Bi- and uni-vector deformations of heterotic supergravity solutions are constructed using gauged double field theory together with a generalized open/closed map.
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String Theory and Noncommutative Geometry
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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 coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary Dirac-Born-Infeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its T-duality, and Morita equivalence. We also discuss the D0/D4 system, the relation to M-theory in DLCQ, and a possible noncommutative version of the six-dimensional (2,0) theory.
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Phase space quantization via Wigner distributions and Moyal product for Taub and Kantowski-Sachs models recovers modified Bessel function wave functions without factor ordering ambiguities.
Derives perturbative noncommutative corrections to the metric tensor and gauge potential for static spherically symmetric dyonic black holes in several nonlinear electrodynamics theories.
Equips bottom-up holographic D-brane models with dynamical boundary gauge fields and shows that quasinormal mode dispersion relations in equilibrium and nonequilibrium states match hydrodynamics with dynamical U(1) symmetry.
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian 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.
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.
Noncommutative effects up to second order in Θ induce measurable deviations in the e+e− → tt̄ total cross section, polar and azimuthal distributions, and forward-backward asymmetry at ILC and CLIC energies.
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
Uni-vector deformations in Type IIA map D0 backgrounds to themselves and generate F1-D0 and D2-D0 bound states while relating to DLCQ of M-theory.
κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.
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.
Near the insulating-CME phase boundary in the D3/D7 model, the chiral magnetic current shows multi-valued dependence on magnetic field strength, while axial chemical potential and magnetic field cooperatively stabilize the insulating phase.
In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.
Rotating Ayón-Beato-García black holes produce smaller and sometimes D-shaped shadows whose size constrains the charge parameter ζ to the range 0.132811M–0.213607M when matched to EHT observations of M87* and Sgr A*.
Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.