Results 61 to 70 of about 233,734 (178)

From the conformal anomaly to the Virasoro algebra

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley   +1 more source

On constraints of the (β-deformed) partition functions with W-representations

Physics Letters B
We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles).
Yu-Sen Zhu, Ren Cuo Ji, Min-Li Li, Rui Wang   +3 more
doaj   +1 more source

Symmetries in the Hamiltonian Formulation of String Theory

Advances in High Energy Physics, Volume 2025, Issue 1, 2025.
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, René Negrón, Xiao Yan Chew   +2 more
wiley   +1 more source

Infinite $\mathrm{T\bar T}$-like symmetries of compactified LST

SciPost Physics
We show that the three-dimensional asymptotically linear dilaton background that arises in the near-horizon decoupling region of NS5-branes compactified on $T^4$ admits boundary conditions that lead to an infinite set of symmetries.
Silvia Georgescu, Monica Guica
doaj   +1 more source

Black hole entropy and soft hair

Journal of High Energy Physics, 2018
A set of infinitesimal Virasoro L ⊗ Virasoro R diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J.
Sasha Haco, Stephen W. Hawking, Malcolm J. Perry, Andrew Strominger   +3 more
doaj   +1 more source

Tensor categories of weight modules of sl̂2$\widehat{\mathfrak {sl}}_2$ at admissible level

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
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

Classification of simple weight Virasoro modules with a finite-dimensional weight space

, 2007
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all non-trivial weight spaces of such module are infinite-dimensional. As a corollary
Zhao, Kaiming, Mazorchuk, Volodymyr,
core   +1 more source

From CFT to Ramond super-quantum curves

Journal of High Energy Physics, 2018
As we have shown in the previous work, using the formalism of matrix and eigenvalue models, to a given classical algebraic curve one can associate an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a ...
Pawel Ciosmak, Leszek Hadasz, Zbigniew Jaskólski, Masahide Manabe, Piotr Sulkowski   +4 more
doaj   +1 more source

Open String Renormalization Group Flow as a Field Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
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

Airy structures and deformations of curves in surfaces

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
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, P. Norbury, M. Swaddle, M. Tavakol   +3 more
wiley   +1 more source