532 papers
This paper derives a universal large- expression for torus knot invariants in lens spaces by relating them to invariants in , revealing a quiver partition function structure that allows for the direct identification of the underlying quiver associated with these knots.
This paper derives an explicit formula for the disk 1-point function in timelike Liouville theory using the Coulomb gas formalism and analytic continuation, demonstrating that the result satisfies key consistency checks such as reflection symmetry, self-duality, and bootstrap equations while reproducing known limits.
This paper proposes a novel formulation of four-dimensional gravity derived from a topological field theory with global symmetry that becomes local, utilizing Weyl spinor-valued 1-forms to encode frame-field data and offering a framework particularly well-suited for discretization and quantization.
This paper establishes an explicit quasi-isomorphism between the cyclic -algebras of semi-holomorphic Chern-Simons theory and the principal chiral model, thereby deriving the Lax connection and demonstrating a concrete homotopy algebraic approach to the integrability of two-dimensional systems.
This paper uses infinite matrix product state techniques to demonstrate that coupling a quantized axion field to the massive Schwinger model in a Hamiltonian lattice gauge theory dynamically relaxes the effective -angle to a CP-conserving minimum, thereby providing a nonperturbative, quantum-hardware-ready solution to the strong CP problem.
This paper proposes a quantum mechanical model of black hole decay via fuzzy sphere tunneling mediated by monopole zero modes, demonstrating that this unitary process reproduces the semi-classical Hawking radiation rate and Boltzmann distribution while offering a framework to determine the full wave function of the emitted quanta.
This paper establishes a consistent renormalization framework within the Effective Field Theory of inflation that successfully cancels ultraviolet divergences and tadpoles for scale-dependent backgrounds with strong de Sitter symmetry breaking, demonstrating that the renormalized one-loop power spectrum vanishes at both large and small scales for resonant and sharp features while preserving perturbativity.
This paper proposes that dual magnetic charges in -form theories arise as non-trivial charges associated with the zero-modes of reducible translational gauge symmetries in a first-order BF theory formulation, thereby providing a new criterion for their existence and explaining the origin of their centrally-extended current algebra.
This paper establishes a connection between the Alexander polynomial and its twisted and -variants for knots and 3-manifolds by introducing twisted Neumann–Zagier matrices derived from ordered ideal triangulations to provide explicit formulas for these invariants.
This paper establishes that on specific projective threefolds, certain moduli spaces of 2-dimensional torsion sheaves form smooth bundles over Hilbert schemes, thereby deriving a wall-crossing formula that relates curve counting invariants to D4-D2-D0 brane counts and exploring their modular properties through the lens of S-duality and Noether-Lefschetz theory.
This paper investigates the emission distribution of topologically massive quanta in 2+1 dimensional Maxwell-Chern-Simons theory coupled to an external current, revealing that the distribution is Poissonian under a specific condition required to prevent indeterminacy when the coupling term vanishes.
This paper generalizes the Cattani-Deligne-Kaplan finiteness theorem for Hodge classes to self-dual classes in integral variations of Hodge structure by leveraging the definability of period mappings within the o-minimal structure .
This paper investigates free open fermionic strings on a non-commutative phase space, demonstrating that while non-commutativity initially introduces anomalies, breaks Lorentz symmetry, and yields a non-diagonal mass operator, these issues can be resolved by redefining the Fock space and imposing specific constraints on the non-commutativity parameters to restore the standard spectrum and enable the GSO projection.
This paper utilizes 3D-3D correspondence to construct 3D bulk field theories dual to general Virasoro minimal models, distinguishing between unitary cases that flow to topological field theories and non-unitary cases that flow to rank-0 superconformal field theories, with explicit descriptions provided via theories and verified through partition function computations.
This paper establishes a direct relationship between the non-stabilizing power of generic quantum circuits and their constituent non-Clifford gates, demonstrating how random Clifford operations drive the thermalization of non-stabilizerness to its Haar-averaged value and elucidating its critical role in the emergence of quantum chaos.
This paper proposes a microscopic explanation for the statistical entropy of general observed 4D black holes by compactifying 5D Einstein gravity with a positive cosmological constant, successfully deriving the Bekenstein-Hawking area term along with novel, physically significant sub-leading exponential corrections independent of specific black hole symmetries or supersymmetry.
This paper proves and generalizes Z.-W. Sun's conjectures on infinite series involving harmonic numbers and binomial coefficients by evaluating them in closed form through their interpretation as automorphic objects on the moduli spaces of Legendre curves with genera 1, 2, 3, and 5.
This paper extends the analysis of critical Fermi surface deformations at an Ising-nematic quantum critical point by employing quantum Boltzmann equations that include collision effects, revealing that while bosonic dynamics do not alter the solutions, the system supports a robust zero-sound mode and an infinite family of discrete higher-order harmonic modes alongside a continuous particle-hole band.
This paper investigates how rotation influences the anisotropic shear viscosity and electrical conductivity of strongly interacting matter by employing kinetic theory within Hadron Resonance Gas and Nambu-Jona-Lasinio models, revealing that rotation suppresses chiral condensates, generates a sizable Hall-like conductivity, and reduces transport coefficients relative to isotropic cases.
By calculating the Renormalization Group flow of CPT-violating interactions under quantum metric fluctuations, the authors demonstrate that CPT symmetry cannot be an emergent low-energy phenomenon, thereby ruling out quantum gravity approaches that allow for its fundamental breaking.