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Vertex algebras and 4-manifold invariants

Dedushenko, Mykola and Gukov, Sergei and Putrov, Pavel (2017) Vertex algebras and 4-manifold invariants. . http://resolver.caltech.edu/CaltechAUTHORS:20170518-093106050

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Abstract

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d N = (0, 2) theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1705.01645arXivDiscussion Paper
Additional Information:We would like to thank J. Bryan, A. Dabholkar, A. Gadde, A. Haydys, M. Mari˜no, V. Mikhaylov, J.W. Morgan, H. Nakajima, H. Ooguri, J. Rasmussen, S. Schafer-Nameki, A. Soldatenkov, M. Stosic, E. Verlinde, H. Verlinde, J. Wong, and K. Ye for useful discussions and comments. The work of M.D. and S.G. is supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. In addition, the work of S.G. is supported in part by the ERC Starting Grant no. 335739 “Quantum fields and knot homologies” funded by the European Research Council under the European Union Seventh Framework Programme. P.P. gratefully acknowledges the support from Marvin L. Goldberger Fellowship and the DOE Grant DE-SC0009988. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
European Research Council (ERC)335739
Department of Energy (DOE)DE-SC0009988
Marvin L. Goldberger FellowshipUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH 2017-008
Record Number:CaltechAUTHORS:20170518-093106050
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170518-093106050
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77558
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:18 May 2017 17:40
Last Modified:18 May 2017 17:40

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