Trisecting non-Lagrangian theories

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.

49 pages, 8 figures, 8 tables, v2: a reference added

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Cited by in corpus (15)

• Universal RG Flows Across Dimensions and Holography
• Topologically twisted indices in five dimensions and holography
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Higher Form Symmetries of Argyres-Douglas Theories
• A slow review of the AGT correspondence
• 3d-3d correspondence for mapping tori
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid
• Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae
• A 2d (0,2) appetizer
• Argyres-Douglas matter and S-duality: Part II
• Topological AdS/CFT
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• 2d orbifolds with exotic supersymmetry
• $\kappa (R,T)$ gravity
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function