411 research outputs found
Laboratory tests of Lorentz and symmetry with muons
The prospects are explored for testing Lorentz and symmetry in the muon sector via the spectroscopy of muonium and various muonic atoms, and via measurements of the anomalous magnetic moments of the muon and antimuon. The effects of Lorentz-violating operators of both renormalizable and nonrenormalizable dimensions are included. We derive observable signals, extract first constraints from existing data on a variety of coefficients for Lorentz and violation, and estimate sensitivities attainable in forthcoming experiments. The potential of Lorentz violation to resolve the proton radius puzzle and the muon anomaly discrepancy is discussed
Dyonic Integrable Models
A class of non abelian affine Toda models arising from the axial gauged
two-loop WZW model is presented. Their zero curvature representation is
constructed in terms of a graded Kac-Moody algebra. It is shown that the
discrete multivacua structure of the potential together with non abelian nature
of the zero grade subalgebra allows soliton solutions with non trivial electric
and topological charges.
The dressing transformation is employed to explicitly construct one and two
soliton solutions and their bound states in terms of the tau functions. A
discussion of the classical spectra of such solutions and the time delays are
given in detail.Comment: Latex 30 pages, corrected some typo
T-duality of axial and vector dyonic integrable models
A general construction of affine Non Abelian (NA) - Toda models in terms of
axial and vector gauged two loop WZNW model is discussed. They represent {\it
integrable perturbations} of the conformal -models (with tachyons
included) describing (charged) black hole type string backgrounds. We study the
{\it off-critical} T-duality between certain families of axial and vector type
of integrable models for the case of affine NA- Toda theories with one global
U(1) symmetry. In particular we find the Lie algebraic condition defining a
subclass of {\it T-selfdual} torsionless NA Toda models and their zero
curvature representation.Comment: 20 pages, latex, no figures,improvments in the text of Sects.1,2 and
6;typos corrected,references added, to appear in Ann. of Physics (NY
Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies
The discrete models of the Toda and Volterra chains are being constructed out
of the continuum two-boson KP hierarchies. The main tool is the discrete
symmetry preserving the Hamiltonian structure of the continuum models. The
two-boson currents of KP hierarchy are being associated with sites of the
corresponding chain by successive actions of discrete symmetry.Comment: 12 pgs, LaTeX, IFT-P.041/9
A symmetry reduction technique for higher order Painlev\'e systems
The symmetry reduction of higher order Painlev\'e systems is formulated in
terms of Dirac procedure.
A set of canonical variables that admit Dirac reduction procedure is proposed
for Hamiltonian structures governing the and
Painlev\'e systems for .Comment: to appear in Phys. Lett.
Some comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies
We give the correct prescriptions for the terms involving the inverse of the
derivative of the delta function, in the Hamiltonian structures of the AKNS and
DNLS systems, in order for the Jacobi identities to hold. We also establish
that the sl(2) AKNS and DNLS systems are tri-Hamiltonians and construct two
compatible Hamiltonian structures for the sl(3) AKNS system. We also give a
derivation of the recursion operator for the sl(n+1) DNLS system.Comment: 10 pages, LaTe
On Non-Linear W-Infinity Symmetry of Generalized Liouville and Conformal Toda Models
Invariance under non-linear algebra is shown for
the two-boson Liouville type of model and its algebraic generalizations, the
extended conformal Toda models. The realization of the corresponding generators
in terms of two boson currents within KP hierarchy is presented.Comment: 10 pgs, LaTeX, IFT-P.038/9
Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models
A systematic construction for an action describing a class of supersymmetric
integrable models as well as for pure fermionic theories is discussed in terms
of the gauged WZNW model associated to twisted affine Kac-Moody algebras.
Explicit examples of the super sinh(sine)-Gordon models are discussed
in detail. Pure fermionic theories arises for cosets when a maximal kernel condition is fulfilled. The integrability condition
for such models is discussed and it is shown that the simplest example when
leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive and
pseudo-scalar massless Gross-Neveu models.Comment: 28 pages, latex, added referenc
Hirota's Solitons in the Affine and the Conformal Affine Toda Models
We use Hirota's method formulated as a recursive scheme to construct complete
set of soliton solutions for the affine Toda field theory based on an arbitrary
Lie algebra. Our solutions include a new class of solitons connected with two
different type of degeneracies encountered in the Hirota's perturbation
approach. We also derive an universal mass formula for all Hirota's solutions
to the Affine Toda model valid for all underlying Lie groups. Embedding of the
Affine Toda model in the Conformal Affine Toda model plays a crucial role in
this analysis.Comment: 36 pages, LaTe
Multicharged Dyonic Integrable Models
We introduce and study new integrable models of A_n^{(1)}-Non-Abelian Toda
type which admit U(1)\otimes U(1) charged topological solitons. They correspond
to the symmetry breaking SU(n+1) \to SU(2)\otimes SU(2)\otimes U(1)^{n-2} and
are conjectured to describe charged dyonic domain walls of N=1 SU(n+1) SUSY
gauge theory in large n limit.
It is shown that this family of relativistic IMs corresponds to the first
negative grade q={-1} member of a dyonic hierarchy of generalized cKP type. The
explicit relation between the 1-soliton solutions (and the conserved charges as
well) of the IMs of grades q=-1 and q=2 is found. The properties of the IMs
corresponding to more general symmetry breaking SU(n+1) \to SU(2)^{\otimes
p}\otimes U(1)^{n-p} as well as IM with global SU(2) symmetries are discussed.Comment: 48pages, latex, v2. typos in eqns. (1.7) and (3.20) corrected, small
improvements in subsection 2.2, new reference added;v3. improvements in text
of Sect. 1,2 and 6; new Sect 7 and new refs. added; version to appear in
Nucl. Phys.
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