymmetric QCD, we analyze the strong coupling moduli of N=1 theory and its relation with S-duality transformation in N=2 supersymmetric QCD. As a result we confirm that two type-IIA…

High Energy Physics - Theory · Physics 2008-02-03 Jun Furukawa

To the full order in fermions, we construct D=10 type II supersymmetric double field theory. We spell the precise N=2 supersymmetry transformation rules as for 32 supercharges. The constructed action unifies type IIA and IIB supergravities…

High Energy Physics - Theory · Physics 2013-05-27 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park , Yoonji Suh

We review and elaborate on some aspects of Born-Infeld action and its supersymmetric generalizations in connection with string theory. Contents: BI action from string theory; some properties of bosonic D=4 BI action; N=1 and N=2…

High Energy Physics - Theory · Physics 2016-11-23 A. A. Tseytlin

In this work, our main objective is to construct a N=2 supersymmetric extension of the nonrelativistic $(2+1)$-dimensional model describing the radiation damping on the noncommutative plane with scalar (electric) and vector (magnetic)…

High Energy Physics - Theory · Physics 2008-10-15 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira

D$p$-branes acquire effective nonlinear descriptions whose bosonic part is related to the Born-Infeld action. This nonlinearity has been proven to be a consequence of the partial ${\cal N}=2\to{\cal N}=1$ supersymmetry breaking, originating…

High Energy Physics - Theory · Physics 2022-09-23 Yangrui Hu , Konstantinos Koutrolikos

N=2 supersymmetric field theories in two dimensions have been extensively studied in the last few years. Many of their properties can be determined along the whole renormalization group flow, like their coupling dependence and soliton…

High Energy Physics - Theory · Physics 2007-05-23 Michele Bourdeau