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M-theory on Calabi-Yau Five-Folds

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Title: M-theory on Calabi-Yau Five-Folds
Authors: Haupt, AS
Lukas, A
Stelle, KS
Item Type: Journal Article
Abstract: We study the compactification of M-theory on Calabi-Yau five-folds and the resulting Script N = 2 super-mechanics theories. By explicit reduction from 11 dimensions, including both bosonic and fermionic terms, we calculate the one-dimensional effective action and show that it can be derived from an Script N = 2 super-space action. We find that the Kähler and complex structure moduli of the five-fold reside in 2a and 2b super-multiplets, respectively. Constrained 2a super-multiplets arise from zero-modes of the M-theory three-form and lead to cross-couplings between 2a and 2b multiplets. Fermionic zero modes which arise from the (1,3) sector of the 11-dimensional gravitino do not have bosonic super-partners and have to be described by purely fermionic super-multiplets in one dimension. We also study the inclusion of flux and discuss the consistency of the scalar potential with one-dimensional Script N = 2 supersymmetry and how it can be described in terms of a superpotential. This superpotential can also be obtained from a Gukov-type formula which we present. Supersymmetric vacua, obtained by solving the F-term equations, always have vanishing vacuum energy due to the form of this scalar potential. We show that such supersymmetric solutions exist for particular examples. Two substantial appendices develop the topology and geometry of Calabi-Yau five-folds and the structure of one-dimensional Script N = 2 supersymmetry and supergravity to the level of generality required for our purposes.
Issue Date: 18-May-2009
Date of Acceptance: 11-May-2009
URI: http://hdl.handle.net/10044/1/78859
DOI: 10.1088/1126-6708/2009/05/069
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Start Page: 1
End Page: 82
Journal / Book Title: The Journal of High Energy Physics
Volume: 2009
Issue: 5
Copyright Statement: © SISSA 2009. This is an author-created, un-copyedited version of an article accepted for publication in Journal of High Energy Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at https://doi.org/10.1088/1126-6708/2009/05/069
Sponsor/Funder: Science and Technology Facilities Council (STFC)
Funder's Grant Number: ST/G000743/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
M-Theory
Flux compactifications
Field Theories in Lower Dimensions
Superspaces
11-DIMENSIONAL SUPERGRAVITY
AUXILIARY FIELDS
ONE-LOOP
SUPERSPACE FORMULATION
EXTENDED SUPERGRAVITY
ANOMALY CANCELLATION
N=2 SUPERGRAVITY
11 DIMENSIONS
U-MANIFOLDS
CONSTRAINTS
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
M-Theory
Flux compactifications
Field Theories in Lower Dimensions
Superspaces
11-DIMENSIONAL SUPERGRAVITY
AUXILIARY FIELDS
ONE-LOOP
SUPERSPACE FORMULATION
EXTENDED SUPERGRAVITY
ANOMALY CANCELLATION
N=2 SUPERGRAVITY
11 DIMENSIONS
U-MANIFOLDS
CONSTRAINTS
hep-th
hep-th
0105 Mathematical Physics
0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
0206 Quantum Physics
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 069
Online Publication Date: 2009-05-18
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences