We consider chiral condensates in SU(2) gauge theory with brokenN=2 supersymmetry and one fundamental flavor in the matter sector. Matter and gaugino condensates are determined by integrating out the adjoint field. The only nonperturbative input is the Affleck-Dine-Seiberg one-instanton superpotential. The results are consistent with those obtained by the ‘integrating in’ procedure. We then cal...

Abstract Conformal higher spin (HS) gravity is a HS extension of Weyl and family local theories, which was put forward by Segal Tseytlin. We propose manifestly covariant coordinate-independent action for these theories. The result based on an interplay between symmetries deformation quantization: locally equivalent but background-independent reformulation, known as the parent system, off-shell ...

Superstring theory has continued to develop at a rapid clip in the past few years. Following a quick review of some of the major discoveries prior to 1998, this talk focuses on a few of the more recent developments. The topics I have chosen to present are 1) the use of K-theory to classify conserved charges carried by D-branes; 2) tachyon condensation on unstable D-brane systems; and 3) an intr...

The behavior of the finite-temperature C-function, defined by Neto and Fradkin [Nucl. Phys. B 400, 525 (1993)], is analyzed within a d-dimensional exactly solvable lattice model, recently proposed by Vojta [Phys. Rev. B 53, 710 (1996)], which is of the same universality class as the quantum nonlinear O(n) sigma model in the limit n → ∞. The scaling functions of C for the cases d = 1 (absence of...

We study the gauge dependence of the fermion propagator in quenched QED3, with and without dynamical symmetry breaking, in the light of its Landau-Khalatnikov-Fradkin transformation (LKFT). In the former case, starting with the massive bare propagator in the Landau gauge, we obtain non perturbative propagator in an arbitrary covariant gauge. Carrying out a perturbative expansion of this result,...

Two-dimensional quantum gravity is identified as a second-class system which we convert into a first-class system via the Batalin-Fradkin (BF) procedure. Using the extended phase space method, we then formulate the theory in most general class of gauges. The conformal gauge action suggested by David, Distler and Kawai is derived from a first principle. We find a local, light-cone gauge action w...

We present an analysis on the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations of Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory under Batalin-Fradkin-Vilkovisky quantization, both in nonprojectable and projectable cases. obtain that BRST are intimately related to a particular spatial diffeomorphism along one ghost vector fields. show explicitly invariance quantum action nilpotence tra...

Over forty years ago, Paneitz, and independently Fradkin Tseytlin, discovered a fourth-order conformally-invariant differential operator, intrinsically defined on conformal manifold, mapping scalars to scalars. This operator is special case of the so-termed extrinsic Paneitz in when manifold itself conformally embedded hypersurface. In particular, this encodes obstruction smoothly solving five-...