Cohomological localization of $$ \mathcal{N} $$ = 2 gauge theories with matter
| Autor: | Antonio Pittelli, Anastasios Gorantis, Lorenzo Ruggeri, Guido Festuccia, Konstantina Polydorou |
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| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Large class Physics Nuclear and High Energy Physics Extended Supersymmetry 010308 nuclear & particles physics FOS: Physical sciences Supersymmetry Fixed point 01 natural sciences Supersymmetric Gauge Theory High Energy Physics::Theory Killing vector field Theoretical physics High Energy Physics - Theory (hep-th) Topological Field Theories Supersymmetric gauge theory 0103 physical sciences lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Gauge theory 010306 general physics Construct (philosophy) |
| Zdroj: | Journal of High Energy Physics, Vol 2020, Iss 9, Pp 1-33 (2020) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep09(2020)133 |
| Popis: | We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general $\mathcal{N}=2$ gauge theories including hypermultiplets. We present a general framework encompassing equivariant Donaldson-Witten theory and Pestun's theory on $S^4$ as two particular cases. This is achieved by expressing fields in cohomological variables, whose features are dictated by supersymmetry and require a generalized notion of self-duality for two-forms and of chirality for spinors. Finally, we implement localization techniques to compute the exact partition function of the cohomological theories we built up and write the explicit result for manifolds with diverse topologies. Comment: 37 pages including appendices. Partial text overlap with arXiv:1812.06473 in appendices. Minor typo fixes, references added |
| Databáze: | OpenAIRE |
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