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As part of program to quantize superstrings in AdS_5 x S^5 background in light cone approach we find the explicit form of the corresponding Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The resulting action is quadratic…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

A manifestly Poincare invariant formulations for $SO(1,10)$ and SO(2,9) superstring actions are proposed. The actions are invariant under a local fermionic $\kappa$-symmetry as well as under a number of global symmetries, which turn out to…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Deriglazov , D. M. Gitman

We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows us to…

High Energy Physics - Theory · Physics 2014-11-18 Radu Roiban , Warren Siegel

The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 supermembrane, is considered in the kappa-symmetry light-cone gauge, in which the light-like directions are…

High Energy Physics - Theory · Physics 2012-03-15 D. V. Uvarov

The kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background is treated canonically in a version of the light-cone gauge. After reviewing the generalized light-cone gauge for a bosonic sigma model, we present the Hamiltonian…

High Energy Physics - Theory · Physics 2008-11-26 H. Itoyama , T. Oota

For the \kappa-symmetry gauge fixed superstring action in AdS_5 x S^5 we consider the fermionic fluctuations over a circular bosonic string background with two angular momenta and two winding numbers in S^5. The SU(2)-type redefinitions of…

High Energy Physics - Theory · Physics 2010-02-03 Shijong Ryang

Motivated by the isomorphism between osp(4|6) superalgebra and D=3 N=6 superconformal algebra we consider the superstring action on the AdS_4 x CP^3 background parametrized by D=3 N=6 super-Poincare and CP^3 coordinates supplemented by the…

High Energy Physics - Theory · Physics 2011-02-03 D. V. Uvarov

By making an appropriate choice for gauge fixing kappa-symmetry we obtain a relatively simple form of the actions for a D=11 superparticle in AdS(4) x S(7)/Z_k, and for a D0-brane, fundamental string and D2-branes in the AdS(4) x CP(3)…

High Energy Physics - Theory · Physics 2010-12-17 Pietro Antonio Grassi , Dmitri Sorokin , Linus Wulff

We present a new auxiliary field representation for the four-fermi term of the gauge-fixed Green-Schwarz superstring action which describes fluctuations around the null-cusp background in $AdS_5\times S^5$. We sketch the main features of…

High Energy Physics - Lattice · Physics 2017-02-08 Valentina Forini , Lorenzo Bianchi , Bjoern Leder , Philipp Toepfer , Edoardo Vescovi

We propose an action for a sine-Gordon-like theory, which reproduces the classical equations of motion of the Green-Schwarz-Metsaev-Tseytlin superstring on AdS(5) x S(5). The action is relativistically invariant. It is a mass-deformed…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Mikhailov , Sakura Schafer-Nameki

We present a supersymmetric and $\kappa$-symmetric D-string action on $AdS_5 \times S^5$ in supercoset construction. As in the previous work of the super D-string action in the flat background, the super D-string action on $AdS_5 \times…

High Energy Physics - Theory · Physics 2009-10-31 Ichiro Oda

We propose modified action which is equivalent to N=1 Green-Schwarz superstring and which allows one to realize the supplementation trick [26]. Fermionic first and second class constraints are covariantly separated, the first class…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Deriglazov

To construct actions for describing superbranes propagating in AdS x S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to the sixth power in…

High Energy Physics - Theory · Physics 2009-10-31 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We discuss light-cone gauge description of type IIB Green-Schwarz superstring in AdS_5 x S^5 with a hope to make progress towards understanding spectrum of this theory. As in flat space, fixing light cone gauge consists of two steps: (i)…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We construct the covariant kappa-symmetric superstring action for a type IIB superstring on AdS_5 x S^5 background. The action is defined as a 2d sigma-model on the coset superspace SU(2,2|4) / SO(4,1) x SO(5) and is shown to be the unique…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

We explore integrability properties of superstring equations of motion in AdS_5 x S^5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding Hamiltonian dynamics on…

High Energy Physics - Theory · Physics 2009-11-11 L. F. Alday , G. Arutyunov , A. A. Tseytlin

We suggest a D=11 super Poincar\'e invariant action for the superstring which has free dynamics in the physical variables sector. Instead of the standard approach based on the searching for an action with local $\kappa$-symmetry (or,…

High Energy Physics - Theory · Physics 2016-09-06 A. A. Deriglazov , A. V. Galajinsky

We construct an Anti-de Sitter(AdS) algebra in a nondegenerate superspace. Based on this algebra we construct a covariant kappa-symmetric superstring action, and we examine its dynamics: Although this action reduces to the usual…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Makoto Sakaguchi

A non standard super extensions of the Poincare algebra (S-algebra [1,2]), which seems to be relevant for construction of various D=11 models, are studied. We present two examples of actions for point-like dynamical systems, which are…

High Energy Physics - Theory · Physics 2014-11-18 A. A. Deriglazov , D. M. Gitman

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Uvarov
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