Aspects of the gauged, twisted, SL(2|1)/SL(2|1) Wess-Zumino-Novikov-Witten model [PDF]
In this thesis we examine some of the interesting aspects of the Wess-Zumino- Novikov-Witten model when this model has been gauged and its energy tensor twisted by the addition of the derivative of one of its Cartan subalgebra valued currents ...
Koktava, Rachel-Louise Kvertus +1 more
core
Symmetries in the Hamiltonian Formulation of String Theory
In the context of the Hamiltonian formulation of string theory, a widely acknowledged issue is the inability of the first‐class constraints to accurately reproduce the Lagrangian symmetry transformations. We take a critical look at the Hamiltonian formulation of the Polyakov string and demonstrate, using Castellani′s procedure, that diffeomorphism and ...
Héctor A. Benítez +2 more
wiley +1 more source
The structures and representations for the Schrödinger-Virasoro algebra and its related algebras [PDF]
众所周知, Virasoro代数在数学和物理学的许多分支上有着重要的应用,因此得到了许多数学家 和物理学家的 广泛而深刻的研究. 近年来,包含Virasoro代数作为子代数的许多李代数相继被发现, Schr\"{o}dinger-Virasoro代数就是其中之一. Schr\"{o}dinger-Virasoro代数$\mathfrak{sv}$是M.Henkel在研究(1+1)维自由 Schr\"{o}dinger方程$(2\mathcal{M}\partial_t-\partial_r^{2 ...
张秀福
core
Tensor categories of weight modules of sl̂2$\widehat{\mathfrak {sl}}_2$ at admissible level
Abstract The category of weight modules Lk(sl2)-wtmod$L_{k}(\mathfrak {sl}_2)\operatorname{-wtmod}$ of the simple affine vertex algebra of sl2$\mathfrak {sl}_2$ at an admissible level k$k$ is neither finite nor semisimple and modules are usually not lower‐bounded and have infinite‐dimensional conformal weight subspaces.
Thomas Creutzig
wiley +1 more source
Open String Renormalization Group Flow as a Field Theory
Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley +1 more source
Virasoro Correlation Functions for Vertex Operator Algebras
We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms of graph theory ...
Hurley, Donny, Tuite, Michael P.
core +1 more source
Airy structures and deformations of curves in surfaces
Abstract An embedded curve in a symplectic surface Σ⊂X$\Sigma \subset X$ defines a smooth deformation space B$\mathcal {B}$ of nearby embedded curves. A key idea of Kontsevich and Soibelman is to equip the symplectic surface X$X$ with a foliation in order to study the deformation space B$\mathcal {B}$.
W. Chaimanowong +3 more
wiley +1 more source
The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries
This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in understanding,
Claude Roger +3 more
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Structures of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras
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 groups and the second cohomology groups of these Lie superalgebras.
Li, Juanjuan, Fan, Guangzhe
openaire +2 more sources
Jet modules for the centerless Virasoro-like algebra
In this paper, we studied the jet modules for the centerless Virasoro-like algebra which is the Lie algebra of the Lie group of the area-preserving diffeomorphisms of a [Formula: see text]-torus.
Genqiang Liu, Xiangqian Guo
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