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SUMMARY:Mario Garcia-Fernandez (ICMAT and Universidad Autónoma de Madrid)
DTSTART:20200623T160000Z
DTEND:20200623T170000Z
DTSTAMP:20260423T022625Z
UID:Geolis/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/6/">G
 auge theory for string algebroids</a>\nby Mario Garcia-Fernandez (ICMAT an
 d Universidad Autónoma de Madrid) as part of Geometria em Lisboa (IST)\n\
 n\nAbstract\nIn this talk I will overview recent joint work with Roberto R
 ubio and Carl Tipler in arXiv:2004.11399. We introduce a moment map pictur
 e for string algebroids\, a special class of holomorphic Courant algebroid
 s introduced in arXiv:1807.10329. An interesting feature of our constructi
 on is that the Hamiltonian gauge action is described by means of Morita eq
 uivalences\, as suggested by higher gauge theory. The zero locus of the mo
 ment map is given by the solutions of the Calabi system\, a coupled system
  of equations which provides a unifying framework for the classical Calabi
  problem and the Hull-Strominger system. Our main results are concerned wi
 th the geometry of the moduli space of solutions. Assuming a technical con
 dition\, we prove that the moduli space carries a pseudo-Kähler metric wi
 th Kähler potential given by the 'dilaton functional'\, a topological for
 mula for the metric\, and an infinitesimal Donaldson-Uhlenbeck-Yau type th
 eorem. Finally\, we relate our topological formula to a physical predictio
 n for the gravitino mass in order to obtain a new conjectural obstruction 
 for the Hull-Strominger system.\n
LOCATION:https://researchseminars.org/talk/Geolis/6/
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