A single adjoint scalar plus singlet in a 5D domain-wall setup realizes dynamical branes, chiral fermion localization, SU(5) breaking, gauge trapping, and Higgs localization while reproducing weak-scale Yukawa couplings via renormalization-group flow.
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Derives orientation-dependent effective edge theory for QSHIs showing magnetic-field-induced corner states exist as bound states even without stable bulk higher-order topological invariants.
A local reconstruction scheme for Codazzi defects in 4D Lorentzian branches uses a lexicographic residual and CP1 Toeplitz visibility to select the S(U(3)×U(2))/Z6 form and standard one-generation SM exterior package.
In the supersymmetric gapped phase of an interacting Majorana chain, the lowest excitations are soliton-antisoliton pairs, each binding a localized Majorana mode that together form a nonlocal Dirac fermion distinguishing even and odd fermion parity states.
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.
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Five benefits of grand unified $SU(5)$ brane world scenario
A single adjoint scalar plus singlet in a 5D domain-wall setup realizes dynamical branes, chiral fermion localization, SU(5) breaking, gauge trapping, and Higgs localization while reproducing weak-scale Yukawa couplings via renormalization-group flow.
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Magnetic-field-induced corner states in quantum spin Hall insulators
Derives orientation-dependent effective edge theory for QSHIs showing magnetic-field-induced corner states exist as bound states even without stable bulk higher-order topological invariants.
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Self-Reconstructing Codazzi Defects, $\mathbb{CP}^1$ Quantization, and the Minimal Standard-Model Carrier
A local reconstruction scheme for Codazzi defects in 4D Lorentzian branches uses a lexicographic residual and CP1 Toeplitz visibility to select the S(U(3)×U(2))/Z6 form and standard one-generation SM exterior package.
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Soliton-antisoliton pairs in the supersymmetric gapped phase of an interacting Majorana chain
In the supersymmetric gapped phase of an interacting Majorana chain, the lowest excitations are soliton-antisoliton pairs, each binding a localized Majorana mode that together form a nonlocal Dirac fermion distinguishing even and odd fermion parity states.
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Lattice methods for students at a formal TASI
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.