Results 41 to 50 of about 307 (186)

Towards quantum black hole microstates

Journal of High Energy Physics, 2023
We study the cohomology of local BPS operators in N $$ \mathcal{N} $$ = 4 Yang-Mills theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole microstates in ...
Sunjin Choi, Seok Kim, Eunwoo Lee, Siyul Lee, Jaemo Park   +4 more
doaj   +1 more source

Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics

Fortschritte der Physik, Volume 73, Issue 12, December 2025.
Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley   +1 more source

Homological quantum mechanics

Journal of High Energy Physics
We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmonic oscillator ...
Christoph Chiaffrino, Olaf Hohm, Allison F. Pinto   +2 more
doaj   +1 more source

Comments on the RG‐Flow in Open String Field Theory

Fortschritte der Physik, Volume 73, Issue 12, December 2025.
Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
wiley   +1 more source

Transformation formulas in quantum cohomology [PDF]

Compositio Mathematica, 2004
The article discusses an action of the center of G on the quantum cohomology of G/P's constructed geometrically. It is shown how to recover Bertram's Quantum Schubert Calculus from this action, and also a refinement of a formula of Fulton and Woodward for the terms of the smallest order in the product of two Schubert varieties in the Quantum cohomology
openaire   +3 more sources

On the solvability of the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ for blocks of finite groups

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We give some criteria for the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ to be solvable, where B$B$ is a p$p$‐block of a finite group algebra, in terms of the action of an inertial quotient of B$B$ on a defect group of B$B$.
Markus Linckelmann, Jialin Wang
wiley   +1 more source

Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach [PDF]

Quantum
Topological data analysis has emerged as a powerful tool for analyzing large-scale data. An abstract simplicial complex, in principle, can be built from data points, and by using tools from homology, topological features could be identified.
Nhat A. Nghiem, Xianfeng David Gu, Tzu-Chieh Wei   +2 more
doaj   +1 more source

Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk   +2 more
wiley   +1 more source

From Gauge Anomalies to Gerbes and Gerbal Representations: Group Cocycles in Quantum Theory

Acta Polytechnica, 2010
In this paper I shall discuss the role of group cohomology in quantum mechanics and quantum field theory. First, I recall how cocycles of degree 1 and 2 appear naturally in the context of gauge anomalies.
J. Mickelsson
doaj  

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source