Fivebranes and 4-Manifolds
Abstract
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)N=(0,2) theories, we obtain a number of results, which include new 3d N=2N=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)N=(0,2) theories and 3d N=2N=2 theories, respectively.
Additional Information
© 2016 Springer International Publishing Switzerland. We thank F. Quinn, D. Roggenkamp, C. Schweigert, A. Stipsicz, and P. Teichner for patient and extremely helpful explanations.We also thank T. Dimofte, Y. Eliashberg, A. Kapustin, T. Mrowka, W. Neumann, T. Okazaki, E. Sharpe, C. Vafa, J. Walcher, and E. Witten, among others, for a wide variety of helpful comments. The work of A.G. is supported in part by the John A. McCone fellowship and by DOE Grant DE-FG02-92-ER40701. The work of S.G. is supported in part by DOE Grant DE-FG03-92-ER40701FG-02 and in part by NSF Grant PHY-0757647. The work of P.P. is supported in part by the Sherman Fairchild scholarship and by NSF Grant PHY-1050729. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.Attached Files
Submitted - 1306.4320.pdf
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Additional details
- Eprint ID
- 78238
- DOI
- 10.1007/978-3-319-43648-7_7
- Resolver ID
- CaltechAUTHORS:20170615-083539862
- DE-FG02-92-ER40701
- Department of Energy (DOE)
- DE-FG03-92-ER40701FG-02
- Department of Energy (DOE)
- PHY-0757647
- NSF
- Sherman Fairchild Foundation
- PHY-1050729
- NSF
- John A. McCone Postdoctoral Fellowship
- Created
-
2017-06-15Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Series Name
- Progress in Mathematics
- Series Volume or Issue Number
- 319
- Other Numbering System Name
- CALT
- Other Numbering System Identifier
- 68-2904