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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.
Forward citations
Cited by 29 Pith papers
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When Renormalisation Remembers: UV/IR Mixing as an Entanglement Bridge
Introduces the Born-Reciprocal Tensor Network to realize UV/IR mixing as an entanglement bridge in renormalization geometry, with a large-volume limit restoring standard Wilsonian decoupling.
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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.
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Poly-vector deformations of heterotic supergravity solutions
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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Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory
A 2-form higher Berry connection on boundary conformal manifolds is defined from boundary-condition-changing operator OPE phases; it reproduces the B-field and WZ term in string theory examples.
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Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models
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.
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Quantum Geometry from Area Fluctuations
Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.
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Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
In the noncommutative Yang–Mills dual, holographic subregion complexity acquires a lower bound and a minimum-length scale, and strong subadditivity fails exactly at that scale.
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Constraining non-commutative geometry with W/Z+jet production at the LHC
Non-commutative spacetime corrections to W/Z+jet production appear at first order in Θ, and ATLAS Z+jet data constrain the non-commutative scale to Λ ≳ 2 TeV.
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Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
Derives perturbative noncommutative corrections to the metric tensor and gauge potential for static spherically symmetric dyonic black holes in several nonlinear electrodynamics theories.
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On a non-geometric approach to noncommutative gauge theories
A non-geometric bootstrap on the Moyal plane produces noncommutative gauge theories and derives the U(N) fundamental restriction from the requirement that the conserved non-local current be Lie algebra valued.
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On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution
The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.
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Holographic D-brane constructions with dynamical gauge fields
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.
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From noncommutative Yang-Mills to noncommutative gravity through a classical double copy map
The classical double copy of noncommutative Yang-Mills yields a theta-squared-corrected cubic double field theory action whose pure gravity limit is Einstein-Hilbert plus Riemann-cubed terms in D=4 transverse-traceless gauge.
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Worldsheet Formalism for Decoupling Limits in String Theory
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.
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Bell nonlocality from twisted statistics
For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invarian...
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Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach
A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.
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Top-quark pair production in electron-positron collisions within the minimal noncommutative Standard Model
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.
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Symmetries and operators in $T\bar{T}$ deformed CFTs
A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.
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On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
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Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space
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.
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Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds
For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.
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Perturbative study of Supercritical Crossover in Noncommutative-corrected Spacetime
Noncommutative corrections preserve the mean-field universality class of the supercritical crossover and Widom line in charged AdS black holes.
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Nonlinear response of the chiral magnetic effect in the D3/D7 holographic model
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 stabiliz...
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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
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.
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Observational Signatures of Rotating Ay\'{o}n-Beato-Garc\'{i}a Black Holes: Shadows, Accretion Disks and Images
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*.
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Can Non-Relativistic Strings Propagate Without Geometric Baggage?
The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.
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Penrose limits and TsT for fibered $I$-branes
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.
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Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
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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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