In this thesis we study some aspects of field theories with super and higher spin symmetry. In the context of higher spin symmetry we restrict the study to 3 dimensions, we analyze the phase space of black hole solutions in the setting of $\mathfrak{sl}(3,\mathbb{R}) \oplus\mathfrak{sl}(3,\mathbb{R})$ Chern-Simons theory, to then move on to the $\infty$-dimensional algebra setting $\mathfrak{hs}(\l) \oplus\mathfrak{hs}(\l) $, where we construct black hole solutions and we couple these backgrounds to matter. \par We finish by introducing the idea of supersymmetric localization and we apply it to a four dimensional $\cn=2$ theories placed on a $SU(2)\times U(1)$ isometric $S^4$.

Computations on Field Theories with Super- and Higher Spin- Symmetry: Black Holes and Localization / Giraldo Rivera, Victor Ivan. - (2015 Dec 15).

Computations on Field Theories with Super- and Higher Spin- Symmetry: Black Holes and Localization

Giraldo Rivera, Victor Ivan
2015-12-15

Abstract

In this thesis we study some aspects of field theories with super and higher spin symmetry. In the context of higher spin symmetry we restrict the study to 3 dimensions, we analyze the phase space of black hole solutions in the setting of $\mathfrak{sl}(3,\mathbb{R}) \oplus\mathfrak{sl}(3,\mathbb{R})$ Chern-Simons theory, to then move on to the $\infty$-dimensional algebra setting $\mathfrak{hs}(\l) \oplus\mathfrak{hs}(\l) $, where we construct black hole solutions and we couple these backgrounds to matter. \par We finish by introducing the idea of supersymmetric localization and we apply it to a four dimensional $\cn=2$ theories placed on a $SU(2)\times U(1)$ isometric $S^4$.
15-dic-2015
Gava, Edi
Narain, Kumar S.
Giraldo Rivera, Victor Ivan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/3916
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