543 research outputs found
High Spin Gauge Fields and Two-Time Physics
All possible interactions of a point particle with background
electromagnetic, gravitational and higher-spin fields is considered in the
two-time physics worldline formalism in (d,2) dimensions. This system has a
counterpart in a recent formulation of two-time physics in non-commutative
field theory with local Sp(2) symmetry. In either the worldline or field theory
formulation, a general Sp(2) algebraic constraint governs the interactions, and
determines equations that the background fields of any spin must obey. The
constraints are solved in the classical worldline formalism (h-bar=0 limit) as
well as in the field theory formalism (all powers of h-bar). The solution in
both cases coincide for a certain 2T to 1T holographic image which describes a
relativistic particle interacting with background fields of any spin in (d-1,1)
dimensions. Two disconnected branches of solutions exist, which seem to have a
correspondence as massless states in string theory, one containing low spins in
the zero Regge slope limit, and the other containing high spins in the infinite
Regge slope limit.Comment: LaTeX 22 pages. Typos corrected in version
New Spin-Two Gauged Sigma Models and General Conformal Field Theory
Recently, we have studied the general Virasoro construction at one loop in
the background of the general non-linear sigma model. Here, we find the action
formulation of these new conformal field theories when the background sigma
model is itself conformal. In this case, the new conformal field theories are
described by a large class of new spin-two gauged sigma models. As examples of
the new actions, we discuss the spin-two gauged WZW actions, which describe the
conformal field theories of the generic affine-Virasoro construction, and the
spin-two gauged g/h coset constructions. We are able to identify the latter as
the actions of the local Lie h-invariant conformal field theories, a large
class of generically irrational conformal field theories with a local gauge
symmetry.Comment: LaTeX, 28 pages, references and clarifying remarks adde
Exact Effective Action and Spacetime Geometry in Gauged WZW Models
We present an effective quantum action for the gauged WZW model
. It is conjectured that it is valid to all orders of the
central extension on the basis that it reproduces the exact spacetime
geometry of the zero modes that was previously derived in the algebraic
Hamiltonian formalism. Besides the metric and dilaton, the new results that
follow from this approach include the exact axion field and the solution of the
geodesics in the exact geometry. It is found that the axion field is generally
non-zero at higher orders of even if it vanishes at large . We work
out the details in two specific coset models, one non-abelian, i.e.
and one abelian, i.e SL(2,\IR)\otimes
SO(1,1)^{d-2}/SO(1,1). The simplest case SL(2,\IR)/\IR corresponds to a
limit.Comment: 20 pages, harvmac, USC-93/HEP-B1, (The exact general expression for
the dilaton is added in Sec.5
Global Analysis of New Gravitational Singularities in String and Particle Theories
We present a global analysis of the geometries that arise in non-compact
current algebra (or gauged WZW) coset models of strings and particles
propagating in curved space-time. The simplest case is the 2d black hole. In
higher dimensions these geometries describe new and much more complex
singularities. For string and particle theories (defined in the text) we
introduce general methods for identifying global coordinates and give the
general exact solution for the geodesics for any gauged WZW model for any
number of dimensions. We then specialize to the 3d geometries associated with
(and also ) and discuss in detail the global
space, geodesics, curvature singularities and duality properties of this space.
The large-small (or mirror) type duality property is reformulated as an
inversion in group parameter space. The 3d global space has two topologically
distinct sectors, with patches of different sectors related by duality. The
first sector has a singularity surface with the topology of ``pinched double
trousers". It can be pictured as the world sheet of two closed strings that
join into a single closed string and then split into two closed strings, but
with a pinch in each leg of the trousers. The second sector has a singularity
surface with the topology of ``double saddle", pictured as the world sheets of
two infinite open strings that come close but do not touch. We discuss the
geodesicaly complete spaces on each side of these surfaces and interpret the
motion of particles in physical terms. A cosmological interpretation is
suggested and comments are mode on possible physical applications.Comment: 31 pages, plus 4 figure
U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2
dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes
the foundation for the field theoretic formulation of Two-Time Physics. This
leads to a remarkable unification of several gauge principles in d dimensions,
including Maxwell, Einstein and high spin gauge principles, packaged together
into one of the simplest fundamental gauge symmetries in noncommutative quantum
phase space in d+2 dimensions. A gauge invariant action is constructed and its
nonlinear equations of motion are analyzed. Besides elegantly reproducing the
first quantized worldline theory with all background fields, the field theory
prescribes unique interactions among the gauge fields. A matrix version of the
theory, with a large N limit, is also outlinedComment: 24 pages, LaTe
On possible generalization of the superstring action to eleven dimensions
We suggest a D=11 super Poincar\'e invariant action for the superstring which
has free dynamics in the physical variables sector. Instead of the standard
approach based on the searching for an action with local -symmetry (or,
equivalently, with corresponding first class constraints), we propose a theory
with fermionic constraints of second class only. Then the -symmetry and
the well known -matrix identities are not necessary for the
construction. Thus, at the classical level, the superstring action of the type
described can exist in any spacetime dimensions and the known brane-scan can be
revisited.Comment: 23 pages, RevTex file, to be published in Phys. Rev.
Summing Over Inequivalent Maps in the String Theory Interpretation of Two Dimensional QCD
Following some recent work by Gross, we consider the partition function for
QCD on a two dimensional torus and study its stringiness. We present strong
evidence that the free energy corresponds to a sum over branched surfaces with
small handles mapped into the target space. The sum is modded out by all
diffeomorphisms on the world-sheet. This leaves a sum over disconnected classes
of maps. We prove that the free energy gives a consistent result for all smooth
maps of the torus into the torus which cover the target space times, where
is prime, and conjecture that this is true for all coverings. Each class
can also contain integrations over the positions of branch points and small
handles which act as ``moduli'' on the surface. We show that the free energy is
consistent for any number of handles and that the first few leading terms are
consistent with contributions from maps with branch points.Comment: 17 pages, 5 eps figures contained in a uuencoded file, UVA-HET-92-1
Considerations on Super Poincare Algebras and their Extensions to Simple Superalgebras
We consider simple superalgebras which are a supersymmetric extension of
\fspin(s,t) in the cases where the number of odd generators does not exceed
64. All of them contain a super Poincar\'e algebra as a contraction and another
as a subalgebra. Because of the contraction property, some of these algebras
can be interpreted as de Sitter or anti de Sitter superalgebras. However, the
number of odd generators present in the contraction is not always minimal due
to the different splitting properties of the spinor representations under a
subalgebra. We consider the general case, with arbitrary dimension and
signature, and examine in detail particular examples with physical implications
in dimensions and .Comment: 16 pages, AMS-LaTeX. Version to appear in the Reviews in Mathematical
Physic
Fermionic Ghosts in Moyal String Field Theory
We complete the construction of the Moyal star formulation of bosonic open
string field theory (MSFT) by providing a detailed study of the fermionic ghost
sector. In particular, as in the case of the matter sector, (1) we construct a
map from Witten's star product to the Moyal product, (2) we propose a
regularization scheme which is consistent with the matter sector and (3) as a
check of the formalism, we derive the ghost Neumann coefficients algebraically
directly from the Moyal product. The latter satisfy the Gross-Jevicki nonlinear
relations even in the presence of the regulator, and when the regulator is
removed they coincide numerically with the expression derived from conformal
field theory. After this basic construction, we derive a regularized action of
string field theory in the Siegel gauge and define the Feynman rules. We give
explicitly the analytic expression of the off-shell four point function for
tachyons, including the ghost contribution. Some of the results in this paper
have already been used in our previous publications. This paper provides the
technical details of the computations which were omitted there.Comment: 65 pages, typos correcte
Lie Superalgebras and the Multiplet Structure of the Genetic Code II: Branching Schemes
Continuing our attempt to explain the degeneracy of the genetic code using
basic classical Lie superalgebras, we present the branching schemes for the
typical codon representations (typical 64-dimensional irreducible
representations) of basic classical Lie superalgebras and find three schemes
that do reproduce the degeneracies of the standard code, based on the
orthosymplectic algebra osp(5|2) and differing only in details of the symmetry
breaking pattern during the last step.Comment: 34 pages, 9 tables, LaTe
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