194 research outputs found
Twistorial versus space--time formulations: unification of various string models
We introduce the D=4 twistorial tensionfull bosonic string by considering the
canonical twistorial 2--form in two--twistor space. We demonstrate its
equivalence to two bosonic string models: due to Siegel (with covariant
worldsheet vectorial string momenta ) and the one with
tensorial string momenta . We show how to obtain in
mixed space-time--twistor formulation the Soroka--Sorokin--Tkach--Volkov (SSTV)
string model and subsequently by harmonic gauge fixing the Bandos--Zheltukhin
(BZ) model, with constrained spinorial coordinates.Comment: RevTex4,APS, 4 pages. The version which appears in Phys. Rev.
Purely twistorial string with canonical twistor field quantization
We introduce new purely twistorial scale-invariant action describing the
composite bosonic D=4 Nambu-Goto string with target space parametrized by the
pair of D=4 twistors. We show that by suitable gauge fixing of local scaling
one gets the bilinear twistorial action and canonical quantization rules for
the two-dimensional twistor-string fields. We consider the Poisson brackets of
all constraints characterizing our model and we obtain four first class
constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody
(KM) local phase transformations.Comment: v3: 6p.(extended version), in press in Physical Review
New Super Calogero Models and OSp(4|2) Superconformal Mechanics
We report on the new approach to constructing superconformal extensions of
the Calogero-type systems with an arbitrary number of involved particles. It is
based upon the superfield gauging of non-abelian isometries of some
supersymmetric matrix models. Among its applications, we focus on the new N=4
superconformal system yielding the U(2) spin Calogero model in the bosonic
sector, and the one-particle case of this system, which is a new OSp(4|2)
superconformal mechanics with non-dynamical U(2) spin variables. The
characteristic feature of these models is that the strength of the conformal
inverse-square potential is quantized.Comment: 12 pages, talk presented by E.Ivanov at the XIII International
Conference "Symmetry Methods in Physics", Dubna, July 6-9, 200
Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
We consider a relativistic particle model in an enlarged relativistic phase
space M^{18} = (X_\mu, P_\mu, \eta_\alpha, \oeta_\dalpha, \sigma_\alpha,
\osigma_\dalpha, e, \phi), which is derived from the free two-twistor dynamics.
The spin sector variables (\eta_\alpha, \oeta_\dalpha, \sigma_\alpha,\
osigma_\dalpha) satisfy two second class constraints and account for the
relativistic spin structure, and the pair (e,\phi) describes the electric
charge sector. After introducing the Liouville one-form on M^{18}, derived by a
non-linear transformation of the canonical Liouville one-form on the
two-twistor space, we analyze the dynamics described by the first and second
class constraints. We use a composite orthogonal basis in four-momentum space
to obtain the scalars defining the invariant spin projections. The
first-quantized theory provides a consistent set of wave equations, determining
the mass, spin, invariant spin projection and electric charge of the
relativistic particle. The wavefunction provides a generating functional for
free, massive higher spin fields.Comment: FTUV-05-0919, IFIC-05-46, IFT UWr 0110/05. Plain latex file, no
macros, 22 pages. A comment and references added. To appear in PRD1
Dynamical supersymmetry of spin particle-magnetic field interaction
We study the super and dynamical symmetries of a fermion in a monopole
background. The Hamiltonian also involves an additional spin-orbit coupling
term, which is parameterized by the gyromagnetic ratio. We construct the
superinvariants associated with the system using a SUSY extension of a
previously proposed algorithm, based on Grassmann-valued Killing tensors.
Conserved quantities arise for certain definite values of the gyromagnetic
factor: SUSY requires ; a Kepler-type dynamical symmetry only
arises, however, for the anomalous values and . The two anomalous
systems can be unified into an SUSY system built by doubling the number
of Grassmann variables. The planar system also exhibits an supersymmetry
without Grassmann variable doubling.Comment: 23 page
Generalization of the Bargmann-Wigner construction for infinite spin fields
We develop a generalization of the Wigner scheme for constructing the
relativistic fields corresponding to irreducible representations of the
four-dimensional Poincar\'{e} group with infinite spin. The fields are
parameterized by a vector and an additional commuting vector or spinor
variable. The equations of motion for fields of infinite spin are derived in
both formulations under consideration.Comment: 1+29 pages, v2: typos correcte
Lagrangian formulation for free infinite spin field
We construct a Lagrangian that describes the dynamics of a six-dimensional
free infinite (continuous) spin field in Minkowski space. The Lagrangian
is formulated in the framework of the BRST approach to higher spin field theory
and is based on a system of constraints defining an irreducible representation
of the corresponding Poincar\'e group. The field realization of generators in
the Poincar\'e algebra and the second-, fourth-, and sixth-order Casimir
operators are obtained in explicit form using additional spinor coordinates.
Specific aspects of such a realization in six dimensions are discussed. We
derive the conditions that determine the irreducible representation
infinite spin field and reformulate them as operators in the Fock space forming
a first-class algebra in terms of commutators. These operators are used to
construct the BRST charge and the corresponding Lagrangian. We prove that the
conditions of the irreducible representation are reproduced as the consequence
of the Lagrangian equations of motion, which finally provides the correctness
of the results obtained
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