Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras

S. Salgado; F. Izaurieta; N. González; G. Rubio

doi:10.1016/j.physletb.2014.03.038

Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras

S. Salgado^*
, F. Izaurieta
, N. González
, G. Rubio

^*Corresponding author for this work

Universidad de Concepción
Departamento de Física

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

If the Chern-Simons theory is the appropriate gauge theory for the gravitational interaction, then these theories must satisfy the correspondence principle, namely they must be related to General Relativity.In this Letter a five-dimensional Chern-Simons action invariant under the generalized Poincaré algebra B5 is constructed and then it is proved that the corresponding gauged Wess-Zumino-Witten term contains the Einstein-Hilbert action. In the same way, we show that a five-dimensional Chern-Simons action, invariant under the Maxwell algebra B4, induces a gauged Wess-Zumino-Witten term that coincides with the four-dimensional topological gravity.

Original language	English
Pages (from-to)	255-262
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	732
DOIs	https://doi.org/10.1016/j.physletb.2014.03.038
State	Published - 2014
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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https://doi.org/10.1016/j.physletb.2014.03.038

Cite this

@article{f44aaa4890c94ae9b40c6f9271373d4b,

title = "Gauged Wess-Zumino-Witten actions for generalized Poincar{\'e} algebras",

abstract = "If the Chern-Simons theory is the appropriate gauge theory for the gravitational interaction, then these theories must satisfy the correspondence principle, namely they must be related to General Relativity.In this Letter a five-dimensional Chern-Simons action invariant under the generalized Poincar{\'e} algebra B5 is constructed and then it is proved that the corresponding gauged Wess-Zumino-Witten term contains the Einstein-Hilbert action. In the same way, we show that a five-dimensional Chern-Simons action, invariant under the Maxwell algebra B4, induces a gauged Wess-Zumino-Witten term that coincides with the four-dimensional topological gravity.",

author = "S. Salgado and F. Izaurieta and N. Gonz{\'a}lez and G. Rubio",

note = "Funding Information: F.I. was supported in part by FONDECYT research project 1130653 . Three of the authors (N.G., G.R., S.S.) were supported by grants from the Comisi{\'o}n Nacional de Investigaci{\'o}n Cient{\'i}fica y Tecnol{\'o}gica CONICYT 221320318 , 221320687 , 221320421 , and from the Universidad de Concepci{\'o}n , Chile. The authors wish to thank P. Salgado for enlightening discussions. ",

year = "2014",

month = may,

day = "1",

doi = "10.1016/j.physletb.2014.03.038",

language = "English",

volume = "732",

pages = "255--262",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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TY - JOUR

T1 - Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras

AU - Salgado, S.

AU - Izaurieta, F.

AU - González, N.

AU - Rubio, G.

N1 - Funding Information: F.I. was supported in part by FONDECYT research project 1130653 . Three of the authors (N.G., G.R., S.S.) were supported by grants from the Comisión Nacional de Investigación Científica y Tecnológica CONICYT 221320318 , 221320687 , 221320421 , and from the Universidad de Concepción , Chile. The authors wish to thank P. Salgado for enlightening discussions.

PY - 2014/5/1

Y1 - 2014/5/1

N2 - If the Chern-Simons theory is the appropriate gauge theory for the gravitational interaction, then these theories must satisfy the correspondence principle, namely they must be related to General Relativity.In this Letter a five-dimensional Chern-Simons action invariant under the generalized Poincaré algebra B5 is constructed and then it is proved that the corresponding gauged Wess-Zumino-Witten term contains the Einstein-Hilbert action. In the same way, we show that a five-dimensional Chern-Simons action, invariant under the Maxwell algebra B4, induces a gauged Wess-Zumino-Witten term that coincides with the four-dimensional topological gravity.

AB - If the Chern-Simons theory is the appropriate gauge theory for the gravitational interaction, then these theories must satisfy the correspondence principle, namely they must be related to General Relativity.In this Letter a five-dimensional Chern-Simons action invariant under the generalized Poincaré algebra B5 is constructed and then it is proved that the corresponding gauged Wess-Zumino-Witten term contains the Einstein-Hilbert action. In the same way, we show that a five-dimensional Chern-Simons action, invariant under the Maxwell algebra B4, induces a gauged Wess-Zumino-Witten term that coincides with the four-dimensional topological gravity.

UR - https://www.scopus.com/pages/publications/84898414781

U2 - 10.1016/j.physletb.2014.03.038

DO - 10.1016/j.physletb.2014.03.038

M3 - Article

AN - SCOPUS:84898414781

SN - 0370-2693

VL - 732

SP - 255

EP - 262

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras

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