The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra

Mark J. Bowick; Feza Gürsey

doi:10.1016/0550-3213(87)90276-8

The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra

Mark J. Bowick, Feza Gürsey

Department of Physics

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6 Scopus citations

Abstract

We demonstrate that the BRST charge operator is the generator of a nonlinear (fractional linear) transformation within the supergroup obtained by exponentiating the superalgebra whose even part is a set of first class bosonic constraints forming a Lie algebra and whose odd part is composed of the conjugate ghost operators and the BRST charge. Two alternative constructions are given. In the first the charge is the conventional singlet and in the second it is a spinor. The two constructions correspond to embedding the bosonic Lie algebra in two different superalgebras.

Original language	English (US)
Pages (from-to)	331-341
Number of pages	11
Journal	Nuclear Physics, Section B
Volume	283
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90276-8
State	Published - 1987

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(87)90276-8

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title = "The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra",

abstract = "We demonstrate that the BRST charge operator is the generator of a nonlinear (fractional linear) transformation within the supergroup obtained by exponentiating the superalgebra whose even part is a set of first class bosonic constraints forming a Lie algebra and whose odd part is composed of the conjugate ghost operators and the BRST charge. Two alternative constructions are given. In the first the charge is the conventional singlet and in the second it is a spinor. The two constructions correspond to embedding the bosonic Lie algebra in two different superalgebras.",

author = "Bowick, {Mark J.} and Feza G{\"u}rsey",

note = "Funding Information: One of us (F.G.) is indebted to Prof. L. Radicati for hospitality at the Scuola Normale and the other (M.B.) would like to thank the Niels Bohr Institute where this note was completed. This research was supported in part by the US Department of Energy under Contract No. DE-AC02-76ERO 3075 and also partly by the Accademia Nazionale dei Lincei and IBM.",

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doi = "10.1016/0550-3213(87)90276-8",

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T1 - The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra

AU - Bowick, Mark J.

AU - Gürsey, Feza

N1 - Funding Information: One of us (F.G.) is indebted to Prof. L. Radicati for hospitality at the Scuola Normale and the other (M.B.) would like to thank the Niels Bohr Institute where this note was completed. This research was supported in part by the US Department of Energy under Contract No. DE-AC02-76ERO 3075 and also partly by the Accademia Nazionale dei Lincei and IBM.

PY - 1987

Y1 - 1987

N2 - We demonstrate that the BRST charge operator is the generator of a nonlinear (fractional linear) transformation within the supergroup obtained by exponentiating the superalgebra whose even part is a set of first class bosonic constraints forming a Lie algebra and whose odd part is composed of the conjugate ghost operators and the BRST charge. Two alternative constructions are given. In the first the charge is the conventional singlet and in the second it is a spinor. The two constructions correspond to embedding the bosonic Lie algebra in two different superalgebras.

AB - We demonstrate that the BRST charge operator is the generator of a nonlinear (fractional linear) transformation within the supergroup obtained by exponentiating the superalgebra whose even part is a set of first class bosonic constraints forming a Lie algebra and whose odd part is composed of the conjugate ghost operators and the BRST charge. Two alternative constructions are given. In the first the charge is the conventional singlet and in the second it is a spinor. The two constructions correspond to embedding the bosonic Lie algebra in two different superalgebras.

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JO - Nuclear Physics, Section B

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ER -

The BRST charge operator as a generator of nonlinear transformations of the constraint superalgebra

Abstract

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