Results 61 to 70 of about 203 (155)

Comments on the RG‐Flow in Open String Field Theory

Fortschritte der Physik, Volume 73, Issue 12, December 2025.
Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Global eigenfamilies on closed manifolds

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley   +1 more source

Birational complexity and dual complexes

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We introduce the notion of birational complexity of a log Calabi–Yau pair. This invariant measures how far the log Calabi–Yau pair is from being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.
Mirko Mauri, Joaquín Moraga
wiley   +1 more source

Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds [PDF]

, 2017
Shyamal Kumar Hui, Joydeb Roy
openalex   +2 more sources

On certain anti-invariant submanifolds of an S-manifold

, 2018
In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.
Cabrerizo Jaraíz, José Luis, Fernández Fernández, Luis Manuel   +1 more
openaire   +2 more sources

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection

Journal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗). Next, we study Einstein soliton on anti-invariant submanifold of LP-Kenmotsu manifold with respect to Zamkovoy connection.
Mandal, Abhijit, Mallik, Meghlal
openaire   +2 more sources

Lagrangian Fibrations. [PDF]

Milan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

Perverse schobers and Orlov equivalences. [PDF]

Eur J Math, 2023
Koseki N, Ouchi G.
europepmc   +1 more source