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SUMMARY:Standard General Relativity from Chern-Simons theories in d = 5: a
 n alternative procedure
DTSTART;VALUE=DATE-TIME:20130305T110000Z
DTEND;VALUE=DATE-TIME:20130305T120000Z
DTSTAMP;VALUE=DATE-TIME:20260629T011011Z
UID:indico-event-1899@indico.ific.uv.es
DESCRIPTION:It was recently proposed a mechanism by which standard General
  Relativity in five-dimensional spacetime may indeed emerge at a special c
 ritical point of a particular Chern-Simons (CS) action. To achieve this re
 sult\, both the Lie algebra and the symmetric invariant tensor that define
  the CS Lagrangian are constructed by means of the Lie algebra S-expansion
  method with a suitable finite abelian semigroup. An interesting question 
 that emerges is the following one: are there other Lie algebras that\, con
 structed also by means of the S-expansion method\, permits to construct a 
 CS lagrangian that in a certain critical point also lead to standard Gener
 al Relativity in d=5. To answer this question the general properties of th
 e expansion method are studied. This permits to perform the S-expansion at
  the level of the CS Lagrangian (for the AdS algebra) with an arbitrary-un
 known semigroup. Then we establish the conditions that the semigroup must 
 satisfy in order to lead the desired connection to standard General Relati
 vity. Finally we implement those conditions by means of computer programs 
 which give us the solution. We propose this procedure as a useful tool in 
 problems where it is important to find a physical theory or a family of th
 em that\, on a certain limit\, converge to some particular theory. For exa
 mple\, to study if a similar relation can be generalized to the supersymme
 tric case.\n\nhttps://indico.ific.uv.es/event/1899/
LOCATION:Dpto. de Física Teórica (UVEG) Sala Seminarios
URL:https://indico.ific.uv.es/event/1899/
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