On a supersymmetric completion of the R4 term in 2B supergravity

de Haro, Sebastian; Sinkovics, Annamaria; Skenderis, Kostas

doi:10.1103/PhysRevD.67.084010

On a supersymmetric completion of the R4 term in 2B supergravity

Sebastian de Haro
(
- UCLA
)
,
Annamaria Sinkovics
(
- Swansea U. and
- Amsterdam U.
)
,
Kostas Skenderis
(
- Princeton U.
)

Oct, 2002

41 pages

Published in:

Phys.Rev.D 67 (2003) 084010

e-Print:

hep-th/0210080 [hep-th]

DOI:

10.1103/PhysRevD.67.084010

Report number:

UCLA-02-TEP-17,
SWAT-342,
ITFA-2002-38,
PUTP-2043

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Abstract:

We analyze the possibility of constructing a supersymmetric invariant that contains the

R^4

term among its components as a superpotential term in type IIB on-shell superspace. We consider a scalar superpotential, i.e. an arbitrary holomorphic function of a chiral scalar superfield. In general, IIB superspace does not allow for the existence of chiral superfields, but the obstruction vanishes for a specific superfield, the dilaton superfield. This superfield contains all fields of type IIB supergravity among its components, and its existence is implied by the solution of the Bianchi identities. The construction requires the existence of an appropriate chiral measure, and we find an obstruction to the existence of such a measure. The obstruction is closely related to the obstruction for the existence of chiral superfields and is non-linear in the fields. These results imply that the IIB superinvariant related to the

R^4

term is not associated with a scalar chiral superpotential.

04.65.+e
supergravity
dimension: 10
effective action
superpotential
superspace
supersymmetry: transformation
dilaton
bibliography

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