Results 141 to 150 of about 1,726,917 (225)
On Chern-Simons Matrix Models [PDF]
arXiv, 2006 The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert ...
arxiv
Cosmological time and the constants of nature
Physics Letters B, 2021 We propose that cosmological time is effectively the conjugate of the constants of nature. Different definitions of time arise, with the most relevant related to the constant controlling the dynamics in each epoch. The Hamiltonian constraint then becomes
João Magueijo
doaj
Quasi-Kähler manifolds with trivial Chern Holonomy [PDF]
Math. Z. 271 (2012), no. 1-2, 95-108, 2008 In this paper we study almost complex manifolds admitting a quasi-K\"ahler Chern-flat metric (Chern-flat means that the holonomy of the Chern connection is trivial). We prove that in the compact case such manifolds are all nilmanifolds. Some partial classification results are established and we prove that a quasi-K\"ahler Chern-flat structure can be ...
arxiv
Chern class of Schubert cells in the flag manifold and related algebras [PDF]
arXiv, 2016 We discuss a relationship between Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds, Fomin-Kirillov algebra, and the generalized nil-Hecke algebra. We show that nonnegativity conjecture in Fomin-Kirillov algebra implies the nonnegativity of the Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds for type A ...
arxiv
Generalized Chern-Simons action principles for gravity [PDF]
arXiv, 2015 Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field equations when the connections are flat. Generalized Chern-Simons action principles with Einstein's equations as Euler-Lagrange equations are constructed by using these ...
arxiv
Chern connection of a pseudo-Finsler metric as a family of affine connections [PDF]
arXiv, 2013 We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M,L)$ as a linear connection $\nabla^V$ on any open subset $\Omega\subset M$ associated to any vector field $V$ on $\Omega$ which is non-zero everywhere. This connection is torsion-free and almost metric compatible with respect to the fundamental tensor $g$.
arxiv
A comment on metric vs metric-affine gravity
Physics Letters B, 2023 We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension D≥4. All curvatures are functions of independent affine (torsionless) connections only.
Ulf Lindström, Özgür Sarıoğlu
doaj
Narain CFTs from quantum codes and their $${\mathbb{Z}}_{2}$$ gauging
Journal of High Energy PhysicsWe investigate the gauging of a $${\mathbb{Z}}_{2}$$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $${\mathbb{Z}}_{2}$$ gauging ...
Kohki Kawabata +2 more
doaj +1 more source
Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character [PDF]
arXiv, 2007 In this paper, we give a quantum interpretation of the Bismut-Chern character form (the loop space lifting of the Chern character form) as well as the Chern character form associated to a complex vector bundle with connection over a smooth manifold in the framework of supersymmetric quantum field theories developed by Stolz and Teichner \cite{ST07}. We
arxiv