Results 61 to 70 of about 148 (137)

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

The index and certain stability of minimal anti invariant submanifolds in Sasakian and Kähler Manifolds

Tsukuba Journal of Mathematics, 2001
The author derives a formula for the index form associated to the volume of a compact orientable minimal submanifold \(P\) of a Sasakian manifold \(M\), where the submanifold \(P\) is assumed to be orthogonal to the structure vector field of \(M\). Using this formula, stability questions are investigated.
openaire   +2 more sources

Invariant, anti invariant and slant submanifolds of locally poly-norden manifolds

Boletim da Sociedade Paranaense de Matemática
In this paper, we study locally almost 3-poly-Norden manifolds and prove several properties of the curvature tensor and Ricci tensor of these manifolds. We investigate invariant, anti-invariant and slant submanifolds of almost 3-poly-Norden manifolds from various views. We characterize these submanifolds and give non-trivial examples.
Masoumeh Tofighi, Mohammad Bagher Kazemi Balgeshir   +1 more
openaire   +1 more source

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

Conformal η-Ricci soltons on anti-invariant submanifold of LP-Kenmotsu manifold endowed with the Zamkovoy connection

Filomat
The object of the present paper is to study anti-invariant submanifolds of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifold) with respect to the Zamkovoy connection. We prove that if an anti-invariant submanifold M of LP-Kenmotsu manifold contains a conformal Ricci soliton with collinear Reeb vector field, then M is η-Einstein.
Mandal, Abhijit, Yıldırım, Mustafa
openaire   +1 more source