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SUMMARY:Moduli space of heterotic string compactifications
DTSTART;VALUE=DATE-TIME:20170306T103000Z
DTEND;VALUE=DATE-TIME:20170306T120000Z
DTSTAMP;VALUE=DATE-TIME:20191213T091009Z
UID:indico-contribution-2162@indico.mitp.Uni-Mainz.DE
DESCRIPTION:Speakers: Xenia de la Ossa ()\nI review the geometry of hetero
tic string compactifications leading to supersymmetric gauge theories in
4 and 3 dimensions. The data of these compactifications are specified by
a quadruple (Y\, V\, TY\, H) where X is a 6 or 7 dimensional manifold wit
h a G-sturcture (a certain SU(3) structure in 6 dimensions or an integrabl
e G2 structure in 7)\, V is a vector bundle over X with a Yang Mills conne
ction which satisfies instanton constraints\, TY is the tangent bundle ove
r Y with an instanton connection\, and H is a three form on Y defined in t
erms of the B-field and the Chern-Simons forms for the connections on V an
d TY (the so called anomaly condition). We recast all the constraints on
the geometry of these compactifications in terms of an extension bundle Q
over Y which admits a differential which squares to zero. We show that
the tangent space of the moduli space is then given in terms of the first
cohomology group with values in Q. Time permitting\, we discuss the fact
that all our results can be reproduced from a superpotential. We find a K
ahler metric on the moduli space which is a natural inner product on the m
oduli space\, with a Kahler potential taking a remarkably simple form\, an
d as in type II special geometry\, it is quasi-topological.\n\nhttps://ind
ico.mitp.uni-mainz.de/event/68/contributions/2162/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/68/contributions/2162/
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