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

DataBETA

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
)

Apr, 1998

26 pages

Published in:

Nucl.Phys.B 546 (1999) 96-118

e-Print:

hep-th/9804058 [hep-th]

DOI:

10.1016/S0550-3213(99)00053-X

Report number:

MIT-CTP-2727

View in:

reference search905 citations

Citations per year

Abstract:

Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For 3 gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator of the N=4, d=4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating to for (non-marginal) scalar composite operators O^I, we find that there is a subtlety in obtaining the normalization of from the supergravity action integral.

Note:

27 pages, LaTex, 1 eps figure, few misprints corrected, references added Report-no: MIT-CTP-2727

11.25
11.25.H
AdS
Conformal field theory
Correlation functions
Supergravity
String theory
field theory: conformal
space-time: anti-de Sitter
correlation function

References(71)

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

Antigravitating Black Hole Solitons with Scalar Hair in N=4 Supergravity

G.W. Gibbons
(
- Cambridge U.
)

- Nucl.Phys.B 207 (1982) 337-349,
- Nucl. Phys. B207 ( 1982) 337-349
•
DOI:
- 10.1016/0550-3213(82)90170-5

Dilaton black holes near the horizon

- Phys.Rev.D 46 (1992) R5223-R5227
•
e-Print:
- hep-th/9209116
•
DOI:
- 10.1103/PhysRevD.46.R5223

Vacuum interpolation in supergravity via super p-branes

G.W. Gibbons
(
- Cambridge U.
)
,
P.K. Townsend
(
- Cambridge U.
)

- Phys.Rev.Lett. 71 (1993) 3754-3757
•
e-Print:
- hep-th/9307049
•
DOI:
- 10.1103/PhysRevLett.71.3754

Macroscopic superstrings as interpolating solitons

- Phys.Lett.B 332 (1994) 321-328
•
e-Print:
- hep-th/9405124
•
DOI:
- 10.1016/0370-2693(94)91260-2

Higher dimensional resolution of dilatonic black hole singularities

G.W. Gibbons
(
- Cambridge U. and
- Newton Inst. Math. Sci., Cambridge
)
,
Gary T. Horowitz
(
- Cambridge U. and
- Newton Inst. Math. Sci., Cambridge
)
,
P.K. Townsend
(
- Cambridge U.
)

- Class.Quant.Grav. 12 (1995) 297-318
•
e-Print:
- hep-th/9410073
•
DOI:
- 10.1088/0264-9381/12/2/004

Black holes and critical points in moduli space

Sergio Ferrara
(
- CERN
)
,
Gary W. Gibbons
(
- Cambridge U.
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)

- Nucl.Phys.B 500 (1997) 75-93
•
e-Print:
- hep-th/9702103
•
DOI:
- 10.1016/S0550-3213(97)00324-6

Enhancement of supersymmetry near 5-d black hole horizon

Ali H. Chamseddine
(
- Zurich, ETH
)
,
Sergio Ferrara
(
- CERN
)
,
Gary W. Gibbons
(
- Cambridge U.
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 55 (1997) 3647-3653
•
e-Print:
- hep-th/9610155
•
DOI:
- 10.1103/PhysRevD.55.3647

Entropy and temperature of black 3-branes

- Phys.Rev.D 54 (1996) 3915-3919
•
e-Print:
- hep-th/9602135
•
DOI:
- 10.1103/PhysRevD.54.3915

World volume approach to absorption by nondilatonic branes

Igor R. Klebanov
(
- Princeton U.
)

- Nucl.Phys.B 496 (1997) 231-242
•
e-Print:
- hep-th/9702076
•
DOI:
- 10.1016/S0550-3213(97)00235-6

String theory and classical absorption by three-branes

Steven S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London and
- Lebedev Inst.
)

- Nucl.Phys.B 499 (1997) 217-240
•
e-Print:
- hep-th/9703040
•
DOI:
- 10.1016/S0550-3213(97)00325-8

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

Semiclassical decay of near extremal five-branes

Juan Martin Maldacena
(
- Harvard U.
)
,
Andrew Strominger
(
- Harvard U.
)

- JHEP 12 (1997) 008
•
e-Print:
- hep-th/9710014
•
DOI:
- 10.1088/1126-6708/1997/12/008

The Mass Spectrum of Chiral N=2 D=10 Supergravity on S**5

H.J. Kim
(
- SUNY, Stony Brook
)
,
L.J. Romans
(
- Caltech
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Phys.Rev.D 32 (1985) 389
•
DOI:
- 10.1103/PhysRevD.32.389

The Spectrum of the s**5 Compactification of the Chiral N=2, D=10 Supergravity and the Unitary Supermultiplets of U(2, 2/4)

M. Gunaydin
(
- Caltech
)
,
N. Marcus
(
- UC, Berkeley
)

- Class.Quant.Grav. 2 (1985) L11
•
DOI:
- 10.1088/0264-9381/2/2/001

Compact and Noncompact Gauged Supergravity Theories in Five-Dimensions

M. Gunaydin
(
- LLNL, Livermore and
- LBL, Berkeley
)
,
L.J. Romans
(
- Caltech
)
,
N.P. Warner
(
- Caltech
)

- Nucl.Phys.B 272 (1986) 598-646
•
DOI:
- 10.1016/0550-3213(86)90237-3

Applications of conformal symmetry in quantum electrodynamics

M. Baker
(
- Washington U., Seattle
)
,
K. Johnson
(
- MIT, LNS
)

- Physica A 96 (1979) 1-2, 120-130
•
DOI:
- 10.1016/0378-4371(79)90199-7

e-Print:
- hep-th/9608215

Central functions and their physical implications

Damiano Anselmi
(
- Ecole Polytechnique
)

- JHEP 05 (1998) 005
•
e-Print:
- hep-th/9702056
•
DOI:
- 10.1088/1126-6708/1998/05/005

Positivity constraints on anomalies in supersymmetric gauge theories

- Phys.Rev.D 57 (1998) 7570-7588
•
e-Print:
- hep-th/9711035
•
DOI:
- 10.1103/PhysRevD.57.7570

Conformal symmetry and the chiral anomaly

Joshua Erlich
(
- MIT, LNS
)
,
Daniel Z. Freedman
(
- MIT and
- MIT, LNS
)

- Phys.Rev.D 55 (1997) 6522-6537
•
e-Print:
- hep-th/9611133
•
DOI:
- 10.1103/PhysRevD.55.6522

- Phys.Rev.D 55 5209

Implications of conformal invariance in field theories for general dimensions

H. Osborn
(
- Cambridge U.
)
,
A.C. Petkou
(
- Cambridge U.
)

- Annals Phys. 231 (1994) 311-362
•
e-Print:
- hep-th/9307010
•
DOI:
- 10.1006/aphy.1994.1045

1-25 of 71
1
2
3
25 / page