SEMINÁRIOS DE MATEMÁTICA

Enviado pela Prof. Isabel Calado:

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SEMINÁRIOS DE MATEMÁTICA
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Seminário de Análise, Geometria e Física-Matemática
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Título: (Exceptional) Generalised Geometry
Orador: Paulo Pires Pacheco (IST)
Dia: 16 de Abril
Local: Anfiteatro de Física, Gualtar
Hora: 16h
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Resumo: We review recently introduced geometric tools used to characterize
supersymmetric flux backgrounds, with special emphasis on Generalised
Complex Geometry as developed by Hitchin. We then proceed to describe
Exceptional Generalised Geometry, an extension of the latter formalism
based on the exceptional Lie group $E_7(7)$ which achieves a full
geometrization of all fluxes, including Ramond-Ramond fluxes. First we
present the formal structure of the theory: the Exceptional Generalized
Tangent bundle endowed with a non-trivial twisted topology and a
corresponding gerbe structure, an Exceptional Courant bracket and an
Exceptional Generalized Metric in which the bosonic degrees of freedom of
11D supergravity (the traditional metric and the fluxes) enter on equal
footing. We then show how this formalism may be used to rewrite part of
11D SUGRA in the language of N=1 D=4 supersymmetry and express the
corresponding effective superpotential in a manifestly $E_7(7)$ form.
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Organização conjunta Centro de Matemática - Officina Mathematica
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Mais informações em www.cmat.uminho.pt e www.ofmath.uminho.pt
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