Nonrenormalization of two point and three point correlators of N=4 SYM in N=1 superspace - INSPIRE

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Nonrenormalization of two point and three point correlators of N=4 SYM in N=1 superspace

Mar, 1999

10 pages

Published in:

Phys.Lett.B 455 (1999) 164-170

e-Print:

hep-th/9903094 [hep-th]

DOI:

10.1016/S0370-2693(99)00416-5

Report number:

ITP-SB-99-5,
UMDEPP-99-97

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Abstract:

Certain two and three point functions of gauge invariant primary operators of

{\cal N}=4

SYM are computed in

{\cal N}=1

superspace keeping all the

\th

-components. This allows one to read off many component descendent correlators. Our results show the only possible

g^2_{YM}

corrections to the free field correlators are contact terms. Therefore they vanish for operators at separate points, verifying the known non-renormalization theorems. This also implies the results are consistent with

{\cal N}=4

supersymmetry even though the Lagrangian we use has only

{\cal N}=1

manifest supersymmetry. We repeat some of the calculations using supersymmetric Landau gauge and obtain, as expected, the same results as those of supersymmetric Feynman gauge.

Note:

10 pages, 20 eps figures, references added

gauge field theory: Yang-Mills
supersymmetry
superspace
two-point function
n-point function: 3
nonrenormalizable

References(27)

Figures(0)

Dimensional reduction in quantum gravity

Gerard 't Hooft
(
- Utrecht U.
)

- Conf.Proc.C 930308 (1993) 284-296
•
e-Print:
- gr-qc/9310026

The World as a hologram

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- J.Math.Phys. 36 (1995) 6377-6396
•
e-Print:
- hep-th/9409089
•
DOI:
- 10.1063/1.531249

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

Anti de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

Conformal field theory correlators from classical scalar field theory on AdS(d+1)

Wolfgang Mueck
(
- Simon Fraser U.
)
,
K.S. Viswanathan
(
- Simon Fraser U.
)

- Phys.Rev.D 58 (1998) 041901
•
e-Print:
- hep-th/9804035
•
DOI:
- 10.1103/PhysRevD.58.041901

Conformal field theory correlators from classical field theory on anti-de Sitter space. 2. Vector and spinor fields

Wolfgang Mueck
(
- Simon Fraser U.
)
,
K.S. Viswanathan
(
- Simon Fraser U.
)

- Phys.Rev.D 58 (1998) 106006
•
e-Print:
- hep-th/9805145
•
DOI:
- 10.1103/PhysRevD.58.106006

Correlation functions in the CFT(d) / AdS(d+1) correspondence

Daniel Z. Freedman
(
- MIT, LNS and
- MIT
)
,
Samir D. Mathur
(
- MIT, LNS
)
,
Alec Matusis
(
- MIT, LNS
)
,
Leonardo Rastelli
(
- MIT, LNS
)

- Nucl.Phys.B 546 (1999) 96-118
•
e-Print:
- hep-th/9804058
•
DOI:
- 10.1016/S0550-3213(99)00053-X

Nonperturbative effects in AdS in five-dimensions x S**5 string theory and d = 4 SUSY Yang-Mills

Tom Banks
(
- Rutgers U., Piscataway and
- Santa Barbara, KITP
)
,
Michael B. Green
(
- Cambridge U. and
- Santa Barbara, KITP
)

- JHEP 05 (1998) 002
•
e-Print:
- hep-th/9804170
•
DOI:
- 10.1088/1126-6708/1998/05/002

R current correlators in N=4 superYang-Mills theory from anti-de Sitter supergravity

Gordon Chalmers
(
- SUNY, Stony Brook
)
,
Horatiu Nastase
(
- SUNY, Stony Brook
)
,
Koenraad Schalm
(
- SUNY, Stony Brook
)
,
Ruud Siebelink
(
- SUNY, Stony Brook and
- Leuven U.
)

- Nucl.Phys.B 540 (1999) 247-270
•
e-Print:
- hep-th/9805105
•
DOI:
- 10.1016/S0550-3213(98)00758-5

On four point functions in the CFT / AdS correspondence

Hong Liu
(
- Imperial Coll., London
)
,
Arkady A. Tseytlin
(
- Lebedev Inst. and
- Imperial Coll., London
)

- Phys.Rev.D 59 (1999) 086002
•
e-Print:
- hep-th/9807097
•
DOI:
- 10.1103/PhysRevD.59.086002

Comments on 4 point functions in the CFT / AdS correspondence

Daniel Z. Freedman
(
- MIT, LNS and
- MIT
)
,
Samir D. Mathur
(
- MIT, LNS
)
,
Alec Matusis
(
- MIT, LNS
)
,
Leonardo Rastelli
(
- MIT, LNS
)

- Phys.Lett.B 452 (1999) 61-68
•
e-Print:
- hep-th/9808006
•
DOI:
- 10.1016/S0370-2693(99)00229-4

The Large N(c) limit of four point functions in N=4 superYang-Mills theory from Anti-de Sitter supergravity

Gordon Chalmers
(
- Argonne
)
,
Koenraad Schalm
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 554 (1999) 215-236
•
e-Print:
- hep-th/9810051
•
DOI:
- 10.1016/S0550-3213(99)00275-8

Scattering in anti-de Sitter space and operator product expansion

Hong Liu
(
- Imperial Coll., London
)

- Phys.Rev.D 60 (1999) 106005
•
e-Print:
- hep-th/9811152
•
DOI:
- 10.1103/PhysRevD.60.106005

AdS dynamics from conformal field theory

Tom Banks
(
- Rutgers U., Piscataway and
- Santa Barbara, KITP
)
,
Michael R. Douglas
(
)
,
Gary T. Horowitz
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)
,
Emil J. Martinec
(
- Chicago U., EFI and
- Chicago U. and
- Santa Barbara, KITP
)

e-Print:
- hep-th/9808016

What do CFTs tell us about Anti-de Sitter space-times?

Vijay Balasubramanian
(
- Harvard U. and
- Santa Barbara, KITP
)
,
Steven B. Giddings
(
- UC, Santa Barbara
)
,
Albion E. Lawrence
(
- Harvard U. and
- Rutgers U., Piscataway
)

- JHEP 03 (1999) 001
•
e-Print:
- hep-th/9902052
•
DOI:
- 10.1088/1126-6708/1999/03/001

S matrices from AdS space-time

Joseph Polchinski
(
- Santa Barbara, KITP
)

e-Print:
- hep-th/9901076

Holography in the flat space limit

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- AIP Conf.Proc. 493 (1999) 1, 98-112
•
e-Print:
- hep-th/9901079
•
DOI:
- 10.1063/1.1301570

The Boundary S matrix and the AdS to CFT dictionary

Steven B. Giddings
(
- UC, Santa Barbara
)

- Phys.Rev.Lett. 83 (1999) 2707-2710
•
e-Print:
- hep-th/9903048
•
DOI:
- 10.1103/PhysRevLett.83.2707

Three point functions of chiral operators in D = 4, N=4 SYM at large N

Sangmin Lee
(
- Princeton U.
)
,
Shiraz Minwalla
(
- Princeton U.
)
,
Mukund Rangamani
(
- Princeton U.
)
,
Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 697-718
•
e-Print:
- hep-th/9806074
•
DOI:
- 10.4310/ATMP.1998.v2.n4.a1

Field theory tests for correlators in the AdS / CFT correspondence

Eric D'Hoker
(
- UCLA and
- Santa Barbara, KITP
)
,
Daniel Z. Freedman
(
- Santa Barbara, KITP and
- MIT, LNS
)
,
Witold Skiba
(
- UC, San Diego
)

- Phys.Rev.D 59 (1999) 045008
•
e-Print:
- hep-th/9807098
•
DOI:
- 10.1103/PhysRevD.59.045008

A Note on four point functions of conformal operators in N=4 superYang-Mills

Francisco Gonzalez-Rey
(
- SUNY, Stony Brook
)
,
I.Y. Park
(
- SUNY, Stony Brook
)
,
Koenraad Schalm
(
- SUNY, Stony Brook
)

- Phys.Lett.B 448 (1999) 37-40
•
e-Print:
- hep-th/9811155
•
DOI:
- 10.1016/S0370-2693(99)00017-9

Four point functions in N=4 supersymmetric Yang-Mills theory at two loops

B. Eden
(
- King's Coll. London
)
,
Paul S. Howe
(
- King's Coll. London
)
,
C. Schubert
(
- Annecy, LAPTH
)
,
E. Sokatchev
(
- Annecy, LAPTH
)
,
Peter C. West
(
- King's Coll. London
)

- Nucl.Phys.B 557 (1999) 355-379
•
e-Print:
- hep-th/9811172
•
DOI:
- 10.1016/S0550-3213(99)00360-0

Nonperturbative formulas for central functions of supersymmetric gauge theories

- Nucl.Phys.B 526 (1998) 543-571
•
e-Print:
- hep-th/9708042
•
DOI:
- 10.1016/S0550-3213(98)00278-8

Absorption by branes and Schwinger terms in the world volume theory

Steven S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)

- Phys.Lett.B 413 (1997) 41-48
•
e-Print:
- hep-th/9708005
•
DOI:
- 10.1016/S0370-2693(97)01099-X

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