Results 71 to 80 of about 859 (194)
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker +3 more
wiley +1 more source
Topics in perturbation theory [PDF]
, 1992 In providing a means of progressively improving an initial estimate, perturbation series have become a ubiquitous tool in modern physics. However, and mainly because this stepwise process of improvement rapidly becomes increasingly involved, surprisingly
Barclay, D.T, Barclay, David Thomas
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Exploring T‐Duality for Self‐Dual Fields
Fortschritte der Physik, Volume 72, Issue 5, May 2024.Abstract Avatars of T‐duality within Sen's formalism for self‐dual field strengths in various dimensions are studied. This formalism is shown to naturally accommodate the T‐duality relation between Type IIA/IIB theories when compactified on a circle without the need for imposing the self‐duality constraint by hand, as is usually done. The study of this
Subhroneel Chakrabarti +1 more
wiley +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Using the formalism of extended N=4 supersymmetric quantum mechanics we consider the procedure of the construction of multi-well potentials. We demonstrate the form-invariance of Hamiltonians entering the supermultiplet, using the presented relation for ...
Victor P. Berezovoj +2 more
doaj +1 more source
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs) represent a powerful class of discrete optimisation techniques that can efficiently deal with the immensity of
Steve A. Abel +4 more
wiley +1 more source
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.Supersymmetric quantum mechanics (SUSYQM) plays an important role in solving the Schrödinger equation, and it is also important to find more superpotentials that can be solved accurately. On the basis of studying the characteristics of existing superpotentials, the authors find a missing superpotential and put forward a method by combining two ...
Wenxin Qiu +5 more
wiley +1 more source
Quantum computing for lattice supersymmetry [PDF]
, 2022 Quantum computing promises the possibility of studying the real-time dynamics of non-perturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches.
Culver, C, Schaich, D
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THEORETICAL FRAMEWORKS FOR UNIFIED FIELD THEORY: PROGRESS AND CHALLENGES
Worldwide Journal of Physics, 2023 The quest for a Unified Field Theory (UFT) represents a cornerstone challenge in theoretical physics, aiming to integrate all fundamental interactions—gravitational, electromagnetic, weak, and strong forces—into a singular, coherent framework. This study
Usman Rashid, Fatima Iqbal
doaj
Supersymmetric non-relativistic quantum mechanics [PDF]
, 1985 We generalize Gozzi's analysis for one-dimensional quantum mechanics to three dimensions. The hidden supersymmetry of quantum mechanics requires a particular spin-orbit coupling to manifest itself in three ...
Gamboa, Jorge, Zanelli, Jorge
core +1 more source