The general form of N = 2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in that we use a coordinate independent and manifestly symplectic covariant formalism which allows to cover theories difficult to formulate within superspace or tensor calculus approach. We provide the complete lagrangian and supersymmetry variations with all fermionic terms, and the form of the scalar potential for arbitrary quaternionic manifolds and special geometry, not necessarily in special coordinates. Lagrangians for rigid theories are also written in this general setting and the connection with local theories elucidated. The derivation of these results using geometrical techniques is briefly summarized.
All rights reserved. This boolc, or parts tlwreof, may 1101 be reproduced in any form orhyanymeans,electronicormechanit:lll,incllldifllphatocopying,recordingorany information storage and retrieWJI system IIOW ki!Own or to be invented, without written pcrmissiOfl from tlw Publislwr.ISBN 9971-S0-037-X (set) Printed in Singapore by Loi Printing Pte. Ltd. v PREFACEIn our hopes the present book is a self-contained account of the theory of supergravity and of the theory of superstrings. It is meant to be both introductory and advanced, this feature explaining its considerable length.The authors' views on the relevance of the whole subject can be related in a few words. On one hand we feel that reconciling quantum mechanics with general relativity is a logical necessity one cannot overlook, while trying to explain the structure of the other interactions. As far as we know the only serious candidate for a quantum theory of the graviton is superstring theory, whose low-energy approximation is supergravity. On the other hand, provided Higgs fields are necessary to explain spontaneous symmetry breaking, the only satisfactory solution of the gauge hierarchy problem seems to be given by spontaneously broken local supersymmetry. From the two opposite sides ofthe energy scale we come to the same suggestion: particle physics phenomenology should be described in terms of an effective supergravity model.Whether such views are supported by experimental evidence is a question that might be answered in the near future as soon as the LEP machine becomes operational.In any case it should be stressed that supersymmetry is a profound symmetry principle, with far reaching implications: it has the same standpoint as the principle of general covariance and, similarly, it provides an extremely elegant framework for the formulation of the laws of Nature.Furthermore, the structure of these theories encompasses so many different aspects and it is so ramified that they will continue to be interesting theoretical laboratories in many respects.We have chosen to present the whole subject in a systematic way, aiming more at the basic principles than at the specific applications: however the eventual use of the theory for the construction of a realistic model, describing particle phenomenology, has been our constant motivation directing our choices.We have tried to be exhaustive in the discussion of the different mechanisms, and models, but not in covering the various formalisms that have been historically utilized to derive the various results. Indeed we have presented everything in a unified language emphasizing the underlying geometrical structure. Furthermore, we have included several mathematical chapters, explaining, at each stage of the theory development, the mathematics involved in the construction.The book is divided into three volumes and six parts. The first volume introduces the geometric and algebraic foundations of supergravity (Parts One and Two, respectively). The second volume is devoted to the construction of supergravity ...
We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 with. From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CF T correspondence, by comparison between various shortenings of SU (2, 2|1) supermultiplets on AdS 5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.
We consider generic features of eleven dimensional supergravity compactified down to five dimensions on an arbitrary Calabi-Yau threefold.
We report on the formulation of N = 2 D = 4 supergravity coupled to n V abelian vector multiplets in presence of electric and magnetic charges. General formulae for the (moduli dependent) electric and magnetic charges for the n V + 1 gauge fields are given which reflect the symplectic structure of the underlying special geometry. The specification to Type IIB strings compactified on Calabi-Yau manifolds, with gauge group U(1) h 21 +1 is given. We report on the formulation of N = 2, D = 4 supergravity coupled to nV abelian vector multiplets in presence of electric and magnetic charges. General formulae for the (moduli dependent) electric and magnetic charges for the nV + 1 gauge fields are given which reflect the symplectic structure of the underlying special geometry. Model independent sum rules obeyed by these charges are obtained. The specification to Type IIB strings compactified on Calabi-Yau manifolds, with gauge group U (1) h 21 +1 , is given. Contribution to the Proceedings of the
We present the main features of the physics of extremal black holes embedded in supersymmetric theories of gravitation, with a detailed analysis of the attractor mechanism for BPS and non-BPS black-hole solutions in four dimensions.
We show that N = 8 spontaneously broken supergravity in four dimensions obtained by Scherk-Schwarz generalized dimensional reduction can be obtained from a pure four dimensional perspective by gauging a suitable electric subgroup of E 7,7 . Owing to the fact that there are non isomorphic choices of maximal electric subgroups of the U-duality group their gaugings give rise to inequivalent theories. This in particular shows that the Scherk-Schwarz gaugings do not fall in previous classifications of possible gauged N = 8 supergravities. Gauging of flat groups appear in many examples of string compactifications in presence of brane fluxes.
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