Covariant phase space analysis shows tensionless open strings in constant Kalb-Ramond background have purely boundary-supported phase space with noncommutative endpoint coordinates, recovering Seiberg-Witten noncommutativity for tensile strings and unifying both cases.
Noncommutative Geometry and Matrix Theory: Compactification on Tori
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study toroidal compactification of Matrix theory, using ideas and results of non-commutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification of these backgrounds, and argue that they correspond in supergravity to tori with constant background three-form tensor field. The paper includes an introduction for mathematicians to the IKKT formulation of Matrix theory and its relation to the BFSS Matrix theory.
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In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
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Covariant phase space approach to noncommutativity in tensile and tensionless open strings
Covariant phase space analysis shows tensionless open strings in constant Kalb-Ramond background have purely boundary-supported phase space with noncommutative endpoint coordinates, recovering Seiberg-Witten noncommutativity for tensile strings and unifying both cases.
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On the large N convergence of matrix models
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
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Exponentially Long Evaporation of Noncommutative Black Hole
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
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Noncommutative Gauge Theories and Gravity
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.