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SUMMARY:UV-QG Seminars. Pedro Álvarez. Exploring the geometries of SUSY i
 n the adjoint representation
DTSTART;VALUE=DATE-TIME:20261111T133000Z
DTEND;VALUE=DATE-TIME:20261111T150000Z
DTSTAMP;VALUE=DATE-TIME:20261029T213358Z
UID:indico-event-8827@indico.ific.uv.es
DESCRIPTION:Speaker: Pedro Álvarez. Universidad San Sebastián\, Valdivi
 a\, Chile. \n\n \n\nThis talk offers a pedagogical introduction to geome
 tric realizations of supersymmetry in the adjoint representation. We begin
  with the basic framework and explain how gravity\, Yang–Mills fields\, 
 and fermionic matter can be combined in an osp(N|4)-valued superconnection
 . We then introduce the Clifford construction of the action\, emphasizing 
 how it relates the gravity\, gauge\, and matter sectors.\n\nNext\, we expl
 ain the role of the Clifford-valued coframe e^a\\gamma_a in relating vecto
 r and spinor representations of local Lorentz symmetry. We show how its ex
 terior products generate the building blocks of chiral gravity\, with simp
 licity relations satisfied automatically\, and recover Einstein–Cartan g
 ravity with a cosmological constant and the Holst term.\n\nFinally\, we di
 scuss how matter ansätz express spinorial differential forms in terms of 
 spin-1/2 fields. We examine the supersymmetry transformations that preserv
 e these ansätz and explain why these lead 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/event/8827/
LOCATION:Campus Burjassot 4-4-4426 - Seminari Física Teòrica
URL:https://indico.ific.uv.es/event/8827/
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