Seminar series
Date
Mon, 28 Apr 2014
Time
12:00 -
13:00
Location
L5
Speaker
Xenia de la Ossa
Organisation
Oxford
We describe the tangent space to the moduli space of heterotic string theory compactifications which preserve N=1 supersymmetry in four dimensions, that is, the infinitesimal parameter space of the Strominger system. We establish that if we promote a connection on TX to a field, the moduli space corresponds to deformations of a holomorphic structure \bar{D} on a bundle Q. The bundle Q is constructed as an extension by the cotangent bundle T^*X of the bundle E= End(V) \oplus End(TX) \oplus TX with an extension class {\cal H} which precisely enforces the anomaly cancelation condition. The deformations corresponding to the bundle E are simultaneous deformations of the holomorphic structures on the poly-stable bundles V and TX together with those of the complex structure of X. We discuss the fact that the ``moduli'' corresponding to End(TX) cannot be physical, but are however needed in our mathematical structure to be able to enforce the anomaly cancelation condition. This is work done in collaboration with Eirik Svanes.