Iwasawa N=8 attractors

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3501024· OSTI ID:21476574

Cacciatori, Sergio L ^[1]; Cerchiai, Bianca L ^[2]; Marrani, Alessio ^[3]

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1. Dipartimento di Fisica e Matematica, Universita degli Studi dell'Insubria, Via Valleggio 11, 22100 Como (Italy) and INFN, Sezione di Milano, Via Celoria 16, 20133 Milano (Italy)
2. Dipartimento di Matematica, Universita degli Studi di Milano, Via Saldini 50, 20133 Milano (Italy)
3. Department of Physics, Stanford Institute for Theoretical Physics, 382 Via Pueblo Mall, Varian Laboratory, Stanford University, Stanford, California 94305-4060 (United States)

Starting from the symplectic construction of the Lie algebra e{sub 7(7)} due to Adams, we consider an Iwasawa parametrization of the coset (E{sub 7(7)}/SU(8)), which is the scalar manifold of N=8, d=4 supergravity. Our approach, and the manifest off-shell symmetry of the resulting symplectic frame, is determined by a noncompact Cartan subalgebra of the maximal subgroup SL(8,R) of E{sub 7(7)}. In the absence of gauging, we utilize the explicit expression of the Lie algebra to study the origin of (E{sub 7(7)}/SU(8)) as scalar configuration of a (1/8)-BPS extremal black hole attractor. In such a framework, we highlight the action of a U(1) symmetry spanning the dyonic (1/8)-BPS attractors. Within a suitable supersymmetry truncation allowing for the embedding of the Reissner-Noerdstrom black hole, this U(1) action is interpreted as nothing but the global R-symmetry of pure N=2 supergravity. Moreover, we find that the above mentioned U(1) symmetry is broken down to a discrete subgroup Z{sub 4}, implying that all (1/8)-BPS Iwasawa attractors are nondyonic near the origin of the scalar manifold. We can trace this phenomenon back to the fact that the Cartan subalgebra of SL(8,R) used in our construction endows the symplectic frame with a manifest off-shell covariance which is smaller than SL(8,R) itself. Thus, the consistence of the Adams-Iwasawa symplectic basis with the action of the U(1) symmetry gives rise to the observed Z{sub 4} residual nondyonic symmetry.

• OSTI ID: 21476574
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATTRACTORS
BLACK HOLES
DYONS
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MANIFOLDS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SCALARS
SL GROUPS
SU GROUPS
SU-8 GROUPS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED-FIELD THEORIES
UNITARY SYMMETRY