479 papers
This paper computes the expectation values of Wilson loop observables in Chern-Simons theory on closed oriented 3-manifolds, demonstrating their topological invariance, analyzing the impact of topological sectors, exhibiting CS duality, and determining the theory's zero modes and equations of motion.
This paper classifies differential operators between spaces of weighted densities in the superdimension setting, effectively superizing a previous result on modular forms and identifying open problems in the field.
This paper investigates the irreducible components of fixed point sets within the -character variety of a genus two surface under finite group actions, utilizing the genus two DAHA to identify geometric transitions that yield novel candidates for symmetry-reduced moduli spaces in 4d SCFTs.
This paper establishes the integrability of a one-parameter family of coupled Dirac-scalar field theories in dimensions that interpolates between the Dirac-sinh-Gordon and Dirac-sine-Gordon systems by constructing an explicit -valued Lax pair, proving the physical non-triviality of the deformation, and deriving associated conserved densities.
This paper extends Kajiura's construction of noncommutative deformations of holomorphic line bundles on complex tori by viewing them through the lens of twisted trivial bundles and investigates their mirror duals within the SYZ framework.
This paper demonstrates that neglecting heat flux in relativistic Couette-type flows leads to qualitatively incorrect profiles due to the "inertia of heat," a phenomenon where heat flux contributes to momentum density and necessitates energy transport across boundaries to balance viscous heating.
This paper introduces a comprehensive framework that unifies formal group theory and group entropies to create a flexible, infinite family of Mirror Descent optimization algorithms, featuring a novel "mirror duality" mechanism that adapts to diverse data geometries and statistical distributions while enhancing convergence and regularizer design in machine learning.
This paper presents a unified analytic treatment of Kerr-Newman-de Sitter black holes in constant-curvature gravity, deriving closed-form expressions for horizon radii and extremality conditions to reveal non-universal bounds and unique ultra-extremal configurations that differ from general relativity.
This paper establishes that for Einstein's gravity coupled to a massive, non-minimally coupled quantum scalar field, each term in the equation of motion for metric perturbations and each necessary renormalization counterterm independently satisfies a Noether-Ward identity, ensuring the overall transversality of the equation regardless of the specific definition used for the metric perturbation.
This paper proposes realistic models within scalar-Einstein-Gauss-Bonnet and ghost-free gravity frameworks that explain recent DESI observations of an inverse phantom crossing in the dark energy equation of state, either through standard phantom crossing mechanisms or via an "apparent" crossing where dark matter density decreases more slowly due to coupling with the Gauss-Bonnet invariant, all while preserving energy conditions.
This paper establishes a consistent vierbein perturbation framework for New General Relativity to analyze cosmological modes, revealing that Type 3 of the theory possesses five stable propagating modes (tensor, scalar, and vector) that make it particularly suitable for cosmological applications despite its violation of local Lorentz invariance.
This paper demonstrates that the hidden symmetry and separability characteristic of Kerr geometry are inevitable local consequences of the Einstein equations for rotating spacetimes, emerging from a rigid projective alignment enforced by mixed field equations under a minimal local equilibrium condition without requiring vacuum, algebraic speciality, or global boundary assumptions.
This paper validates a modified Teukolsky framework for predicting gravitational-wave ringdown spectra in effective field theories by successfully passing two rigorous null tests and confirming consistency between two independent numerical methods, thereby establishing its reliability for future strong-field tests of General Relativity.
This paper proposes a predictive Grand Unified Theory in Palatini gravity where a Higgs field drives inflation and breaks symmetry, linking CMB observables and proton decay lifetimes to offer a testable framework that resolves monopole abundance issues and accommodates current cosmological data.
This paper proposes a string-derived supergravity model combining the Standard Model with gauged and modular symmetry, where anomaly cancellation conditions uniquely determine flavor structures and axion properties, predicting a specific axion mass and coupling while suppressing flavor-violating interactions and reproducing observed neutrino data.
This paper generalizes soft and collinear factorization in perturbative QCD to multi-collinear configurations, demonstrating how generalized splitting amplitudes encode the breaking of strict collinear factorization in space-like limits and the failure of naive multiplicative factorization in simultaneous soft-collinear regimes.
The paper demonstrates that the final state of a binary black hole merger corresponds with remarkable accuracy to the configuration that maximizes the instability rate of null geodesics, suggesting a deep connection between merger dynamics and the efficiency of photon ring scrambling.
This paper presents a one-loop computation of the quark propagator in the Curci-Ferrari-Delbourgo-Jarvis gauge with dynamical quarks, demonstrating that the framework remains infrared-stable with frozen coupling and mass parameters, while suggesting that finite gauge parameters may better align with lattice trends than the Landau gauge.
This paper investigates gravitational wave propagation and emission in metric-affine bumblebee gravity, deriving modified dispersion relations and radiation patterns that depend on the orientation of the Lorentz-violating background vector, and uses multimessenger observations of GW170817 to constrain the theory's parameters.
This paper investigates a generalized gauged -Maxwell theory where integrating out a massive Dirac fermion induces a non-polynomial, logarithmic magnetic permeability, enabling the derivation of BPS vortex solutions with quantized magnetic flux that highlight the interplay between target-space geometry and the induced permeability.