Virasoro algebra and group in four dimensions

Journal Article · Sun May 01 04:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528199· OSTI ID:5375382

Zhang, Y

The Virasoro algebra and group are examined in (3+1)-dimensional theory with an Abelian gauge field coupled with the gravitational field. The two-cocycle for the group is constructed by using the so-called descent equation. Its infinitesimal version gives the Schwinger--Jackiw--Johnson term in the Virasoro algebra in 3+1 dimensions. It appears that in the case of an external monopole field the Virasoro algebra and group in 3+1 dimensions are the direct generalization of the standard ones in 1+1 dimensions, respectively.

• Research Organization: Center of Theoretical Physics, CCAST (World Laboratory) and Institute of Modern Physics, Northwest University, Xian, People's Republic of China
• OSTI ID: 5375382
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BASIC INTERACTIONS
COUPLING CONSTANTS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATIONAL INTERACTIONS
GROUP THEORY
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICS
MONOPOLES
QUANTUM FIELD THEORY
SINGULARITY