Fivebranes and 4-manifolds
By Abhijit Gadde, Sergei Gukov, Pavel Putrov. 2013
165 citations recorded by the source corpus.
We describe rules for building 2d theories labeled by 4-manifolds. Using the proposed dictionary between building blocks of 4-manifolds and 2d N=(0,2) theories, we obtain a number of results, which include new 3d N=2 theories T[M_3] associated with rational homology spheres and new results for Vafa-Witten partition functions on 4-manifolds. In particular, we point out that the gluing measure for the latter is precisely the superconformal index of 2d (0,2) vector multiplet and relate the basic building blocks with coset branching functions. We also offer a new look at the fusion of defect lines / walls, and a physical interpretation of the 4d and 3d Kirby calculus as dualities of 2d N=(0,2) theories and 3d N=2 theories, respectively
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f9e6e0633d9fc4eb44ea72b7980e87eefdc63a8b
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Top down approach to 6D SCFTs (2018, background): “This is currently an active area of investigation across many different dimensions, including 5D [110, 20], 4D [10–25], and 2D theories [198, 17, 199].”