Proposes a CFT analogue of Hodge loci in Calabi-Yau sigma models via non-trivial TDL categories of topological defects, with CM number field embeddings at special points for elliptic curves and K3 surfaces.
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Absence of neu- trinos on a lattice: (i). proof by homotopy the- ory,
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A planar scattering potential in bi-adjoint φ³ theory reproduces Dolan-Goddard massive equations, counts invariants via Ferrers shapes, and interprets U(1) decoupling as Catalan and Narayana recursions.
Generalized BPS magnetic monopoles exist in inhomogeneous Yang-Mills-Higgs models with spatially varying couplings constrained to preserve the BPS bound, yielding exact solutions when the permeability exponent is 1 and a spectrum of compact, hollow, and multi-shell configurations otherwise.
Bi- and uni-vector deformations of heterotic supergravity solutions are constructed using gauged double field theory together with a generalized open/closed map.
Presents LCU block-encodings for SLAC derivative operators, applies Shannon wavelets and preconditioning, and obtains O(d n^3 α^(k) log(1/ε)) gate complexity for d-dimensional PDEs via QLSA.
A two-parameter flow equation is derived for Anderson localization on the hyperbolic plane, with an extended critical line separating metallic and insulating phases in the plane of scale-dependent curvature and conductivity.
Asymmetric orbifold actions in Pati-Salam heterotic strings yield 24 classes with 0-12 moduli, enabling exophobic three-generation models with moduli-independent doublet-triplet splitting.
Minimal-doubling lattice fermion Hamiltonians yield single-Weyl phases when supplemented by a species-splitting mass term, but one-parameter symmetry-preserving deformations introduce additional Weyl nodes above a critical value.
Review of integrable anyonic chains with new examples identified for su(2)_k, Tambara-Yamagami TY(Z_n), Fib x Fib, Fib x Ising, and preliminary results for Haagerup-Izumi categories.
Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
Proposes a special E6 → G(2) × SU(3)_A embedding with 650 Higgs sector, E7 completion, and one-loop unification to embed the Standard Model plus a secluded dark matter sector via dark glueballs.
Projects COSI and AMEGO-X sensitivities to sub-GeV DM in vector-scalar portals, finding COSI leading in some regions beyond CMB limits and AMEGO-X covering most continuum cases.
Spin algebra arises as the internal structure needed for any relativistic statistical theory that keeps both mass-shell branches, via Clifford factorization yielding a matrix Liouville framework that deformation-quantizes to Dirac-Wigner constraints.
An extended PNJL model locates the QCD critical end point and predicts that proto-neutron stars contain hyperons and Delta-isobars but no deconfined quarks, which appear only in cold neutron stars.
Advocates treating numerical, analytical, and experimental efforts as equal contributors to progress in quantum magnetism instead of viewing them as supporting tools.
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