946 research outputs found
Entropy of Pairs of Dual Attractors in 6D/7D
We study the attractor mechanism of dual pairs of black brane bounds in N=2
supergravity in six and seven dimensions. First, we consider the effective
potentials of the 6D and 7D black branes as well as their entropies. The
contribution coming from the SO(1,1) factor of the moduli spaces M_{6D} and
M_{7D} of these theories is carefully analyzed and it is used to motivate the
study of the dual black branes bounds; which in turn allow to fix the critical
value of the dilaton at horizon. The attractor eqs of the black branes and the
bound pairs are derived by combining the criticality conditions of the
corresponding effective potentials and the Lagrange multiplier method capturing
constraints eqs on the fields moduli.Comment: 55 pages, 2 figures, To appear in JHE
HyperKhaler Metrics Building and Integrable Models
Methods developed for the analysis of integrable systems are used to study
the problem of hyperK\"ahler metrics building as formulated in D=2 N=4
supersymmetric harmonic superspace. We show, in particular, that the constraint
equation and its
Toda like generalizations are integrable. Explicit solutions together with the
conserved currents generating the symmetry responsible of the integrability of
these equations are given. Other features are also discussedComment: Latex file, 12 page
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