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SUMMARY:Vacua of N=1* Theories and Calogero-Moser Systems
DTSTART:20241212T133000Z
DTEND:20241212T150000Z
DTSTAMP:20260614T164600Z
UID:indico-event-13515@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Valdo Tatitscheff (Heidelberg University & IHES))\n\
 nMotivated by the study of spontaneously broken non-invertible symmetries\
 , I will examine the connection between N=1* gauge theories and elliptic C
 alogero-Moser (CM) integrable systems\, with a focus on the well-studied t
 ype A case. N=1* gauge theories are mass-deformations of N=4 super Yang-Mi
 lls theories\, while elliptic Calogero-Moser systems describe integrable s
 ystems of particles on a torus associated with compact or complex simple L
 ie algebras. A puzzling feature of this correspondence is the fact that th
 ere seems to be a one-to-one mapping between the isolated extrema of CM sy
 stems and the massive vacua of N=1* theories on R4. These extrema\, howeve
 r\, should rather be in one-to-one correspondence with the massive vacua o
 f N=1∗ theories compactified on a circle\, which are typically more nume
 rous. I will explain how this apparent discrepancy is resolved by distingu
 ishing global variants of N=1* theories\, leading to an association of CM 
 systems with global variants of Lie groups rather than Lie algebras.\n \n
 \nhttps://indico.math.cnrs.fr/event/13515/
LOCATION:Amphithéâtre Léon Motchane (I.H.E.S.)
URL:https://indico.math.cnrs.fr/event/13515/
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