463 research outputs found
On the Geometry of Sculpting-like Gauging Processes
Recently, a new gauging procedure called Sculpting mechanism was proposed to
obtain the M-theory origin of type II gauged Supergravity theories in 9D. We
study this procedurein detail and give a better understanding of the different
deformations and changes in fiber bundles, that are able to generate new
relevant physical gauge symmetries in the theory. We discuss the geometry
involved in the standard approach (Noether-like) and in the new Scultping-like
one and comment on possible new applications.Comment: 9 pages, latex, Notation and typos reviewed, more clear explanations,
results unchange
On the Spectral properties of Multi-branes, M2 and M5 branes
In this note we summarize some of the properties found in several papers. We
characterize spectral properties of the quantum mechanical hamiltonian of
theories with fermionic degrees of freedom beyond semiclassical approximation.
We obtain a general class of bosonic polynomial potentials for which the
Schr\"oedinger operator has a discrete spectrum. This class includes all the
scalar potentials in membrane, 5-brane, p-branes, multiple M2 branes, BLG and
ABJM theories. We also give a sufficient condition for discreteness of the
spectrum for supersymmmetric and non supersymmetric theories with a fermionic
contribution. We characterize then the spectral properties of different
theories: the BMN matrix model, the supermembrane with central charges and a
bound state of D2 with D0. We show that, while the first two models
have a purely discrete spectrum with finite multiplicity, the latter has a
continuous spectrum starting from a constant given in terms of the monopole
charge.Comment: 10pg, Latex, Contributions to the Conference XVI European Workshop on
String Theory 2010, Madrid June 14-18, 201
Spectral properties in supersymmetric matrix models
We formulate a general sufficiency criterion for discreteness of the spectrum
of both supersymmmetric and non-su-persymmetric theories with a fermionic
contribution. This criterion allows an analysis of Hamiltonians in complete
form rather than just their semiclassical limits. In such a framework we
examine spectral properties of various (1+0) matrix models. We consider the BMN
model of M-theory compactified on a maximally supersymmetric pp-wave
background, different regularizations of the supermembrane with central charges
and a non-supersymmetric model comprising a bound state of N D2 with m D0.
While the first two examples have a purely discrete spectrum, the latter has a
continuous spectrum with a lower end given in terms of the monopole charge.Comment: 40 pages, 5 figure
Arguments towards the construction of a matrix model groundstate
We discuss the existence and uniqueness of wavefunctions for inhomogenoeus
boundary value problems associated to x^2y^2-type matrix model on a bounded
domain of R^2. Both properties involve a combination of the Cauchy-Kovalewski
Theorem and a explicit calculations.Comment: 3 pages, Latex Proceedings for the XIX Simposio Chileno de Fisica,
SOCHIFI 2014 Conference, 26-28 November 2014, held at Concepcion U., Chil
On the groundstate of octonionic matrix models in a ball
In this work we examine the existence and uniqueness of the groundstate of a
SU(N)x G2 octonionic matrix model on a bounded domain of R^N. The existence and
uniqueness argument of the groundstate wavefunction follows from the
Lax-Milgram theorem. Uniqueness is shown by means of an explicit argument which
is drafted in some detail.Comment: Latex, 6 page
The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
The spectrum of the bosonic sector of the D=11 supermembrane with central
charges is shown to be discrete and with finite multiplicities, hence
containing a mass gap. The result extends to the exact theory our previous
proof of the similar property for the SU(N) regularised model and strongly
suggest discreteness of the spectrum for the complete Hamiltonian of the
supermembrane with central charges. This theory is a quantum equivalent to a
symplectic non-commutative super-Yang-Mills in 2+1 dimensions, where the
space-like sector is a Riemann surface of positive genus. In this context, it
is argued how the theory in 4D exhibits confinement in the N=1 supermembrane
with central charges phase and how the theory enters in the quark-gluon plasma
phase through the spontaneous breaking of the centre. This phase is interpreted
in terms of the compactified supermembrane without central charges.Comment: 33 pages, Latex. In this new version, several changes have been made
and various typos were correcte
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