scholarly journals A Locally Supersymmetric Action for the Scalar Particle

1997 ◽  
Vol 12 (18) ◽  
pp. 1291-1299
Author(s):  
Fiorenzo Bastianelli ◽  
Luca Consoli
Keyword(s):  
Gauge Symmetry ◽  
Algebraic Structure ◽  
Scalar Particle ◽  
Bosonic String ◽  
Invariant Action ◽  
Reparametrization Invariance

We construct a locally supersymmetric action for the scalar particle, and study its relation with the usual reparametrization invariant action. The mechanisms at work are similar to those employed in the embedding of the bosonic string into the fermionic one, originally due to Berkovits and Vafa in their search for a universal string. The simpler algebraic structure present in the particle case provides us with a guide on how to prove in a simple way, without the need of fixing the superconformal gauge, that the supersymmetric formulation of the bosonic string is equivalent to the usual one, where reparametrization invariance is the only worldsheet gauge symmetry.

SUPERSYMMETRIC TENSOR GAUGE THEORIES

1989 ◽  
Vol 04 (14) ◽  
pp. 1343-1353 ◽  
Author(s):  
T.E. CLARK ◽  
C.-H. LEE ◽  
S.T. LOVE
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Sigma Models ◽  
Gauge Field ◽  
Gauge Theories ◽  
Symmetric Tensor ◽  
Global Symmetry ◽  
Invariant Action ◽  
Symmetry Transformations ◽  
Linear Sigma Models

The supersymmetric extensions of anti-symmetric tensor gauge theories and their associated tensor gauge symmetry transformations are constructed. The classical equivalence between such supersymmetric tensor gauge theories and supersymmetric non-linear sigma models is established. The global symmetry of the supersymmetric tensor gauge theory is gauged and the locally invariant action is obtained. The supercurrent on the Kähler manifold is found in terms of the supersymmetric tensor gauge field.

scholarly journals GAUGE INVARIANT ACTION FOR THE OPEN BOSONIC STRING

2008 ◽  
Vol 23 (07) ◽  
pp. 1001-1017 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Partition Function ◽  
Gauge Invariance ◽  
Taylor Expansion ◽  
Bosonic String ◽  
Point Function ◽  
Gauge Invariant ◽  
Invariant Action ◽  
Pole Structure ◽  
Zero Momentum ◽  
String Amplitudes

The issue of space–time gauge invariance for the bosonic string has been earlier addressed using the loop variable formalism. In this paper the question of obtaining a gauge invariant action for the open bosonic string is discussed. The derivative with respect to ln a (where a is a worldsheet cutoff) of the partition function — which is first normalized by dividing by the integral of the two-point function of a marginal operator — is a candidate for the action. Applied to the zero-momentum tachyon it gives a tachyon potential that is similar to those that have been obtained using Witten's background independent formalism. This procedure is easily made gauge invariant in the loop variable formalism by replacing ln a by Σ which is the generalization of the Liouville mode that occurs in this formalism. We also describe a method of resumming the Taylor expansion that is done in the loop variable formalism. This allows one to see the pole structure of string amplitudes that would not be visible in the original loop variable formalism.

A STRING MODEL WITH ONE PHYSICAL STATE

1994 ◽  
Vol 09 (15) ◽  
pp. 1345-1350
Author(s):  
M. STOILOV ◽  
D. STOYANOV
Keyword(s):  
Gauge Symmetry ◽  
Physical State ◽  
Physical Space ◽  
String Model ◽  
Space Time ◽  
Point Particle ◽  
Bosonic String ◽  
Rank Tensor ◽  
Additional Space

Further investigation on a bosonic string model with second class constraints is carried out. The physical space of the model is built up. It is shown, using analogy with the point particle with additional space-time gauge symmetry, that there is only one physical state in the model corresponding to an antisymmetric second rank tensor.

scholarly journals Torus bundles, automorphisms and T-duality

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
H. Mahmood ◽  
R. A. Reid-Edwards
Keyword(s):  
Gauge Symmetry ◽  
String Theory ◽  
Moduli Space ◽  
Algebraic Structure ◽  
Operator Algebra ◽  
Target Space ◽  
Torus Bundles ◽  
Modern Context ◽  
Special Points ◽  
The Way

Abstract We reconsider some older constructions of T-duality, based on automorphisms of the worldsheet operator algebra, in a modern context. It has been long known that at special points in the moduli space of torus compactifications, the target space gauge symmetry may be enhanced. Away from such points the symmetry is broken and T-duality may be understood as a residual discrete gauge symmetry that survives this breaking. Drawing on work on connections over the space of string backgrounds, we discuss how to generalise this framework for T-duality to geometric and non-geometric backgrounds that are not full solutions of string theory, but may play an important role in exact backgrounds. Along the way we find an interesting algebraic structure and discuss its relationship with doubled geometry. We comment on non-isometric T-duality in this context.

ON OFF-SHELL STATES IN BOSONIC STRING THEORY

1986 ◽  
Vol 01 (02) ◽  
pp. 443-449 ◽  
Author(s):  
M. BERSHADSKI
Keyword(s):  
String Theory ◽  
Scalar Particle ◽  
Bosonic String ◽  
Bosonic String Theory

The bilocal vertex is constructed which may be an off-shell vertex of scalar particle. This vertex consists of spinning operators of the Ashkin-Teller model and their ghost partners.

scholarly journals TWISTOR-LIKE TYPE II SUPERSTRING AND BOSONIC STRING

1993 ◽  
Vol 08 (03) ◽  
pp. 285-293 ◽  
Author(s):  
V. CHIKALOV ◽  
A. PASHNEV
Keyword(s):  
Bosonic String ◽  
Type Ii ◽  
Two Dimensional ◽  
Chern Simons ◽  
Reparametrization Invariance ◽  
String Worldsheet

The superfield formulation of type II Green-Schwarz superstring with n=(1,0) worldsheet supersymmetry is constructed. It is shown that the inclusion of the second spinor coordinate in the target superspace leads to the description of the superstring in the absence of any field from the two-dimensional supergravity multiplet. The twistor-like action of Chern-Simons type for bosonic string is deduced from the superstring action. The reparametrization invariance of the bosonic string action takes place only in D=3,4,6,10 with bosonic superpartners of spinor coordinates playing the role of metric on the string worldsheet.

scholarly journals The generalized Bergshoeff-de Roo identification. Part II

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
W. Baron ◽  
D. Marques
Keyword(s):  
Field Theory ◽  
Second Order ◽  
Parameter Family ◽  
Heterotic String ◽  
Bosonic String ◽  
Invariant Action ◽  
Higher Derivative ◽  
Double Field Theory ◽  
Two Parameter

Abstract We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

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