Comments on 4 point functions in the CFT / AdS correspondence - INSPIRE

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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
)

Aug, 1998

11 pages

Published in:

Phys.Lett.B 452 (1999) 61-68

e-Print:

hep-th/9808006 [hep-th]

DOI:

10.1016/S0370-2693(99)00229-4

Report number:

MIT-CTP-2770

View in:

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Abstract:

We study the four--point function of chiral primaries corresponding to the dilaton--axion sector in supergravity in the

AdS_5

/CFT

_4

correspondence. We find relations between some of the supergravity graphs and compute their leading singularities. We discuss the issue of logarithmic singularities and their significance for the OPE structure of the CFT.

Note:

Latex, 12 pages, Some typos corrected

field theory: conformal
space-time: anti-de Sitter
n-point function: 4
operator product expansion
supergravity
dilaton
axion
singularity

References(15)

Figures(0)

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

Spinors and the AdS / CFT correspondence

Mans Henningson
(
- CERN
)
,
Konstadinos Sfetsos
(
- CERN
)

- Phys.Lett.B 431 (1998) 63-68
•
e-Print:
- hep-th/9803251
•
DOI:
- 10.1016/S0370-2693(98)00559-0

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

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

D = 4 superYang-Mills, D = 5 gauged supergravity, and D = 4 conformal supergravity

Hong Liu
(
- Imperial Coll., London
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London and
- Santa Barbara, KITP
)

- Nucl.Phys.B 533 (1998) 88-108
•
e-Print:
- hep-th/9804083
•
DOI:
- 10.1016/S0550-3213(98)00443-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

Interacting spinors - scalars and AdS / CFT correspondence

Amir M. Ghezelbash
(
- Azzahra U. and
- IPM, Tehran
)
,
Kamran Kaviani
(
- Azzahra U. and
- IPM, Tehran
)
,
Shahrokh Parvizi
(
- IPM, Tehran
)
,
Amir H. Fatollahi
(
- IPM, Tehran and
- Sharif U. of Tech.
)

- Phys.Lett.B 435 (1998) 291-298
•
e-Print:
- hep-th/9805162
•
DOI:
- 10.1016/S0370-2693(98)00815-6

Correlation functions of boundary field theory from bulk Green's functions and phases in the boundary theory

Sergey N. Solodukhin
(
- Alberta U.
)

- Nucl.Phys.B 539 (1999) 403-437
•
e-Print:
- hep-th/9806004
•
DOI:
- 10.1016/S0550-3213(98)00715-9

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

On the origin of supergravity boundary terms in the AdS / CFT correspondence

- Nucl.Phys.B 544 (1999) 576-589
•
e-Print:
- hep-th/9806216
•
DOI:
- 10.1016/S0550-3213(98)00816-5

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

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