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SUMMARY:Hyperkahler Sigma Model and Field Theory on Gibbons-Hawking Spaces
  - Anindya Dey (U Texas)
DTSTART:20140522T120000Z
DTEND:20140522T130000Z
UID:TALK52366@talks.cam.ac.uk
CONTACT:Dr Dorigoni
DESCRIPTION:We will introduce a deformed version of the 3d hyperkahler sig
 ma model which arises from the compactification of d=4\,N=2 gauge theories
  on a Gibbons-Hawking space. After discussing extensions of the relevant h
 yperkahler identities from the standard story\, we will derive the conditi
 on for which the deformed sigma model preserves 4 out of the 8 supercharge
 s. Using supersymmetry considerations\, we will also demonstrate that the 
 contribution of the NUT center to the sigma model path integral is a holom
 orphic section of a certain holomorphic line bundle over the hyperkahler t
 arget. As a concrete example\, we will discuss the case where the original
  4d theory is a U(1) super Yang-Mills and show that the NUT center contrib
 ution in this case is the Jacobi theta function.
LOCATION:Potter Room (first floor\, Pav. B)
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