We consider two proposals for defining black hole entropy in spherical symmetry, where the horizon is defined locally as a trapping horizon. The first case, boundary terms in a dual-null form of the reduced action in two dimensions, gives a result that is proportional to the area. The second case, Wald’s Noether current method, is generalized to dynamic black holes, giving an entropy that is ju...

Using canonical methods, we study the invariance properties of a bosonic p– brane propagating in a curved background locally diffeomorphic to M × G, where M is spacetime and G a group manifold. The action is that of a gauged sigma model in p + 1 dimensions coupled to a Yang–Mills field and a (p + 1)–form in M. We construct the generators of Yang-Mills and tensor gauge transformations and exhibi...

We show that generalized symmetries cannot be charged under a continuous global symmetry having Noether current. Further, only non-compact can symmetry. These results follow from finer classification of twist operators, which naturally extends to finite group symmetries. They unravel topological obstructions the strong version Noether's theorem in QFT, even if general conditions implemented loc...

Cools, Draisma, Payne, and Robeva proved that generic metric graphs that are “paths of loops” are Brill-Noether general. We show that Brill-Noether generality does not hold for “trees of loops”: the only trees of loops that are Brill-Noether general are paths of loops. We study various notions of generality and examine which of these graphs satisfy them.

This paper explores exact cosmological solutions of anisotropic universe model through Noether symmetry technique in energy-momentum squared gravity. theory resolves the primordial singularity and provides viable consequences early universe. We consider specific models this evaluate equations, generators corresponding conserved parameters. then find parameters analyze their graphical behavior f...

(by H. Murayama) In this section we list limits for very light neutral (pseudo) scalar bosons that couple weakly to stable matter. They arise if there is a global continuous symmetry in the theory that is spontaneously broken in the vacuum. If the symmetry is exact, it results in a massless Nambu{Goldstone (NG) boson. If there is a small explicit breaking of the symmetry, either already in the ...