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Related papers: The Berkovits-Vafa Construction and Nonlinear Real…

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Possible ways of constructing extended fermionic strings with $N=4$ world-sheet supersymmetry are reviewed. String theory constraints form, in general, a non-linear quasi(super)conformal algebra, and can have conformal dimensions $\geq 1$.…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov

We give brief ideas on building gauge models in superstring theory, especially the four-dimensional models obtained from the compactification of F-theory. According to Vafa, we discuss the construction of F-theory to approach…

High Energy Physics - Theory · Physics 2010-01-05 Adil Belhaj , Leila Medari

A random matrix model definition of a family of ${\cal N}{=}1$ supersymmetric extensions of the Virasoro minimal string of Collier, Eberhardt, M\"{u}hlmann, and Rodriguez is presented. An analysis of the defining string equations shows that…

High Energy Physics - Theory · Physics 2025-05-19 Clifford V. Johnson

We discuss some basic aspects of effective field theory applied to supergravity theories which arise in the low-energy limit of string theory. Our discussion is particularly relevant to the effective field theories of no-scale…

High Energy Physics - Theory · Physics 2021-06-16 Shamit Kachru , Sandip Trivedi

We derive properties of N-extended GR super Virasoro algebras. These include adding central extensions, identification of all primary fields and the action of the adjoint representation on its dual. The final result suggest identification…

High Energy Physics - Theory · Physics 2008-11-26 C. Curto , S. J. Gates , V. G. J. Rodgers

Supersymmetric field theories possess a rich structure in their supercurrent supermultiplets. Some symmetries are manifest in one supercurrent supermultiplet but not in the others; for instance, R-symmetry is manifest in the R-multiplet but…

High Energy Physics - Theory · Physics 2014-11-18 Yu Nakayama

It is known that the Takahashi--Tanimoto identity-based solution in open string field theory derives a kinetic operator which is a sum of twisted Virasoro generators. Applying the infinite circumstance description of conformal field theory,…

High Energy Physics - Theory · Physics 2019-10-11 Syoji Zeze

This paper is devoted to investigating the structure theory of a class of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we completely determine the derivation algebras, the automorphism…

Rings and Algebras · Mathematics 2016-07-19 Juanjuan Li , Guangzhe Fan

Motivated by recent progress on the correspondence between string theory on anti-de Sitter space and conformal field theory, we address the question of constructing space-time N extended superconformal algebras on the boundary of AdS_3.…

High Energy Physics - Theory · Physics 2014-11-18 Jorgen Rasmussen

In the paper the nilpotent conditions of BRST operator for new superconformal string model were found. This string includes anticommutation $2-d$ fields additional to the standard Neveu-Schwarz superconformal set which carry quark quantum…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Kudryavtsev

The equation of motion for Berkovits' WZW-like open (super)string field theory is shown to be integrable in the sense that it can be written as the compatibility condition ("zero-curvature condition") of some linear equations. Employing a…

High Energy Physics - Theory · Physics 2016-09-06 Olaf Lechtenfeld , Alexander D. Popov , Sebastian Uhlmann

String geometry theory is one of the candidates of the non-perturbative formulation of superstring theory. In this paper, in string geometry theory, we identify perturbative heterotic vacua, which include general heterotic backgrounds. From…

High Energy Physics - Theory · Physics 2025-11-06 Koichi Nagasaki , Matsuo Sato

We construct actions for non-relativistic strings and membranes purely as Wess-Zumino terms of the underlying Galilei groups.

High Energy Physics - Theory · Physics 2009-11-10 Jan Brugues , Thomas Curtright , Joaquim Gomis , Luca Mezincescu

This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent…

High Energy Physics - Theory · Physics 2007-05-23 Frank Ferrari

Virasoro constraint is the operator algebra version of one-loop equation for a Hermitian one-matrix model, and it plays an important role in solving the model. We construct the realization of the Virasoro constraint from the Conformal Field…

Mathematical Physics · Physics 2014-09-29 Xiang-Mao Ding , Yuping Li , Lingxian Meng

A supersymmetric version of the Virasoro minimal string was defined some time ago using random matrix model techniques. Several of the special properties of the matrix model that were noted (accessible fully non-perturbatively) underlie…

High Energy Physics - Theory · Physics 2025-06-25 Clifford V. Johnson

We realize bosonic string theory with ensembles of infinite width neural networks. The string tension is tuned by the variance of the output weights. The construction provides a new computation of the foundational Virasoro-Shapiro and…

High Energy Physics - Theory · Physics 2026-01-13 Samuel Frank , James Halverson

We obtain complete classification of in-equivalent realizations of the Virasoro algebra by Lie vector fields over the three-dimensional field of real numbers. As an application we construct new classes of nonlinear second-order partial…

Exactly Solvable and Integrable Systems · Physics 2013-10-11 Renat Zhdanov , Qing Huang

In this work we derive two important tools for working in the \kappa basis of string field theory. First we give an analytical expression for the finite part of the spectral density \rho_{fin}. This expression is relevant when both matter…

High Energy Physics - Theory · Physics 2007-05-23 Ehud Fuchs , Michael Kroyter , Alon Marcus

It is known that there are two inequivalent $\mathbb{Z}_2^2$-graded $osp(1|2)$ Lie superalgebras. Their affine extensions are investigated and it is shown that one of them admits two central elements, one is non-graded and the other is…

Mathematical Physics · Physics 2026-05-22 N. Aizawa , J. Segar