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Algebraic structures of N = (4; 4) and N = (8; 8) supersymmetric (SUSY) two dimensional sigma models on Lie groups (in general) and SUSY Wess-Zumino-Witten (WZW) models (as special) are obtained. For SUSY WZW models, these algebraic…

High Energy Physics - Theory · Physics 2014-10-08 M. Aali-Javanangrouh , A. Rezaei-Aghdam

All N=4 conformal supergravities in four space-time dimensions are constructed. These are the only N=4 supergravity theories whose actions are invariant under off-shell supersymmetry. They are encoded in terms of a holomorphic function that…

High Energy Physics - Theory · Physics 2017-10-31 Daniel Butter , Franz Ciceri , Bernard de Wit , Bindusar Sahoo

The field identification problem, including fixed point resolution, is solved for the non-hermitian symmetric $N=2$ superconformal coset theories. Thereby these models are finally identified as well-defined modular invariant CFTs. As an…

High Energy Physics - Theory · Physics 2010-11-01 Jürgen Fuchs , Christoph Schweigert

We solve the Wess-Zumino consistency conditions of $\mathcal{N}=1$ off-shell conformal supergravity in four dimensions and determine the general form of the superconformal anomalies for arbitrary $a$ and $c$ anomaly coefficients to leading…

High Energy Physics - Theory · Physics 2019-05-07 Ioannis Papadimitriou

We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in the RNS formalism, around vacuum configurations with open unoriented strings, preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward…

High Energy Physics - Theory · Physics 2016-03-16 Massimo Bianchi , Dario Consoli

We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n,2m|2n) for all m,n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N=4…

High Energy Physics - Theory · Physics 2016-01-27 Reza Doobary , Paul Heslop

We present an algebraic approach to string theory. An embedding of $sl(2|1)$ in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of the super Lie algebra. Chirally gauging this subalgebra in…

High Energy Physics - Theory · Physics 2009-10-28 E. Ragoucy , A. Sevrin , P. Sorba

We show that the BRST structure of the topological string is encoded in the ``small'' $N=4$ superconformal algebra, enabling us to obtain, in a non-trivial way, the string theory from hamiltonian reduction of $A(1|1)$. This leads to the…

High Energy Physics - Theory · Physics 2009-10-28 K. Landsteiner , W. Lerche , A. Sevrin

We show by explicit construction the existence of various four dimensional models of type II superstrings with N=2 supersymmetry, purely vector multiplet spectrum and no hypermultiplets. Among these, two are of special interest, at the…

High Energy Physics - Theory · Physics 2009-12-10 Yacine Dolivet , Bernard Julia , Costas Kounnas

We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I, as well as the corresponding component results,…

High Energy Physics - Theory · Physics 2009-10-30 Sergei V. Ketov , Christine Unkmeir , Sven-Olaf Moch

In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a…

High Energy Physics - Theory · Physics 2009-02-16 Jonas Bjornsson , Stephen Hwang

In this paper we obtain supersymmetric brane-like configurations in the vacuum of N=4 gauged $SU(2)\times SU(2)$ supergravity theory in four spacetime dimensions. Almost all of these vacuum solutions preserve either half or one quarter of…

High Energy Physics - Theory · Physics 2009-10-31 Harvendra Singh

We present a derivation of the N=1 and N=2 superconformal coset constructions starting from a supersymmetric WZW model where a diagonal subgroup has been gauged. We work in the general framework of self-dual (not necessarily reductive) Lie…

High Energy Physics - Theory · Physics 2008-02-03 Jose M Figueroa-O'Farrill , Sonia Stanciu

We study compactifications of type IIA supergravity on cosets exhibiting SU(3) structure. We establish the consistency of the truncation based on left-invariance, providing a justification for the choice of expansion forms which yields…

High Energy Physics - Theory · Physics 2014-11-18 Davide Cassani , Amir-Kian Kashani-Poor

Using exact boundary conformal field theory methods we analyze the D-brane physics of a specific four-dimensional non-critical superstring theory which involves the N=2 SL(2)/U(1) Kazama-Suzuki model at level 1. Via the holographic duality…

High Energy Physics - Theory · Physics 2009-11-11 Angelos Fotopoulos , Vasilis Niarchos , Nikolaos Prezas

An extended free fermionic construction of the internal N=1 world sheet supercurrent for four-dimensional superstring theory is given. We show how it can describe theories with massless fermions, and we discuss the corresponding N=2…

High Energy Physics - Theory · Physics 2015-06-26 David M. Pierce

As shown by Witten the N=1 supersymmetric gauged WZW model based on a group G has an extended N=2 supersymmetry if the gauged subgroup H is so chosen that G/H is Kahler. We extend Witten's result and prove that the N=1 supersymmetric gauged…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin

We construct the manifestly N=4 supersymmetric off-shell superfield "master" action for any number n of the N=4 supermultiplets (4, 4, 0) described by harmonic analytic superfields q^{+a}(\zeta, u), a= 1, ... 2n, subjected to the most…

High Energy Physics - Theory · Physics 2015-05-28 F. Delduc , E. Ivanov

We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , P. van Nieuwenhuizen

We review the construction of extended ( N=2 and N=4 ) superconformal algebras over triple systems and the gauged WZW models invariant under them. The N=2 superconformal algebras (SCA) realized over Freudenthal triple systems (FTS) admit…

High Energy Physics - Theory · Physics 2015-06-26 Murat Gunaydin