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http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Large N Field Theories, String Theory and Gravity

To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject But it is a very good and most useful book The original was written in German and appeared in 1942 This is a translation with some minor changes A few remarks have been added, concerning meson theory and nuclear forces, also footnotes referring to modern work in this field, and finally an appendix on the symmetrization of the energy momentum tensor according to Belinfante Quantum Theory of Fields Prof Gregor Wentzel Translated from the German by Charlotte Houtermans and J M Jauch Pp ix + 224, (New York and London: Interscience Publishers, Inc, 1949) 36s

Quantum Theory of Fields

This article reviews the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.

Noncommutative field theory

Superstring theoryをめぐって(放談室)

We derive an energy bound for a `baryonic' D5-brane probe in the AdS5 ? S5 background near the horizon of N D3-branes. Configurations saturating the bound are shown to be 1/4 supersymmetric S5-wrapped D5-branes, with a total Born-Infeld charge N. Previous results are recovered as a special case. We derive a similar energy bound for a `baryonic' M5-brane probe in the background of N M5-branes. Configurations saturating the bound are again 1/4 supersymmetric and, in the AdS7 ? S4 near-horizon limit, provide a worldvolume realization of the `baryon string' vertex of the (2,0)-supersymmetric six-dimensional conformal field theory on coincident M5-branes. For the full M5-background we find a worldvolume realization of the Hanany-Witten effect in M-theory.

Supersymmetric baryonic branes

We derive new actions for the bosonic p-brane, super p-brane and the p-brane moving in AdS(dS) space-times using the theory of non-linear realisation without requiring the adoption of any constraints or using superfields. The Goldstone boson associated with the breaking of Lorentz transformations becomes a dynamical field whose equation of motion relates it algebraically to the remaining Goldstone fields.

The construction of brane and superbrane actions using non-linear realisations

It is shown that, for any constrained Hamiltonian system, one can locally construct a complete set of independent gauge transformations that depend only on the canonical coordinates and on arbitrary functions of time. The number of elements in this complete set is equal to the number of primary first-class constraints.

Existence theorem for gauge symmetries in Hamiltonian constrained systems

The Maxwell algebra is a non-central extension of the Poincare algebra, in which the momentum generators no longer commute, but satisfy (P�;P�) = Z�� . The charges Z�� commute with the momenta, and transform tensorially under the action of the angular momentum generators. If one constructs an action for a massive particle, invariant under these symmetries, one finds that it satisfies the equations of motion of a charged particle interacting with a constant electromagnetic field via the Lorentz force. In this paper, we explore the analogous constructions where one starts instead with the ISim subalgebra of Poincare, this being the symmetry algebra of Very Special Relativity. It admits an analogous non-central extension, and we find that a particle action invariant under this Maxwell-Sim algebra again describes a particle subject to the ordinary Lorentz force. One can also deform the ISim algebra to DISimb, where b is a non-trivial dimensionless parameter. We find that the motion described by an action invariant under the corresponding Maxwell- DISim algebra is that of a particle interacting via a Finslerian modification of the Lorentz force. In an appendix is it shown that the DISimb algebra is isomorphic to the extended

/pdf/deforming-the-maxwell-sim-algebra-25yypy8pme.pdf

Deforming the Maxwell-Sim algebra

New results on the theory of constrained systems are applied to characterize the generators of Noether’s symmetry transformations. As a byproduct, an algorithm to construct gauge transformations in Hamiltonian formalism is derived. This is illustrated with two relevant examples.

/pdf/noether-s-theorem-and-gauge-transformations-application-to-54xmegnx53.pdf

Joaquim Gomis

Papers

Supersymmetric baryonic branes

The construction of brane and superbrane actions using non-linear realisations

Existence theorem for gauge symmetries in Hamiltonian constrained systems

Deforming the Maxwell-Sim algebra

Noether’s theorem and gauge transformations: Application to the bosonic string and CP n−12 model