1,720,973 research outputs found

    Central charges and Hamiltonians for 0-brane dynamics

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    We consider the general properties of central charges of 0-branes and associated duality invariants, in view of their double role, on the bulk and on the world volume (quantum mechanical) theory. A detailed study of the BPS condition for the mass spectrum arising from toroidal compactifications is given for 1/2, 1/4, and 1/8 BPS states in any dimension. As a by-product, we retrieve the U-duality invariant conditions on the charge (zero mode) spectrum and the orbit classification of BPS states preserving different fractions of supersymmetry. The BPS condition for 0-branes in theories with 16 supersymmetries in any dimension is also discussed

    The quantum chiral Minkowski and conformal superspaces

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    We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincare and conformal quantum supergroups on the quantum Minkowski and quantum conformal superspaces are presented

    ON THE EMBEDDING OF SPACE-TIME SYMMETRIES INTO SIMPLE SUPERALGEBRAS

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    We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so(D2D-2,2), D3D\geq 3. An so(1,1)\rm{so}(1,1) grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so(D2D-2,2), D3D\geq 3. An so(1,1)\rm{so}(1,1) grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework

    Generalized dimensional reduction of supergravity with eight supercharges

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    We describe some recent investigation about the structure of generic D=4,5 theories obtained by generalized dimensional reduction of D=5,6 theories with eight supercharges. We relate the Scherk-Schwarz reduction to a special class of N=2 no-scale gauged supergravities.We describe some recent investigation about the structure of generic D=4,5 theories obtained by generalized dimensional reduction of D=5,6 theories with eight supercharges. We relate the Scherk-Schwarz reduction to a special class of N=2 no-scale gauged supergravities

    The Scherk-Schwarz mechanism as a flux compactification with internal torsion

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    The aim of this paper is to make progress in the understanding of the Scherk-Schwarz dimensional reduction in terms of a compactification in the presence of background fluxes/torsion. From the eleven dimensional supergravity point of view, we find that a general E_{6(6)} S-S phase may by obtained by turning on an appropriate background torsion flux, together with suitable fluxes, some of which can be identified with certain components of the four-form field-strength. Our analysis also suggests the interpretation of the torsion flux as the T-dual of the NS three-form flux.The aim of this paper is to make progress in the understanding of the Scherk-Schwarz dimensional reduction in terms of a compactification in the presence of background fluxes and torsion. From the eleven dimensional supergravity point of view, we find that a general E6(6) S-S phase may be obtained by turning on an appropriate background torsion, together with suitable fluxes, some of which can be directly identified with certain components of the four-form field-strength. Furthermore, we introduce a novel (four dimensional) approach to the study of dualities between flux/torsion compactifications of Type II/M-theory. This approach defines the action that duality should have on the background quantities, in order for the E7(7) invariance of the field equations and Bianchi identities to be restored also in the presence of fluxes/torsion. This analysis further implies the interpretation of the torsion flux as the T-dual of the NS three-form flux

    Symmetry in Mathematics and Physics

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    Si tratta di una conferenza tenutasi presso l'IPAM (Institute for Pure and Applied Mathematics) dell'Universita' della California, Los Angeles 18-20 Gennaio 2008. La conferenza e' stata dedicata alle interazioni tra fisica e matematica sul tema della simmetria, si veda il documento allegato

    Gauged extended supergravity without cosmological constant: No scale structure and supersymmetry breaking

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    We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory compactifications are described.We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory compactifications are described

    On the Super Higgs effect in extended supergravity

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    We consider the reduction of supersymmetry in NN-extended four dimensional supergravity via the super Higgs mechanism. We provide an analysis largely based on the properties of long and short multiplets of Poincar\'e supersymmetry. Examples of the super Higgs phenomenon are realized in spontaneously broken N=8 supergravity through the Scherk-Schwarz mechanism and in superstring compactification in presence of brane fluxes. In many models the massive vectors count the difference in number of the translation isometries of the scalar σ\sigma-model geometries in the broken and unbroken phase.We consider the reduction of supersymmetry in N-extended four dimensional supergravity via the super Higgs mechanism in theories without cosmological constant. We provide an analysis largely based on the properties of long and short multiplets of Poincare' supersymmetry. Examples of the super Higgs phenomenon are realized in spontaneously broken N=8 supergravity through the Scherk-Schwarz mechanism and in superstring compactification in presence of brane fluxes. In many models the massive vectors count the difference in number of the translation isometries of the scalar sigma-model geometries in the broken and unbroken phase.We consider the reduction of supersymmetry in N -extended four-dimensional supergravity via the super-Higgs mechanism in theories without cosmological constant. We provide an analysis largely based on the properties of long and short multiplets of Poincaré supersymmetry. Examples of the super-Higgs phenomenon are realized in spontaneously broken N =8 supergravity through the Scherk–Schwarz mechanism and in superstring compactification in presence of brane fluxes. In many models the massive vectors count the difference in number of the translation isometries of the scalar σ -model geometries in the broken and unbroken phase
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