Trisecting non-Lagrangian theories

Creators: Gukov, Sergei

Abstract

We propose a way to define and compute invariants of general smooth 4-manifolds based on topological twists of non-Lagrangian 4d N=2 and N=3 theories in which the problem is reduced to a fairly standard computation in topological A-model, albeit with rather unusual targets, such as compact and non-compact Gepner models, asymmetric orbifolds, N=(2,2) linear dilaton theories, "self-mirror" geometries, varieties with complex multiplication, etc.

Additional Information

© 2017 The Author(s). This article is distributed under the terms of the Creative Commons ttribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 5, 2017; Accepted: November 6, 2017; Published: November 27, 2017. It is pleasure to thank M. Atiyah, M. Dedushenko, T. Dumitrescu, D. Gay, A. Giveon, N. Hitchin, R. Kirby, D. Kutasov, D. Lüst, M. Mariño, J. Meier, I. Melnikov, P. Putrov, L. Schaposnik, E. Sharpe, S. Shatashvili, E. Silverstein, J. Song, J. Troost, and K. Ye for useful discussions and comments. This work is supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DESC0011632.

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Published - 10.1007_2FJHEP11_2017_178.pdf

Submitted - 1707.01515.pdf

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