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pro vyhledávání: '"Costello, Kevin J."'
Autor:
Costello, Kevin J.
Form factors of self-dual gauge theory are equal to correlators of an (extended) celestial chiral algebra. This suggests that these form factors can be computed using the "bootstrap" method familiar from 2d CFTs. The method can also be applied to cer
Externí odkaz:
http://arxiv.org/abs/2302.00770
Autor:
Costello, Kevin J.
This paper studies a class of four-dimensional quantum field theories which arise by quantizing local holomorphic field theories on twistor space. These theories have some remarkable properties: in particular, all correlation functions are rational f
Externí odkaz:
http://arxiv.org/abs/2111.08879
Autor:
Costello, Kevin J.
This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic. Spin-chain models arise
Externí odkaz:
http://arxiv.org/abs/1308.0370
Autor:
Costello, Kevin J., Li, Si
Bershadsky-Cecotti-Ooguri-Vafa (BCOV) proposed that the B-model of mirror symmetry should be described by a quantum field theory on a Calabi-Yau variety, which they called the Kodaira-Spenser theory (we call it the BCOV theory). This is the first of
Externí odkaz:
http://arxiv.org/abs/1201.4501
Autor:
Costello, Kevin J.
I give a rigorous construction of a 2-dimensional quantum field theory of maps from an elliptic curve to a compact complex manifold X, and I show that the partition function of this theory is the Witten genus of X. The results proved here were announ
Externí odkaz:
http://arxiv.org/abs/1112.0816
Autor:
Costello, Kevin J.
These notes explore some aspects of formal derived geometry related to classical field theory. One goal is to explain how many important classical field theories in physics -- such as supersymmetric gauge theories and supersymmetric sigma-models -- c
Externí odkaz:
http://arxiv.org/abs/1111.4234
Autor:
Costello, Kevin J.
I describe how the Witten genus of a complex manifold $X$ can be seen from a rigorous analysis of a certain two-dimensional quantum field theory of maps from a surface to $X$.
Externí odkaz:
http://arxiv.org/abs/1006.5422
We describe an explicit action of the prop of the chains on the moduli space of Riemann surfaces on the Hochschild complex of a Calabi-Yau elliptic space. One example of such an elliptic space extends the known string topology operations, for all com
Externí odkaz:
http://arxiv.org/abs/0807.3052
Autor:
Costello, Kevin J.
This paper gives a way to renormalise certain quantum field theories on compact manifolds. Examples include Yang-Mills theory (in dimension 4 only), Chern-Simons theory and holomorphic Chern-Simons theory. The method is within the framework of the Ba
Externí odkaz:
http://arxiv.org/abs/0706.1533
Autor:
Costello, Kevin J.
Publikováno v:
Geom. Topol. 11 (2007) 1539-1579
This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a bundle of F
Externí odkaz:
http://arxiv.org/abs/math/0605647