A BRST-like operator for space with zero curvature but non-zero torsion tensor

Ôkubo, Susumu

doi:10.1007/bf00758016

Search citation statements

Order By: Relevance

Paper Sections

Select...

The Das-okubo Geometrical Lax Equation1

Gravity With Torsion1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1992

2010

Publication Types

Select...

Article9

Relationship

Self Cite0

Independent9

Authors

Journals

Cited by 24 publications

(25 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the expression forĤ ef f in equation (14), the Jacobi identity (8) and the BRST anti-BRST algebra of equation (A1), we find that…”

Section: The Das-okubo Geometrical Lax Equationmentioning

confidence: 99%

A Quantum Brst–anti-BRST Approach to Classical Integrable Systems

Chesterman

Silka²

2004

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…Using the expression forĤ ef f in equation (14), the Jacobi identity (8) and the BRST anti-BRST algebra of equation (A1), we find that…”

Section: The Das-okubo Geometrical Lax Equationmentioning

confidence: 99%

A Quantum Brst–anti-BRST Approach to Classical Integrable Systems

Chesterman

Silka²

2004

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…In a first step one neglects the Weyl symmetry to simplify the matter. For this purpose one defines the operator δ as 34) or in terms of the basic fields δη a = −e a , δφ = 0 for φ = (ϕ, ω, e, R, T, θ) . It is easy to verify that δ is of degree zero and that, together with the BRST operator s, it obeys the following algebraic relations: One sees from eq.…”

Section: Gravity With Torsionmentioning

confidence: 99%

Algebraic structure of gravity with torsion

Moritsch

Schweda

Sorella

1994

Class. Quantum Grav.

View full text Add to dashboard Cite

The BRS transformations for gravity with torsion are discussed by using the Maurer-Cartan horizontality conditions. With the help of an operator δ which allows to decompose the exterior space-time derivative as a BRS commutator we solve the Wess-Zumino consistency condition corresponding to invariant Lagrangians and anomalies. * Supported in part by the "Fonds zur Förderung der wissenschaftlichen Forschung" under Grant No. P9116-PHY.† Supported in part by the "Fonds zur Förderung der wissenschaftlichen Forschung", M008-Lise Meitner Fellowship.

show abstract

“…In addition it possesses many features which makes it particularly well-suited for certain analyses. For instance it enables a pure tensorial proof of the positivity of the energy in general relativity [21], it yields a natural introduction of Ashtekar variables [22], and makes it possible to study the torsion at quantum level [23], for example, in the gravitational coupling to spinor fields.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative gauge theory using a covariant star product defined between Lie-valued differential forms

et al. 2010

View full text Add to dashboard Cite

We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order to assure the restrictions imposed by the associativity property of the star product, the torsion of the space-time has to be covariant constant. An illustrative example is given and it is concluded that in this case the conditions necessary to define a covariant star product on a symplectic manifold completely determine its connection.

show abstract

A BRST-like operator for space with zero curvature but non-zero torsion tensor

Cited by 24 publications

References 5 publications

A Quantum Brst–anti-BRST Approach to Classical Integrable Systems

A Quantum Brst–anti-BRST Approach to Classical Integrable Systems

Algebraic structure of gravity with torsion

Noncommutative gauge theory using a covariant star product defined between Lie-valued differential forms

Contact Info

Product

Resources

About