Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Owen Gwilliam"'
Autor:
Kevin Costello, Owen Gwilliam
Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examp
Autor:
Chris Elliott, Owen Gwilliam
Publikováno v:
Reviews in Mathematical Physics.
This paper addresses the following question: given a topological quantum field theory on [Formula: see text] built from an action functional, when is it possible to globalize the theory so that it makes sense on an arbitrary smooth oriented [Formula:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::426f73c683f25e7e1c101df364b1c9a7
https://doi.org/10.1142/s0129055x23500113
https://doi.org/10.1142/s0129055x23500113
Publikováno v:
Letters in Mathematical Physics. 113
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b49976d3797092656b5ab20937be3e7e
https://doi.org/10.1007/s11005-023-01670-2
https://doi.org/10.1007/s11005-023-01670-2
Publikováno v:
Astérisque. 417:1-210
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06aad374e8a78c14b6513fd981dda06c
https://doi.org/10.24033/ast.1121
https://doi.org/10.24033/ast.1121
Autor:
Kevin Costello, Owen Gwilliam
Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5a1b74860f2edcf9ce1f2692ffc216d
https://doi.org/10.1017/9781316678664
https://doi.org/10.1017/9781316678664
Publikováno v:
Advances in Mathematics. 409:108631
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::358d6bd3b13abdee40dacc7842e6864c
https://doi.org/10.1016/j.aim.2022.108631
https://doi.org/10.1016/j.aim.2022.108631
Autor:
Brian Williams, Owen Gwilliam
Publikováno v:
Advances in Theoretical and Mathematical Physics
We introduce a higher dimensional generalization of the affine Kac-Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a factorization algebra of "currents" associated to any Lie algebra. We cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d60eb911bcda60383d0e1f0f9adfc6c
https://hdl.handle.net/21.11116/0000-0009-7043-D21.11116/0000-0009-7045-B21.11116/0000-0009-7046-A
https://hdl.handle.net/21.11116/0000-0009-7043-D21.11116/0000-0009-7045-B21.11116/0000-0009-7046-A
Autor:
Chris Elliott, Owen Gwilliam
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30d38e28c7b0fb0e984ca05615b5b670
http://arxiv.org/abs/2008.03599
http://arxiv.org/abs/2008.03599
Autor:
Ryan Grady, Owen Gwilliam
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 19:487-535
In this paper, we relate Lie algebroids to Costello’s version of derived geometry. For instance, we show that each Lie algebroid – and the natural generalization to dg Lie algebroids – provides an (essentially unique)$L_{\infty }$space. More pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cedce838002fb441e914ec76893dbe23
https://doi.org/10.1017/s1474748018000075
https://doi.org/10.1017/s1474748018000075
Autor:
Kevin Costello, Owen Gwilliam
Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses exampl