Beta functions for double-trace couplings in orbifold gauge theories

A. Dymarsky; I. R. Klebanov; R. Roiban

doi:10.1142/S0217751X05029307

Beta functions for double-trace couplings in orbifold gauge theories

A. Dymarsky, I. R. Klebanov, R. Roiban

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

2 Scopus citations

Abstract

We summarize calculation of one-loop beta functions in orbifolds of the script = 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS₅ × S⁶/ Γ, and the general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. We emphasize the importance of decoupling the U(1) factors. We describe a class of non-supersymmetric field theories corresponding to orbifolds acting freely on the S⁵ which preserve some of its global symmetries. In this class we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS₅ × S⁵/Γ is discussed.

Original language	English
Pages (from-to)	6278-6287
Number of pages	10
Journal	International Journal of Modern Physics A
Volume	20
Issue number	27
DOIs	https://doi.org/10.1142/S0217751X05029307
State	Published - Oct 30 2005

Bibliographical note

Funding Information:
The research of A. D. is supported in part by grant RFBR 04-02-16538 and the NSF Grant No. PHY-0243680. The research of I. R. K. is supported in part by the NSF Grant No. PHY-0243680. The research of R. R. is supported in part by the U.S.D.O.E. under co-operative research agreement DE-FC02-91ER40671. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.

Funding

The research of A. D. is supported in part by grant RFBR 04-02-16538 and the NSF Grant No. PHY-0243680. The research of I. R. K. is supported in part by the NSF Grant No. PHY-0243680. The research of R. R. is supported in part by the U.S.D.O.E. under co-operative research agreement DE-FC02-91ER40671. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.

Funders	Funder number
U.S.D.O.E.	DE-FC02-91ER40671
National Science Foundation (NSF)

Keywords

CFT
Orbifold
Quiver Gauge Theory

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

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Cite this

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title = "Beta functions for double-trace couplings in orbifold gauge theories",

abstract = "We summarize calculation of one-loop beta functions in orbifolds of the script = 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS5 × S6/ Γ, and the general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. We emphasize the importance of decoupling the U(1) factors. We describe a class of non-supersymmetric field theories corresponding to orbifolds acting freely on the S5 which preserve some of its global symmetries. In this class we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS5 × S5/Γ is discussed.",

keywords = "CFT, Orbifold, Quiver Gauge Theory",

author = "A. Dymarsky and Klebanov, \{I. R.\} and R. Roiban",

note = "Funding Information: The research of A. D. is supported in part by grant RFBR 04-02-16538 and the NSF Grant No. PHY-0243680. The research of I. R. K. is supported in part by the NSF Grant No. PHY-0243680. The research of R. R. is supported in part by the U.S.D.O.E. under co-operative research agreement DE-FC02-91ER40671. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.",

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doi = "10.1142/S0217751X05029307",

language = "English",

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T1 - Beta functions for double-trace couplings in orbifold gauge theories

AU - Dymarsky, A.

AU - Klebanov, I. R.

AU - Roiban, R.

N1 - Funding Information: The research of A. D. is supported in part by grant RFBR 04-02-16538 and the NSF Grant No. PHY-0243680. The research of I. R. K. is supported in part by the NSF Grant No. PHY-0243680. The research of R. R. is supported in part by the U.S.D.O.E. under co-operative research agreement DE-FC02-91ER40671. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.

PY - 2005/10/30

Y1 - 2005/10/30

N2 - We summarize calculation of one-loop beta functions in orbifolds of the script = 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS5 × S6/ Γ, and the general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. We emphasize the importance of decoupling the U(1) factors. We describe a class of non-supersymmetric field theories corresponding to orbifolds acting freely on the S5 which preserve some of its global symmetries. In this class we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS5 × S5/Γ is discussed.

AB - We summarize calculation of one-loop beta functions in orbifolds of the script = 4 SYM theory by a discrete subgroup Γ of the SU(4) R-symmetry, which are dual to string theory on AdS5 × S6/ Γ, and the general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. We emphasize the importance of decoupling the U(1) factors. We describe a class of non-supersymmetric field theories corresponding to orbifolds acting freely on the S5 which preserve some of its global symmetries. In this class we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS5 × S5/Γ is discussed.

KW - CFT

KW - Orbifold

KW - Quiver Gauge Theory

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JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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ER -

Beta functions for double-trace couplings in orbifold gauge theories

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

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