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SUMMARY:Ellipticity and modularity in integrable systems\, and N=1* - Jan 
 Troost (ENS)
DTSTART:20150604T120000Z
DTEND:20150604T130000Z
UID:TALK59326@talks.cam.ac.uk
CONTACT:Godazgar
DESCRIPTION:Elliptic integrable systems arise as low-energy effective supe
 rpotentials\nof supersymmetric gauge theories. Their extrema sometimes for
 m vector\nvalued modular forms of congruent subgroups of the modular group
 . We will\nfind confirmations of this fact\, as well as exceptions. We fin
 d for\ninstance a point of monodromy at rational Klein invariant.\nWe cons
 truct the duality diagrams of the extrema of low rank integrable\nsystems\
 , and\nwill discuss further intriguing number theoretic properties of the\
 nextrema. We apply all the\nknowledge we obtain to the physics of N=1* gau
 ge theories with B\,C and D\ntype gauge algebra.
LOCATION:Potter Room (first floor\, Pav. B)
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