1,488 research outputs found
Quantum Kaluza-Klein Compactification
Kaluza--Klein compactification in quantum field theory is analysed from the
perturbation theory viewpoint. Renormalisation group analysis for
compactification size dependence of the coupling constant is proposed.Comment: Latex2e, 10p
Complex Spinors and Unified Theories
In this paper delivered by Murray Gell-Mann at the Stony Brook Supergravity
Workshop in 1979, several paths to unification are discussed, from N=8
supergravity to , , and . Generalizations of to
spinor representations of larger groups are introduced. A natural mechanism for
generating tiny neutrino masses is proposed in the context of , and
finally, focus on rather than or family symmetries is
noted.Comment: Retro-preprint of 1979 paper. Originally published in Supergravity,
P. van Nieuwenhuizen and D.Z. Freedman, eds, North Holland Publishing Co,
197
Program Regulation and the Freedom of Expression: Red Lion\u27s Alive and Well in Canada
freedom of expression--Canada, Red Lion, program regulatin--Canad
K-K excitations on AdS_5 x S^5 as N=4 ``primary'' superfields
We show that the K-K spectrum of IIB string on AdS_5 x S_5 is described by
``twisted chiral'' N=4 superfields, naturally described in ``harmonic
superspace'', obtained by taking suitable gauge singlets polynomials of the
D3-brane boundary SU(n) superconformal field theory. To each p-order polynomial
is associated a massive K-K short representation with 256 x 1/12 p^2(p^2 -1)
states. The p=2 quadratic polynomial corresponds to the ``supercurrent
multiplet'' describing the ``massless'' bulk graviton multiplet.Comment: 11 pages, LaTeX, no figure
On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
We classify possible `self-duality' equations for p-form gauge fields in
space-time dimension up to D=16, generalizing the pioneering work of Corrigan
et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two
crucial requirements. First, there should exist a 2(p+1)-form T invariant under
a sub-group H of SO(D). Second, the representation for the SO(D) curvature of
the gauge field must decompose under H in a relevant way. When these criteria
are fulfilled, the `self-duality' equations can be candidates as gauge
functions for SO(D)-covariant and H-invariant topological quantum field
theories. Intriguing possibilities occur for dimensions greater than 9, for
various p-form gauge fields.Comment: 20 pages, Late
Doubled resonances and unitarity
The constraints of unitarity on a multichannel partial-wave amplitude dominated by two nearby or coincident resonances are derived. The factorization conditions are discussed and used in the solution of these equations. The solutions permit variation in the relative heights of the two peaks in the cross section and variation in the depth of the dip. Single peaks appear in some cross sections, while doubled peaks appear in others. The single peak may be centered at the energy of the dip or displaced to either side, and the amplitude may be imaginary or real at the top of the single peak. The doubled-resonance amplitude is Reggeized and the narrow-width limit is investigated. The amplitude becomes a simple pole with an unfactorizable residue in this limit. Numerical examples of the solutions are also presented
Supercurves
The TST-dual of the general 1/4-supersymmetric D2-brane supertube is
identified as a 1/4-supersymmetric IIA `supercurve': a string with arbitrary
transverse displacement travelling at the speed of light. A simple proof is
given of the classical upper bound on the angular momentum, which is also
recovered as the semi-classical limit of a quantum bound. The classical bound
is saturated by a `superhelix', while the quantum bound is saturated by a
bosonic oscillator state in a unique SO(8) representation.Comment: 1+14 pages, LaTe
Notes on Equivalences and Higgs Branches in N=2 Supersymmetric Yang-Mills Theory
In this paper we investigate how various equivalences between effective field
theories of SUSY Yang-Mills theory with matter can be understood through
Higgs breaking, i.e. by giving expectation values to squarks. We give explicit
expressions for the flat directions for a wide class of examples.Comment: 11 pages, Late
Solving Gauge Invariant Systems without Gauge Fixing: the Physical Projector in 0+1 Dimensional Theories
The projector onto gauge invariant physical states was recently constructed
for arbitrary constrained systems. This approach, which does not require gauge
fixing nor any additional degrees of freedom beyond the original ones---two
characteristic features of all other available methods for quantising
constrained dynamics---is put to work in the context of a general class of
quantum mechanical gauge invariant systems. The cases of SO(2) and SO(3) gauge
groups are considered specifically, and a comprehensive understanding of the
corresponding physical spectra is achieved in a straightforward manner, using
only standard methods of coherent states and group theory which are directly
amenable to generalisation to other Lie algebras. Results extend by far the few
examples available in the literature from much more subtle and delicate
analyses implying gauge fixing and the characterization of modular space.Comment: 32 pages, LaTeX fil
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