Contents
xv
Electron in Bilayer Graphene with Magnetic Fields Associated with
Solvable Potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
Daniel O. Campa, Juan D. García, and David J. Fernández
Twist Knot Invariants and Volume Conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
P. Ramadevi and Zodinmawia
Demazure Formulas for Weight Polytopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
Mark A. Walton
Point Transformations: Exact Solutions of the Quantum
Time-Dependent Mass Nonstationary Oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295
Kevin Zelaya and Véronique Hussin
Influence of the Electron–Phonon Interaction on the Topological
Phase Transition in BiTeI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
Véronique Brousseau-Couture and Michel Côté
Part III Condensed Matter Physics
Nonlinear Coherent States for Anisotropic 2D Dirac Materials . . . . . . . . . . . . 317
E. Díaz-Bautista, Y. Concha-Sánchez, and A. Raya
Monopole Operators and Their Symmetries in QED 3 -Gross–Neveu
Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
Éric Dupuis, M. B. Paranjape, and William Witczak-Krempa
Critical Exponents for the Valence-Bond-Solid Transition in Lattice
Quantum Electrodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337
Rufus Boyack and Joseph Maciejko
Emergent Geometry from Entanglement Structure . . . . . . . . . . . . . . . . . . . . . . . . . 347
Sudipto Singha Roy, Silvia N. Santalla, Javier Rodríguez-Laguna,
and Germán Sierra
Interplay of Coulomb Repulsion and Spin–Orbit Coupling in
Superconducting 3D Quadratic Band Touching Luttinger Semimetals . . . 359
Serguei Tchoumakov, Louis J. Godbout, and William Witczak-Krempa
Soft Degrees of Freedom, Gibbons–Hawking Contribution and
Entropy from Casimir Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369
Glenn Barnich and Martin Bonte
Part IV Cosmology and Gravitation & String Theory
Probes in AdS 3 Quantum Gravity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389
Alejandra Castro
Fundamental Physics, the Swampland of Effective Field Theory
and Early Universe Cosmology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409
Robert Brandenberger
xv
Electron in Bilayer Graphene with Magnetic Fields Associated with
Solvable Potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
Daniel O. Campa, Juan D. García, and David J. Fernández
Twist Knot Invariants and Volume Conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
P. Ramadevi and Zodinmawia
Demazure Formulas for Weight Polytopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
Mark A. Walton
Point Transformations: Exact Solutions of the Quantum
Time-Dependent Mass Nonstationary Oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295
Kevin Zelaya and Véronique Hussin
Influence of the Electron–Phonon Interaction on the Topological
Phase Transition in BiTeI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
Véronique Brousseau-Couture and Michel Côté
Part III Condensed Matter Physics
Nonlinear Coherent States for Anisotropic 2D Dirac Materials . . . . . . . . . . . . 317
E. Díaz-Bautista, Y. Concha-Sánchez, and A. Raya
Monopole Operators and Their Symmetries in QED 3 -Gross–Neveu
Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
Éric Dupuis, M. B. Paranjape, and William Witczak-Krempa
Critical Exponents for the Valence-Bond-Solid Transition in Lattice
Quantum Electrodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337
Rufus Boyack and Joseph Maciejko
Emergent Geometry from Entanglement Structure . . . . . . . . . . . . . . . . . . . . . . . . . 347
Sudipto Singha Roy, Silvia N. Santalla, Javier Rodríguez-Laguna,
and Germán Sierra
Interplay of Coulomb Repulsion and Spin–Orbit Coupling in
Superconducting 3D Quadratic Band Touching Luttinger Semimetals . . . 359
Serguei Tchoumakov, Louis J. Godbout, and William Witczak-Krempa
Soft Degrees of Freedom, Gibbons–Hawking Contribution and
Entropy from Casimir Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369
Glenn Barnich and Martin Bonte
Part IV Cosmology and Gravitation & String Theory
Probes in AdS 3 Quantum Gravity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389
Alejandra Castro
Fundamental Physics, the Swampland of Effective Field Theory
and Early Universe Cosmology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409
Robert Brandenberger