Quantization of N=2m simple supergravity in d=2+1

Ömer F. Dayi

doi:10.1016/0370-2693(90)91995-N

Quantization of N=2m simple supergravity in d=2+1

Ömer F. Dayi^*

^*Corresponding author for this work

Abdus Salam International Centre for Theoretical Physics

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

7 Citations (Scopus)

Abstract

In d=2+1 simple supergravity is a trivial theory and it has a Chern-Simons interpretation. Thus the overall sign of each one of the fermionic terms in the action for N>1 is arbitrary. By making use of these facts it is shown that for the N=2m simple supergravity in d=2+1 there exists a real polarization and an explicit construction of the physical Hilbert space is possible.

Original language	English
Pages (from-to)	25-29
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	234
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(90)91995-N
Publication status	Published - 4 Jan 1990
Externally published	Yes

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abstract = "In d=2+1 simple supergravity is a trivial theory and it has a Chern-Simons interpretation. Thus the overall sign of each one of the fermionic terms in the action for N>1 is arbitrary. By making use of these facts it is shown that for the N=2m simple supergravity in d=2+1 there exists a real polarization and an explicit construction of the physical Hilbert space is possible.",

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AB - In d=2+1 simple supergravity is a trivial theory and it has a Chern-Simons interpretation. Thus the overall sign of each one of the fermionic terms in the action for N>1 is arbitrary. By making use of these facts it is shown that for the N=2m simple supergravity in d=2+1 there exists a real polarization and an explicit construction of the physical Hilbert space is possible.

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Quantization of N=2m simple supergravity in d=2+1

Abstract

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