Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Gwilliam, Owen"'
We develop the theory of ``conformal twists'' of superconformal field theories in dimensions 3 to 6, extending the well-known analysis of twists for supersymmetric theories. The conformal twists describe all possible inequivalent choices of a nilpote
Externí odkaz:
http://arxiv.org/abs/2403.19753
Autor:
Costello, Kevin, Gwilliam, Owen
Factorization algebras are local-to-global objects living on manifolds, and they arise naturally in mathematics and physics. Their local structure encompasses examples like associative algebras and vertex algebras; in these examples, their global str
Externí odkaz:
http://arxiv.org/abs/2310.06137
Autor:
Gwilliam, Owen, Rejzner, Kasia
We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Lorentzian theories. Along the way we carefully articulate cochain-level re
Externí odkaz:
http://arxiv.org/abs/2212.08175
We provide a mathematical formulation of the idea of a defect for a field theory, in terms of the factorization algebra of observables and using the BV formalism. Our approach follows a well-known ansatz identifying a defect as a boundary condition a
Externí odkaz:
http://arxiv.org/abs/2208.01730
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation functions in the GUE with respect to the rank $N$ are described in term
Externí odkaz:
http://arxiv.org/abs/2206.04256
Autor:
Elliott, Chris, Gwilliam, Owen
This paper addresses the following question: given a topological quantum field theory on $\mathbb R^n$ built from an action functional, when is it possible to globalize the theory so that it makes sense on an arbitrary smooth oriented $n$-manifold? W
Externí odkaz:
http://arxiv.org/abs/2204.03702
We pursue a uniform quantization of all twists of 4-dimensional N = 4 supersymmetric Yang-Mills theory, using the BV formalism, and we explore consequences for factorization algebras of observables. Our central result is the construction of a one-loo
Externí odkaz:
http://arxiv.org/abs/2108.13392
We offer a new approach to large $N$ limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits BV quantizations in that setting. Matrix integrals offer a key example
Externí odkaz:
http://arxiv.org/abs/2108.12109
In both mathematics and physics, topological field theories and holomorphic field theories appear naturally, but there are interesting theories that are hybrids -- looking topological in some directions and holomorphic in others -- such as twists of
Externí odkaz:
http://arxiv.org/abs/2107.06734
Autor:
Elliott, Chris, Gwilliam, Owen
We examine symmetry breaking in field theory within the framework of derived geometry, as applied to field theory via the Batalin-Vilkovisky formalism. Our emphasis is on the standard examples of Ginzburg-Landau and Yang-Mills-Higgs theories and is p
Externí odkaz:
http://arxiv.org/abs/2008.03599