| Autor: |
Clay Córdova, Davide Gaiotto, Shu-Heng Shao |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2017, Iss 12, Pp 1-42 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP12(2017)078 |
| Popis: |
Abstract We conjecture a formula for the Schur index of four-dimensional N=2 $$ \mathcal{N}=2 $$ theories coupled to (2, 2) surface defects in terms of the 2d-4d BPS spectrum in the Coulomb phase of the theory. The key ingredient in our conjecture is a refined 2d-4d wall-crossing invariant, which we also formulate. Our result intertwines recent conjectures expressing the four-dimensional Schur index in terms of infrared BPS particles, with the Cecotti-Vafa formula for limits of the elliptic genus in terms of two-dimensional BPS solitons. We extend our discussion to framed 2d-4d BPS states, and use this to demonstrate a general relationship between surface defect indices and line defect indices. We illustrate our results in the example of su2 $$ \mathfrak{s}\mathfrak{u}(2) $$ super Yang-Mills coupled to the ℂℙ1 sigma model defect. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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