Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Lie algebraic noncommutative gravity

Journal Article · · Physical Review. D, Particles Fields
;  [1];  [2]
  1. S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata-700098 (India)
  2. Presidency College, 86/1 College Street, Kolkata-700073, West-Bengal (India)

We exploit the Seiberg-Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space-time. Detailed expressions of the Seiberg-Witten maps for the gauge parameters, gauge potentials, and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

OSTI ID:
20933339
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

Similar Records

SO(2,3){sub ★} Noncommutative Gravity: Coupling with Matter Fields
Journal Article · Sat Sep 15 00:00:00 EDT 2018 · Physics of Particles and Nuclei · OSTI ID:22981797

SL(2,C) gravity on noncommutative space with Poisson structure
Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields · OSTI ID:21432387

U(2,2) gravity on noncommutative space with symplectic structure
Journal Article · Fri Jan 14 23:00:00 EST 2011 · Physical Review. D, Particles Fields · OSTI ID:21503966