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In this paper, we study a new kind of vertex operator algebra related to the twisted Heisenberg-Virasoro algebra, which we call the twisted Heisenberg-Virasoro vertex operator algebra, and its modules. Specifically, we present some results…

Quantum Algebra · Mathematics 2016-12-22 Hongyan Guo , Qing Wang

We present example of exact solution to Witten's open bosonic string field theory. We will analyse the new BRST operator and we will argue that the new solution describes the flow from zero slope limit to the tensionless limit in the string…

High Energy Physics - Theory · Physics 2007-05-23 J. Kluson

The loop equations in the $U(N)$ lattice gauge theory are represented in the form of constraints imposed on a generating functional for the Wilson loop correlators. These constraints form a closed algebra with respect to commutation. This…

High Energy Physics - Theory · Physics 2009-10-28 K. Zarembo

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

High Energy Physics - Theory · Physics 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

We apply stochastic quantization method to Kostov's matrix-vector models for the second quantization of orientable strings with Chan-Paton like factors, including both open and closed strings. The Fokker-Planck hamiltonian deduces an…

High Energy Physics - Theory · Physics 2009-10-31 Daiji Ennyu , Hiroshi Kawabe , Naohito Nakazawa

We construct and fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analyzed from a string theory perspective as tools to deal with open/closed string dualities.

High Energy Physics - Theory · Physics 2008-11-26 Mauro Carfora , Claudio Dappiaggi , Valeria L. Gili

Some issues in the loop variable renormalization group approach to gauge invariant equations for the free fields of the open string are discussed. It had been shown in an earlier paper that this leads to a simple form of the gauge…

High Energy Physics - Theory · Physics 2010-11-01 B. Sathiapalan

We analyse the fusion of representations of the triplet algebra, the maximally extended symmetry algebra of the Virasoro algebra at c=-2. It is shown that there exists a finite number of representations which are closed under fusion. These…

High Energy Physics - Theory · Physics 2009-10-30 Matthias R. Gaberdiel , Horst G. Kausch

There are various reasons why adding stubs to the vertices of open string field theory (OSFT) is interesting: Not only the stubs can tame certain singularities and make the theory more well-behaved, but also the new theory shares a lot of…

High Energy Physics - Theory · Physics 2024-10-22 Martin Schnabl , Georg Stettinger

We introduce and study a new discrete basis of gravity constraints by making use of harmonic expansion for closed cosmological models. The full set of constraints is splitted into area-preserving spatial diffeomorphisms, forming closed…

High Energy Physics - Theory · Physics 2009-10-30 A. Yu. Kamenshchik , S. L. Lyakhovich

A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an abelian ideal. When the superalgebra is of affine Kac-Moody type, a generalisation of…

Mathematical Physics · Physics 2015-06-11 A. Babichenko , D. Ridout

The set of string vertices is extended to include moduli spaces with genus and numbers of ordinary and special punctures ranging over all integral values $g,n,\bar n\geq0$. It is argued that both the string background and the B-V delta…

High Energy Physics - Theory · Physics 2007-05-23 Sabbir Rahman

We construct a centerless W-infinity type of algebra in terms of a generator of a centerless Virasoro algebra and an abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or…

High Energy Physics - Theory · Physics 2009-10-22 H. Aratyn , L. A. Ferreira , J. F. Gomes , A. H. Zimerman

A new formalism for generation of solutions in the consistently truncated low-energy bosonic string theory is developed. This formalism gives a correspondence of the projection type between the theories toroidally compactified from the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Oleg V. Kechkin

The Wess-Zumino term of the spinning string is constructed in terms of their anomalies using an extended field-antifield formalism. A new feature appears from a fact that the non-anomalous transformations do not form a sub-group. The…

High Energy Physics - Theory · Physics 2009-10-30 J. Gomis , K. Kamimura , R. Kuriki

Some time ago we have introduced a route to provide confinement in the sense that particle excitations would appear from condensates of fields that do not have physical asymptotic states. We envisaged this mechanism in an asymmetric vacuum…

High Energy Physics - Theory · Physics 2023-06-21 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

We attempt a direct derivation of a conformal field theory description of 2D quantum gravity~+~matter from the formalism of integrable hierarchies subjected to Virasoro constraints. The construction is based on a generalization of the…

High Energy Physics - Theory · Physics 2010-12-01 A. M. Semikhatov

We construct new realizations of the Virasoro algebra inspired by the Calogero model. The Virasoro algebra we find acts as a kind of spectrum-generating algebra of the Calogero model. We furthermore present the superextension of these…

High Energy Physics - Theory · Physics 2015-06-26 E. Bergshoeff , M. Vasiliev

We study in detail the evaluation of the gauge invariant overlap for analytic solutions constructed out of elements in the $KBc$ algebra in open string field theory. We compute this gauge invariant observable using analytical and numerical…

High Energy Physics - Theory · Physics 2021-09-27 E. Aldo Arroyo

In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of…

High Energy Physics - Theory · Physics 2009-10-31 Mitsuo Abe , Noboru Nakanishi
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