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Trisecting non-Lagrangian theories. (English) Zbl 1383.83174

Summary: We propose a way to define and compute invariants of general smooth 4-manifolds based on topological twists of non-Lagrangian 4d \( \mathcal{N}=2\) and \( \mathcal{N}=3 \) 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, \( \mathcal{N}=\left(2,2\right) \) linear dilaton theories, “self-mirror” geometries, varieties with complex multiplication, etc.

MSC:

83E30 String and superstring theories in gravitational theory
81T45 Topological field theories in quantum mechanics
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
53Z05 Applications of differential geometry to physics
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