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Recent advances in curved N=2 superspace methods have rendered the component reduction of superspace actions more feasible than in the past. In this paper, we consider models involving both vector and tensor multiplets coupled to…

High Energy Physics - Theory · Physics 2015-06-03 Daniel Butter , Joseph Novak

We construct non-Abelian N=2 on-shell vector multiplets in five and in four dimensions. Closing of the supersymmetry algebra imposes dynamical constraints on the fields, and these constraints should be interpreted as equations of motion. If…

High Energy Physics - Theory · Physics 2010-04-05 Jos Gheerardyn

The off-shell actions for $\cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1\leq {\cal N} \leq 6$ using a universal approach. Each action is generated by a closed super three-form which is…

High Energy Physics - Theory · Physics 2019-06-10 Evgeny I. Buchbinder , Daniel Hutchings , Jessica Hutomo , Sergei M. Kuzenko

We construct a new off-shell $\mathcal{N}{=}4$, $d{=}3$ nonlinear vector supermultiplet. The irreducibility constraints for the superfields leave in this supermultiplet the same component content as in the ordinary linear vector…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Krivonos , A. Shcherbakov

We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of…

High Energy Physics - Theory · Physics 2023-02-08 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We derive N = 1, 2 superfield equations as the conditions for a (nonlinear) theory of one abelian N = 1 or N = 2 vector multiplet to be duality invariant. The N = 1 super Born-Infeld action is a particular solution of the corresponding…

High Energy Physics - Theory · Physics 2009-10-31 Sergei M. Kuzenko , Stefan Theisen

In this paper we review the appearance and utility of a nilpotent chiral multiplet in the context of supergravity, string theory and cosmology. Coupling a nilpotent chiral superfield to supergravity, one obtains what is called pure dS…

High Energy Physics - Theory · Physics 2016-11-03 Marjorie Schillo , Ellen van der Woerd , Timm Wrase

The paper explores various special functions which generalize the two-parametric Mittag-Leffler type function of two variables. Integral representations for these functions in different domains of variation of arguments for certain values…

Functional Analysis · Mathematics 2017-05-17 Christian Lavault

The standard formulation of a massive Abelian vector field in $2+1$ dimensions involves a Maxwell kinetic term plus a Chern-Simons mass term; in its place we consider a Chern-Simons kinetic term plus a Stuekelberg mass term. In this latter…

High Energy Physics - Theory · Physics 2009-10-28 F. A. Dilkes , D. G. C. McKeon

In string theory compactifications it is common to find an effective Lagrangian for the scalar fields with a non-canonical kinetic term. We study the effective action of the scalar position moduli of Type II D$p$-branes. In many instances…

High Energy Physics - Theory · Physics 2016-06-07 Sjoerd Bielleman , Luis E. Ibanez , Francisco G. Pedro , Irene Valenzuela , Clemens Wieck

Projective superspace provides a natural framework for the construction of actions coupling hypermultiplets to conformal supergravity. We review how the off-shell actions are formulated in superspace and then discuss how to eliminate the…

High Energy Physics - Theory · Physics 2015-02-10 Daniel Butter

Nonlinear supersymmetry is used to compute the general form of the effective D-brane action in type I string theory compactified to four dimensions in the presence of internal magnetic fields. In particular, the scalar potential receives…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , J. P. Derendinger , T. Maillard

As is well known, the common elementary functions defined over the real numbers can be generalized to act not only over the complex number field but also over the skew (non-commuting) field of the quaternions. In this paper, we detail a…

Rings and Algebras · Mathematics 2015-04-09 James M. Chappell , Azhar Iqbal , Lachlan J. Gunn , Derek Abbott

We develop strong lower bounds for the span of the projective Stiefel manifolds $X_{n,r}=O(n)/(O(n-r)\times \mathbb Z/2)$, which enable very accurate (in many cases exact) estimates of the span. The technique, for the most part, involves…

Geometric Topology · Mathematics 2020-11-24 Yanghyun Byun , Julius Korbas , Peter Zvengrowski

T-Duality invariant worldsheet string actions, recently written down by Schwarz and Sen, are coupled to the worldsheet gauge fields. It is shown that the integration of the dual coordinates gives the conventional, vector, axial and chiral,…

High Energy Physics - Theory · Physics 2009-10-22 Alok Kumar

Different (not only by sign) affine connections are introduced for contravariant and covariant tensor fields over a differentiable manifold by means of a non-canonical contraction operator, defining the notion dual bases and commuting with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Manoff

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N=8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a…

High Energy Physics - Theory · Physics 2011-02-07 Nihat Sadik Deger , Henning Samtleben , Ozgur Sarioglu

This paper is mainly concerned with the construction of new off-shell higher spin N=1 supermultiplets in three spacetime dimensions. We elaborate on the gauge prepotentials and linearised super-Cotton tensors for higher spin N=1…

High Energy Physics - Theory · Physics 2016-11-28 Sergei M. Kuzenko , Mirian Tsulaia

We investigate integrable 2-dimensional Hamiltonian systems with scalar and vector potentials, admitting second invariants which are linear or quadratic in the momenta. In the case of a linear second invariant, we provide some examples of…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Giuseppe Pucacco , Kjell Rosquist

Gauge invariant complex covariant actions for superparticles are derived from the field equations for the chiral superfields in a precise manner. The massive and massless cases in four dimensions are treated both free and in interaction…

High Energy Physics - Theory · Physics 2009-10-28 R. Marnelius , Sh. M. Shvartsman
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