Ambiguities in the Seiberg?Witten map and emergent gravity
@article{Rivelles2014AmbiguitiesIT, title={Ambiguities in the Seiberg?Witten map and emergent gravity}, author={Victor O. Rivelles}, journal={Classical and Quantum Gravity}, year={2014}, volume={31}, pages={025011} }
The θ expansion of the Seiberg–Witten map has ambiguities which can be removed by a gauge transformation and/or a field redefinition. In the context of emergent gravity such a field redefinition changes the emerging metric and requires the presence of non-minimal gravitational couplings. It also requires that a real scalar field becomes a scalar density and allows the introduction of a potential. We also find that the potential can have only one term and that a quartic interaction is not…
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References
SHOWING 1-10 OF 30 REFERENCES
Exact Seiberg–Witten map, induced gravity and topological invariants in non-commutative field theories
- Physics
- 2005
EXACT SEIBERG WITTEN MAP AND INDUCED GRAVITY FROM NONCOMMUTATIVITY
- Mathematics
- 2006
We find a closed form for Seiberg–Witten (SW) map between ordinary and noncommutative (NC) Dirac–Born–Infeld actions. We show that NC Maxwell action after the exact SW map can be regarded as ordinary…
Instantons, Twistors, and Emergent Gravity
- Physics
- 2011
Motivated by potential applications to holography on space-times of positive curvature, and by the successful twistor description of scattering amplitudes, we propose a new dual matrix formulation of…
Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
- Mathematics
- 2004
In this paper we construct Seiberg-Witten maps for superfields on canonically deformed N = 1, d = 4 Minkowski and euclidean superspace. On Minkowski superspace we show that the Seiberg-Witten map is…
TOPICAL REVIEW: Emergent geometry and gravity from matrix models: an introduction
- Physics
- 2010
An introductory review to emergent noncommutative gravity within Yang–Mills matrix models is presented. Spacetime is described as a noncommutative brane solution of the matrix model, i.e. as a…
String theory and noncommutative geometry
- Mathematics, Physics
- 1999
We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally…
Towards integrability for AdS3/CFT2
- Physics
- 2014
In this thesis we consider certain supersymmetric string theories on curved backgrounds containing the three-dimensional anti-de Sitter space, AdS3. On the one hand, these are gravity theories in…
Dynamics of strings in noncommutative gauge theory
- Physics
- 2000
We continue our study of solitons in noncommutative gauge theories and present an extremely simple BPS solution of = 4 U(1) noncommutative gauge theory in 4 dimensions, which describes N infinite…
Emergent spacetime and the origin of gravity
- Physics
- 2009
We present an exposition on the geometrization of the electromagnetic force. We show that, in noncommutative (NC) spacetime, there always exists a coordinate transformation to locally eliminate the…