The Partition Function Of Argyres-Douglas Theory On A Four-Manifold

Abstract

Using the $u$-plane integral as a tool, we derive a formula for the partition function of the simplest nontrivial (topologically twisted) Argyres-Douglas theory on compact, oriented, simply connected, four-manifolds without boundary and with $b_2^{+}>0$. The result can be expressed in terms of classical cohomological invariants and Seiberg-Witten invariants. Our results hint at the existence of standard four-manifolds that are not of Seiberg-Witten simple type.

33 pages

References in corpus (4)

• Mock Theta Functions
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Will we ever classify simply-connected smooth 4-manifolds?
• Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting

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