Stueckelberg mechanisms for tensor multiplets and compactification on AdS{sub 3}xS{sup 3}

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085008· OSTI ID:21541528

Nishino, Hitoshi; Rajpoot, Subhash ^[1]

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1. Department of Physics and Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840 (United States)

We present Stueckelberg mechanisms for tensor multiplets coupled to supergravity in four dimensions (4D), six dimensions (6D), and three dimensions (3D). For N=1 supergravity in 4D, our field content is (e{sub {mu}}{sup m},{psi}{sub {mu}}), (B{sub {mu}{nu},{chi}},{phi}) and (A{sub {mu},{lambda}}), respectively, for the supergravity, tensor, and vector multiplets. In our Stueckelberg mechanism, the Abelian vector field A{sub {mu}} is absorbed into the longitudinal component of the tensor B{sub {mu}{nu}}, which becomes massive. The field strength F=dA of A is replaced by F{identical_to}F+mB, where m is a coupling constant with the dimension of mass. In 6D, we utilize the so-called dual version for N=2 supergravity, in order to avoid the obstruction caused by the Chern-Simons term F and A in the B-field strength G. Instead of the F and A-term in G, the 6D Lagrangian has a peculiar topological and cubic interaction term proportional to m{sup -1}F and F and F. In 3D, we also show that a similar mechanism works for N=1 supergravity. Interestingly, the basic structure is parallel to the 4D case, except that the originally nonpropagating field B starts propagating, after absorbing the A-field. We also show a possible compactification of 6D theory on AdS{sub 3}xS{sup 3}.

• OSTI ID: 21541528
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 8; Other Information: DOI: 10.1103/PhysRevD.83.085008; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
COMPACTIFICATION
COUPLING CONSTANTS
INTERACTIONS
LAGRANGIAN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
MASS
MULTIPLETS
SIMULATION
SUPERGRAVITY
TOPOLOGY
VECTOR FIELDS
FIELD THEORIES
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MATHEMATICAL SPACE
MATHEMATICS
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UNIFIED-FIELD THEORIES