M theory on spin(7) manifolds, fluxes and 3-D, N=1 supergravity

Becker, Melanie; Constantin, Dragos; Gates, S.James, Jr.; Linch, William Divine, III; Merrell, Willie; Phillips, J.

doi:10.1016/j.nuclphysb.2004.01.013

M theory on spin(7) manifolds, fluxes and 3-D, N=1 supergravity

Melanie Becker
(
- Maryland U.
)
,
Dragos Constantin
(
- Maryland U.
)
,
S.James Gates, Jr.
(
- Maryland U.
)
,
William Divine Linch, III
(
- Maryland U.
)
,
Willie Merrell
(
- Maryland U.
)

Dec, 2003

37 pages

Published in:

Nucl.Phys.B 683 (2004) 67-104

e-Print:

hep-th/0312040 [hep-th]

DOI:

10.1016/j.nuclphysb.2004.01.013

Report number:

UMD-PP-03-071

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Abstract: (Elsevier)

We calculate the most general causal N =1 three-dimensional, gauge invariant action coupled to matter in superspace and derive its component form using ectoplasmic integration theory. One example of such an action can be obtained by compactifying M -theory on a Spin (7) holonomy manifold taking non-vanishing fluxes into account. We show that the resulting three-dimensional theory is in agreement with the more general construction. The scalar potential resulting from Kaluza–Klein compactification stabilizes all the moduli fields describing deformations of the metric except for the radial modulus. This potential can be written in terms of the superpotential previously discussed in the literature.

Note:

37 pages no figures (LaTeX 2e)

04.65.+e
04.50.+h
11.25.Mj
12.60.Jv
M-theory
holonomy: Spin(7)
compactification
supergravity
flux
dimension: 3

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