Exportar Publicação

A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA)
Santilli, L., Szabo, R. J. & Tierz, M. (2020). Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory. Journal of High Energy Physics. 2020 (6)
Exportar Referência (IEEE)
S. Leonardo et al.,  "Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory", in Journal of High Energy Physics, vol. 2020, no. 6, 2020
Exportar BibTeX
@article{leonardo2020_1714713855316,
	author = "Santilli, L. and Szabo, R. J. and Tierz, M.",
	title = "Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory",
	journal = "Journal of High Energy Physics",
	year = "2020",
	volume = "2020",
	number = "6",
	doi = "10.1007/JHEP06(2020)036"
}
Exportar RIS
TY  - JOUR
TI  - Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory
T2  - Journal of High Energy Physics
VL  - 2020
IS  - 6
AU  - Santilli, L.
AU  - Szabo, R. J.
AU  - Tierz, M.
PY  - 2020
SN  - 1126-6708
DO  - 10.1007/JHEP06(2020)036
AB  - We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatment of supersymmetric gauge theories in three and five dimensions using cohomological localization techniques and the Atiyah-Singer index theorem. We survey various known results in a unified framework and provide simplified derivations of localiza- tion formulas, as well as various extensions including the case of irregular Seifert fibrations. We describe the reductions to four-dimensional gauge theories, and give an extensive de- scription of the dual two-dimensional Yang-Mills theory when the three-dimensional part of the geometry is a squashed three-sphere, including its extension to non-zero area, and a detailed analysis of the resulting matrix model. The squashing parameter b yields a fur- ther deformation of the usual q-deformation of two-dimensional Yang-Mills theory, which for rational values b2 = p/s yields a new correspondence with Chern-Simons theory on lens spaces L(p, s).
ER  -