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There is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that $a$ cannot change but does not say anything about $c$. In supersymmetric…

高能物理 - 理论 · 物理学 2017-08-02 Yu Nakayama

We discuss fermionic reductions of type IIA superstrings on AdS4 x CP3 in relation to the conjectured AdS4/CFT3 duality. The superstring theory is described by means of a coset model construction, which is classically integrable. We discuss…

高能物理 - 理论 · 物理学 2009-08-28 Marcin Dukalski , Stijn J. van Tongeren

The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A detailed analysis of…

数学物理 · 物理学 2015-06-18 Sébastien Bertrand , Alfred M. Grundland , Alexander J. Hariton

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…

高能物理 - 理论 · 物理学 2009-11-11 L. F. Alday , G. Arutyunov , A. A. Tseytlin

Recently it was proposed that matching of global charges induced in vacuum by slowly varying, topologically non-trivial scalar fields provides consistency conditions analogous to the 't Hooft anomaly matching conditions. We study matching…

高能物理 - 理论 · 物理学 2009-10-31 S. L. Dubovsky , D. S. Gorbunov

Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger-Keldysh…

高能物理 - 理论 · 物理学 2020-01-28 Boris L. Altshuler

The exactly solvable BCS Hamiltonian of superconductivity is considered from several viewpoints: Richardson's ansatz, conformal field theory, integrable inhomogenous vertex models and Chern-Simons theory.

高能物理 - 理论 · 物理学 2015-07-27 G. Sierra

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the…

高能物理 - 理论 · 物理学 2017-05-15 Linus Wulff

By adapting previously known arguments concerning Ricci flow and the c-theorem, we give a direct proof that in a two-dimensional sigma-model with compact target space, scale invariance implies conformal invariance in perturbation theory.…

高能物理 - 理论 · 物理学 2024-05-24 Georgios Papadopoulos , Edward Witten

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

微分几何 · 数学 2007-05-23 Tosiaki Kori

We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a $\mathcal{N}=2$ large $N$ Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random…

高能物理 - 理论 · 物理学 2021-12-22 Chi-Ming Chang , Sean Colin-Ellerin , Cheng Peng , Mukund Rangamani

We describe how Neumann and Neumann-Rosochatius type integrable systems, as well as the continuous limit of the SU(2) integrable spin chain, can be obtained from membranes on AdS_4 x S^7 background, in the framework of AdS/CFT…

高能物理 - 理论 · 物理学 2008-11-26 P. Bozhilov

The purpose of this work is to present some basic concepts about the non-linear sigma model in a simple and direct way. We start with showing the bosonic model and the Wess-Zumino-Witten term, making some comments about its topological…

高能物理 - 理论 · 物理学 2009-09-25 Breno C. O. Imbiriba

We review the duality and integrability of N=6 superconformal Chern-Simons theory in three dimensions and IIA superstring theory on the background AdS4xCP3. We introduce both of these models and describe how their degrees of freedom are…

高能物理 - 理论 · 物理学 2015-05-20 Thomas Klose

We show that the background field method applied to supergravity in adS space-time provides the path integral for the theory in the bulk with conformal symmetry associated with the isometry of the adS space. This in turn allows to establish…

高能物理 - 理论 · 物理学 2009-10-31 Renata Kallosh , Antoine Van Proeyen

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

高能物理 - 理论 · 物理学 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the…

高能物理 - 理论 · 物理学 2011-06-14 B. Chandrasekhar , Binata Panda

Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate…

高能物理 - 理论 · 物理学 2016-05-04 Alessandra Cagnazzo , Volker Schomerus , Vaclav Tlapak

We study the duality between string theory on AdS_3 X S^3 X S^3 and two-dimensional conformal theories with large N=4 superconformal algebra A_gamma. We discuss configurations of intersecting branes which give rise to such near-horizon…

高能物理 - 理论 · 物理学 2009-02-23 Jan de Boer , Andrea Pasquinucci , Kostas Skenderis

The Abelian super Stueckelberg model (ASSM) in the Wess--Zumino (WZ) gauge is revisited, and the actual set of supersymmetric (SUSY) transformation is derived. In particular, we verified that the SUSY transformation of the super…

高能物理 - 理论 · 物理学 2026-01-28 M. A. L. Capri , D. R. Granado , I. F. Justo , L. S. S. Mendes