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SUMMARY:UV-QG Seminars. Pedro Álvarez. Exploring the geometries of SUSY i
 n the adjoint representation
DTSTART;VALUE=DATE-TIME:20261112T130000Z
DTEND;VALUE=DATE-TIME:20261112T140000Z
DTSTAMP;VALUE=DATE-TIME:20261111T134526Z
UID:indico-event-8856@indico.ific.uv.es
DESCRIPTION:Speaker: Pedro Álvarez. Universidad San Sebastián and Centro
  de Estudios Científicos\, Valdivia\, Chile. \n\n \n\nThis talk offers 
 a pedagogical introduction to geometric realizations of supersymmetry in t
 he adjoint representation. We begin with the basic framework and explain h
 ow gravity\, Yang–Mills fields\, and fermionic matter can be combined in
  an osp(N|4)-valued superconnection. We then introduce the Clifford constr
 uction of the action\, emphasizing how it relates the gravity\, gauge\, an
 d matter sectors.\n\nNext\, we explain the role of the Clifford-valued cof
 rame e^a\\gamma_a in relating vector and spinor representations of local L
 orentz symmetry. We show how its exterior products generate the building b
 locks of chiral gravity\, with simplicity relations satisfied automaticall
 y\, and recover Einstein–Cartan gravity with a cosmological constant and
  the Holst term.\n\nFinally\, we discuss how matter ansätz express spinor
 ial differential forms in terms of spin-1/2 fields. We examine the supersy
 mmetry transformations that preserve these ansätz and explain why these l
 ead to the twistor-spinor equation.\n \n\nBased on: [arXiv:2608.17900]\, 
 [arXiv:2601.19734] and [arXiv:2111.09845].\n\nhttps://indico.ific.uv.es/ev
 ent/8856/
LOCATION:Campus Burjassot 4-4-4426 - Seminari Física Teòrica
URL:https://indico.ific.uv.es/event/8856/
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