Some cubic couplings in type IIB supergravity on AdS(5) x S**5 and three point functions in SYM(4) at large N

Arutyunov, G.; Frolov, S.

doi:10.1103/PhysRevD.61.064009

Some cubic couplings in type IIB supergravity on AdS(5) x S**5 and three point functions in SYM(4) at large N

G. Arutyunov
(
- Munich U.
)
,
S. Frolov
(
- Alabama U.
)

Jul, 1999

24 pages

Published in:

Phys.Rev.D 61 (2000) 064009

e-Print:

hep-th/9907085 [hep-th]

DOI:

10.1103/PhysRevD.61.064009

Report number:

LMU-TPW-99-12,
UAHEP-99-3

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Abstract:

All cubic couplings in type IIB supergravity on

AdS_5\times S^5

that involve two scalar fields

s^I

that are mixtures of the five form field strength on

S^5

and the trace of the graviton on

S^5

are derived by using the covariant equations of motion and the quadratic action for type IIB supergravity on

AdS_5\times S^5

. All corresponding three-point functions in SYM

_4

are calculated in the supergravity approximation. It is pointed out that the scalars

s^I

correspond not to the chiral primary operators in the

{\cal N}=4

SYM but rather to a proper extension of the operators.

supergravity: action
space-time: anti-de Sitter
dimension: 10
field theory: scalar
graviton
vertex function
gauge field theory: Yang-Mills
dimension: 4
operator: chiral
field theory: tensor

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