COVARIANT QUANTIZATION OF SPINNING SUPERPARTICLES

1990 ◽  
Vol 05 (07) ◽  
pp. 519-524 ◽  
Author(s):  
M. HUQ
Keyword(s):  
Target Space ◽  
Covariant Quantization ◽  
Fixed Action ◽  
Gauge Fixing

We have applied the method of Batalin and Vilkovisky to obtain covariant quantization of massless spinning superparticles in D dimensions with M rigid target space and N local worldline supersymmetries. Appropriate gauge fixing has been introduced to obtain a quadratic gauge fixed action.

COVARIANT QUANTIZATION OF BROKEN TWISTED N=2 SUPERPARTICLE

1992 ◽  
Vol 07 (17) ◽  
pp. 4053-4071 ◽  
Author(s):  
M. HUQ
Keyword(s):  
Infinite Sequence ◽  
Covariant Quantization ◽  
Brst Operator ◽  
Fixed Action ◽  
Gauge Choice

We have considered a superparticle action consisting of an infinite tower of Siegel superparticle actions plus a term breaking all the twisted N=2 supersymmetries down to the required N=1 supersymmetry. With appropriate gauge choice we arrive at a quadratic gauge-fixed action, which naturally possesses an infinite sequence of twisted N=2 supersymmetries, but the BRST operator picks out the correct physical states for the Brink-Casalbuoni-Schwarz superparticle.

Sp(2) INVARIANT BRST FORMALISM, SUPERSYMMETRY AND WESS-ZUMINO GAUGES

1986 ◽  
Vol 01 (02) ◽  
pp. 95-101
Author(s):  
R. DELBOURGO ◽  
P.D. JARVIS ◽  
G. THOMPSON
Keyword(s):  
Gauge Theories ◽  
Field Structure ◽  
Auxiliary Field ◽  
Covariant Quantization ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Supersymmetric Gauge

Covariant quantization of Fermi-Bose supersymmetric gauge theories is formulated within an enlarged superspace (xµ, θα, ξm) with manifest ξ-supertranslation (=extended BRST) and Sp(2) invariance. In Wess-Zumino gauges, the correct ghost and auxiliary field structure emerges by counting arguments for the (N=1) super-Yang-Mills, conformal and Einstein supergravity cases. The super-Yang-Mills case is analyzed in detail for both supercovariant and Wess-Zumino gauge-fixing, with particular emphasis on the Sp(2) assignments of the ghost superfields.

REMARKS ON PROBLEMS OF COVARIANT QUANTIZATION OF SUPERPARTICLE AND SUPERSTRING

1990 ◽  
Vol 05 (19) ◽  
pp. 1505-1509 ◽  
Author(s):  
PARTHASARATHI MAJUMDAR
Keyword(s):  
Nonlinear Interactions ◽  
Covariant Quantization ◽  
Fixed Action ◽  
String Propagation

Inadequacies of the covariant quantization of the superparticle proposed sometime ago are re-examined. It is shown that there exists a nonsingular subset of the set of Nakanishi-Lautrup field redefinitions proposed earlier which renders the (partially) gauge fixed action free of nonlinear interactions. Implications for the free heterotic superstring and the σmodel describing string propagation in curved superspace are discussed.

ON COVARIANT QUANTIZATION OF MASSIVE SUPERPARTICLE WITH FIRST CLASS CONSTRAINTS

1990 ◽  
Vol 05 (31) ◽  
pp. 2669-2674
Author(s):  
M. HUQ
Keyword(s):  
Covariant Quantization ◽  
Gauge Fixing ◽  
Quadratic Action

We use the technique of Batalin and Fradkin to convert the second class fermionic constraints of the massive superparticle into first class constraints. Then the Batalin-Vilkovisky formalism is used to quantize covariantly the resulting theory. Appropriate gauge fixing conditions lead to a completely quadratic action. But the presence of Batalin-Fradkin decoupled components apparently removes the advantage gained from the conversion of second class constraints into first class constraints.

CONFORMAL ANOMALY IN A CONVARIANTLY QUANTIZED HETEROTIC GREEN-SCHWARZ SUPERSTRING

1987 ◽  
Vol 02 (02) ◽  
pp. 145-150 ◽  
Author(s):  
S. RANDJBAR-DAEMI ◽  
ABDUS SALAM ◽  
J.A. STRATHDEE
Keyword(s):  
Minkowski Space ◽  
Operator Product ◽  
Conformal Anomaly ◽  
Covariant Quantization ◽  
Fixed Action ◽  
Space Formulation

The covariant quantization of the heterotic Green-Schwarz superstring action has been considered recently by Romans. We show that his BRST gauge fixed action has a conformal anomaly. We also give a brief review of the Minkowski space formulation of the operator product expansions.

scholarly journals D = 2 STRING THEORY IN TARGET SPACE/WORLDSHEET LIGHT-CONE GAUGE

1994 ◽  
Vol 09 (33) ◽  
pp. 3041-3051
Author(s):  
A. P. ZUBAREV
Keyword(s):  
String Theory ◽  
Light Cone ◽  
Target Space ◽  
Light Cone Gauge ◽  
Physical Spectrum ◽  
Gauge Fixing ◽  
Linear Dilaton ◽  
Matter Fields

The D = 2 free string in the linear dilaton background is considered in the so-called target space/worldsheet light-cone gauge X+ = 0, g++ = 0, g+− = 1. After gauge-fixing, the theory has the residual Virasoro and U(1) current symmetries. The physical spectrum related to the SL 2-invariant vacuum is found to be trivial. We find that the theory has a non-trivial spectrum if the states in different nonequivalent representations ("pictures") of CFT algebra of matter fields are considered.

GRADED GL(1|1) BRST SYMMETRY IN COVARIANT QUANTIZATION OF SUPERSYMMETRIC CHIRAL BOSONS AND HETEROTIC STRINGS

1992 ◽  
Vol 07 (10) ◽  
pp. 2265-2284
Author(s):  
FENG YU ◽  
YONG-SHI WU
Keyword(s):  
Partition Function ◽  
Degrees Of Freedom ◽  
Brst Symmetry ◽  
Graded Algebra ◽  
Covariant Quantization ◽  
Heterotic Strings ◽  
Fixed Action ◽  
Chiral Bosons ◽  
Infinite Set ◽  
Gauge Anomaly

We present a covariant path integral quantization of supersymmetric chiral bosons (leftons and rightons). An infinite set of auxiliary scalar superfields are introduced to convert the second-class chiral constraint into first-class ones. Our gauge-fixed action has an extended BRST symmetry described by the graded algebra GL(1|1). A regularization respecting this symmetry is proposed to deal with the contributions of the infinite towers of auxiliary fields and associated ghosts and is verified to lead to the desired partition function. We apply our formulation to give a covariant quantization of the heterotic-type NSR strings, and show that (super)conformal anomalies from all unphysical degrees of freedom are cancelled, even in noncritical dimensions. Our treatment does not suffer from Siegel gauge anomaly, because of the use of linear chiral constraints.

scholarly journals Target space entanglement in Matrix Models

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Harsha R. Hampapura ◽  
Jonathan Harper ◽  
Albion Lawrence
Keyword(s):  
Matrix Models ◽  
Model Problem ◽  
Entanglement Entropy ◽  
Target Space ◽  
Matrix Elements ◽  
Permutation Symmetry ◽  
Close Attention ◽  
Open Strings ◽  
Gauge Fixing ◽  
The Matrix

Abstract We study target space entanglement in gauged multi-matrix models as models of entanglement between groups of D-branes separated by a planar entangling surface, paying close attention to the implementation of gauge invariance. We open with a review of target space entanglement between identical particles, which shares some important features (specifically a gauged permutation symmetry) with our main problem. For our matrix models, we implement a gauge fixing well-adapted to the entangling surface. In this gauge, we map the matrix model problem to that of entanglement of a U(1) gauge theory on a complete or all-to-all lattice. Matrix elements corresponding to open strings stretching across the entangling surface in the target space lead to interesting contributions to the entanglement entropy.

COVARIANTLY QUANTIZED D=4, N=1 GREEN-SCHWARZ SIGMA MODELS

1991 ◽  
Vol 06 (04) ◽  
pp. 599-611
Author(s):  
PARTHASARATHI MAJUMDAR
Keyword(s):  
Sigma Models ◽  
Effective Action ◽  
Covariant Quantization ◽  
Minimal Supergravity ◽  
Gauge Fixing ◽  
Covariant Gauge ◽  
Tensor Multiplet ◽  
The One ◽  
Finiteness Properties

The Batalin-Vilkovisky quantization technique is used to provide a manifestly Lorentz covariant quantization of the σ-model describing the D=4 heterotic Green-Schwarz superstring propagating in a background superpsace consisting of minimal supergravity “entangled” with a tensor multiplet. The ultraviolet finiteness properties of the one-loop effective action are shown to be identical to those obtained earlier using a manifestly non-covariant gauge-fixing condition.

SUPERSYMMETRIC DESCRIPTION OF SPIN-ONE PARTICLES AS A TOPOLOGICAL MODEL

1994 ◽  
Vol 09 (25) ◽  
pp. 2347-2352
Author(s):  
ROMAIN ATTAL ◽  
LAURENT BAULIEU
Keyword(s):  
Mechanical Model ◽  
Extra Dimensions ◽  
Dimensional Space ◽  
Target Space ◽  
Topological Model ◽  
Quantum Mechanical ◽  
Quantum Mechanical Model ◽  
Topological Quantum ◽  
Gauge Fixing ◽  
Dimensional Space Time

We identify the locally N=2 supersymmetric Lagrangian describing spin-one particles in a D-dimensional space-time as the gauge-fixing of a topological quantum mechanical model acting in a target-space with two extra dimensions.

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