Vertex algebras and 4-manifold invariants

Creators: Dedushenko, Mykola; Gukov, Sergei; Putrov, Pavel

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.

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.

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