9 research outputs found
A Superspace Formulation for the Master Equation
It is shown that the quantum master equation of the Field Antifield
quantization method at one loop order can be translated into the requirement of
a superfield structure for the action. The Pauli Villars regularization is
implemented in this BRST superspace and the case of anomalous gauge theories is
investigated. The quantum action, including Wess Zumino terms, shows up as one
of the components of a superfield that includes the BRST anomalies in the other
component. The example of W2 quantum gravity is also discussed.Comment: The constrained nature of standard BRST superfields and the
importance of using Alfaro and Damgaard's collective fields in the superspace
approach to avoid undefined superfield derivatives was emphasized. To appear
in Phys. Rev. D. Latex file, 20 page
BRST quantization of anomalous gauge theories
It is shown how the BRST quantization can be applied to a gauge invariant
sector of theories with anomalously broken symmetries. This result is used to
show that shifting the anomalies to a classically trivial sector of fields
(Wess-Zumino mechanism) makes it possible to quantize the physical sector using
a standard BRST procedure, as for a non anomalous theory. The trivial sector
plays the role of a topological sector if the system is quantized without
shifting the anomalies.Comment: 16 pages, latex, revised and enlarged version to appear in Phys.Rev.
A Superspace Formulation of The BV Action for Higher Derivative Theories
We first analyze the anti-BRST and double BRST structures of a certain higher
derivative theory that has been known to possess BRST symmetry associated with
its higher derivative structure. We discuss the invariance of this theory under
shift symmetry in the Batalin Vilkovisky (BV) formalism. We show that the
action for this theory can be written in a manifestly extended BRST invariant
manner in superspace formalism using one Grassmann coordinate.
It can also be written in a manifestly extended BRST invariant manner and
on-shell manifestly extended anti-BRST invariant manner in superspace formalism
using two Grassmann coordinates.Comment: accepted for publication in EPJ
BV formulation of higher form gauge theories in a superspace
We discuss the extended BRST and anti-BRST symmetry (including shift
symmetry) in the Batalin-Vilkovisky (BV) formulation for two and three form
gauge theories. Further we develop the superspace formulation for the BV
actions for these theories. We show that the extended BRST invariant BV action
for these theories can be written manifestly covariant manner in a superspace
with one Grassmann coordinate. On the hand a superspace with two Grassmann
coordinates are required for a manifestly covariant formulation of the extended
BRST and extended anti-BRST invariant BV actions for higher form gauge
theories.Comment: 30 pages, No figure, version to appear in EPJ
First order gauge field theories from a superfield formulation
Recently, Batalin and Marnelius proposed a superfield algorithm for master
actions in the BV-formulation for a class of first order gauge field theories.
Possible theories are determined by a ghost number prescription and a simple
local master equation. We investigate consistent solutions of these local
master equations with emphasis on four and six dimensional theories.Comment: 18 pages, Latex, no figures, references and some comments adde
Twist Deformations of the Supersymmetric Quantum Mechanics
The N-extended Supersymmetric Quantum Mechanics is deformed via an abelian
twist which preserves the super-Hopf algebra structure of its Universal
Enveloping Superalgebra. Two constructions are possible. For even N one can
identify the 1D N-extended superalgebra with the fermionic Heisenberg algebra.
Alternatively, supersymmetry generators can be realized as operators belonging
to the Universal Enveloping Superalgebra of one bosonic and several fermionic
oscillators. The deformed system is described in terms of twisted operators
satisfying twist-deformed (anti)commutators. The main differences between an
abelian twist defined in terms of fermionic operators and an abelian twist
defined in terms of bosonic operators are discussed.Comment: 18 pages; two references adde
String non(anti)commutativity for Neveu-Schwarz boundary conditions
The appearance of non(anti)commutativity in superstring theory, satisfying
the Neveu-Schwarz boundary conditions is discussed in this paper. Both an open
free superstring and also one moving in a background antisymmetric tensor field
are analyzed to illustrate the point that string non(anti)commutativity is a
consequence of the nontrivial boundary conditions. The method used here is
quite different from several other approaches where boundary conditions were
treated as constraints. An interesting observation of this study is that, one
requires that the bosonic sector satisfies Dirichlet boundary conditions at one
end and Neumann at the other in the case of the bosonic variables
being antiperiodic. The non(anti)commutative structures derived in this paper
also leads to the closure of the super constraint algebra which is essential
for the internal consistency of our analysis.Comment: new references added, original article appeared in Int.J.Theor.Phy