4,682 research outputs found
Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of
the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of
freedom we construct the Pohlmeyer-reduced version of the corresponding sigma
model. The Pohlmeyer reduction procedure involves several steps. Starting with
a coset space string sigma model in the conformal gauge and writing the
classical equations in terms of currents one can fix the residual conformal
diffeomorphism symmetry and kappa-symmetry and introduce a new set of variables
(related locally to currents but non-locally to the original string coordinate
fields) so that the Virasoro constraints are automatically satisfied. The
resulting gauge-fixed equations can be obtained from a Lagrangian of a
non-abelian Toda type: a gauged WZW model with an integrable potential coupled
also to a set of 2d fermionic fields. A gauge-fixed form of the
Pohlmeyer-reduced theory can be found by integrating out the 2d gauge field of
the gauged WZW model. Its small-fluctuation spectrum contains 8 bosonic and 8
fermionic degrees of freedom with equal masses. We conjecture that the reduced
model has world-sheet supersymmetry and is ultraviolet-finite. We show that in
the special case of the AdS_2 x S^2 superstring model the reduced theory is
indeed supersymmetric: it is equivalent to the N=2 supersymmetric extension of
the sine-Gordon model.Comment: 56 pages. v2: section 6.4 expanded with comments on mass spectrum and
the corresponding S-matrix; v3,v4: minor corrections and clarifications adde
On conformal higher spins in curved background
We address the question of how to represent an interacting action for the
tower of conformal higher spin fields in a form covariant with respect to a
background metric. We use a background metric to define a star product which
plays a central role in the definition of the corresponding gauge
transformations. By an analogy with the kinetic term in the 4-derivative Weyl
gravity action expanded near an on-shell background one expects that the
kinetic term in such an action should be gauge-invariant in a Bach-flat metric.
We demonstrate this fact to first order in expansion in powers of the curvature
of the background metric. This generalizes the result of arXiv:1404.7452 for
spin 3 case to all conformal higher spins. We also comment on a possibility of
extending this claim to terms quadratic in the curvature and discuss the
appearance of background-dependent mixing terms in the quadratic part of the
conformal higher spin action.Comment: 24 pages. v2,v3: minor corrections and remarks adde
BRST-anti-BRST Symmetric Conversion of Second-Class Constraints
A general method of the BRST--anti-BRST symmetric conversion of second-class
constraints is presented. It yields a pair of commuting and nilpotent BRST-type
charges that can be naturally regarded as BRST and anti-BRST ones.
Interchanging the BRST and anti-BRST generators corresponds to a symmetry
between the original second-class constraints and the conversion variables,
which enter the formalism on equal footing.Comment: 12 pages, misprints correcte
BRST Formalism and Zero Locus Reduction
In the BRST quantization of gauge theories, the zero locus of the BRST
differential carries an (anti)bracket whose parity is opposite to that of
the fundamental bracket. We show that the on-shell BFV/BV gauge symmetries are
in a 1:1 correspondence with Hamiltonian vector fields on , and
observables of the BRST theory are in a 1:1 correspondence with characteristic
functions of the bracket on . By reduction to the zero locus, we obtain
relations between bracket operations and differentials arising in different
complexes (the Gerstenhaber, Schouten, Berezin-Kirillov, and Sklyanin
brackets); the equation ensuring the existence of a nilpotent vector field on
the reduced manifold can be the classical Yang-Baxter equation. We also
generalize our constructions to the bi-QP-manifolds which from the BRST theory
viewpoint corresponds to the BRST-anti-BRST-symmetric quantization.Comment: 21 pages, latex2e, several modifications have been made, main content
remains unchange
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