Results 21 to 30 of about 1,167 (94)

The circle action on topological Hochschild homology of complex cobordism and the Brown–Peterson spectrum

Journal of Topology, Volume 13, Issue 3, Page 939-968, September 2020., 2020
Abstract We specify exterior generators in π∗THH(MU)=π∗(MU)⊗E(λn′∣n⩾1) and π∗THH(BP)=π∗(BP)⊗E(λn∣n⩾1), and calculate the action of the σ‐operator on these graded rings. In particular, σ(λn′)=0 and σ(λn)=0, while the actions on π∗(MU) and π∗(BP) are expressed in terms of the right units ηR in the Hopf algebroids (π∗(MU),π∗(MU∧MU)) and (π∗(BP),π∗(BP∧BP)),
John Rognes
wiley   +1 more source

Deligne Categories in Lattice Models and Quantum Field Theory, or Making Sense of $O(N)$ Symmetry with Non-integer $N$

, 2020
When studying quantum field theories and lattice models, it is often useful to analytically continue the number of field or spin components from an integer to a real number.
Binder, Damon J., Rychkov, Slava
core   +1 more source

Reiteration Formulae for the Real Interpolation Method Including L or R Limiting Spaces

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
We consider a real interpolation method defined by means of slowly varying functions. We present some reiteration formulae including so‐called L or R limiting interpolation spaces. These spaces arise naturally in reiteration formulae for the limiting cases θ = 0 or θ = 1. Applications to grand and small Lorentz spaces are given.
Leo R. Ya. Doktorski, Maria Alessandra Ragusa   +1 more
wiley   +1 more source

Optimal embeddings and compact embeddings of Bessel-potential-type spaces [PDF]

, 2008
First, we establish necessary and sufficient conditions for embeddings of Bessel potential spaces H^ σ X(R^n) with order of smoothness less than one, modelled upon rearrangement invariant Banach function spaces X(R^n), into generalized Hölder spaces.
Gogatishvili, Amiran, Neves, Júlio, Opic, Bohumír   +2 more
core   +1 more source

Full Logarithmic Conformal Field theory — an Attempt at a Status Report [PDF]

Fortschritte der Physik, 2019
Logarithmic conformal field theories are based on vertex algebras with non‐semisimple representation categories. While examples of such theories have been known for more than 25 years, some crucial aspects of local logarithmic CFTs have been understood ...
J. Fuchs, C. Schweigert
semanticscholar   +1 more source

Abelianisation of logarithmic sl2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {sl}_2$$\end{document}-conn [PDF]

Selecta Mathematica, 2019
We prove a functorial correspondence between a category of logarithmic sl2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
Nikita Nikolaev
semanticscholar   +1 more source

Associative algebras for (logarithmic) twisted modules for a vertex operator algebra [PDF]

Transactions of the American Mathematical Society, 2016
We construct two associative algebras from a vertex operator algebra $V$ and a general automorphism $g$ of $V$. The first, called $g$-twisted zero-mode algebra, is a subquotient of what we call $g$-twisted universal enveloping algebra of $V$.
Yi-Zhi Huang, Jinwei Yang
semanticscholar   +1 more source

Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces [PDF]

, 2007
We define Floer homology for a time-independent, or autonomous Hamiltonian on a symplectic manifold with contact type boundary, under the assumption that its 1-periodic orbits are transversally nondegenerate.
Bourgeois, Frédéric, Oancea, Alexandru
core   +4 more sources

Enlarged symmetry algebras of spin chains, loop models, and S-matrices

, 2007
The symmetry algebras of certain families of quantum spin chains are considered in detail. The simplest examples possess m states per site (m\geq2), with nearest-neighbor interactions with U(m) symmetry, under which the sites transform alternately along ...
Affleck, Anderson, Bakalov, Barber, Baxter, Carter, Chari, di Francesco, Di Francesco, Dipper, Dipper, Du, Erdmann, Fendley, Freedman, Goodman, Goodman, Graham, Gruzberg, Gurarie, H. Saleur, Hardy, Jacobsen, Jones, Jones, Jones, Kassel, Koo, Koo, König, König, Larsen, Mann, Mann, Martin, Martin, Martin, Martin, Martin, Martin, Martin, Mathas, N. Read, Nienhuis, Nienhuis, Pasquier, Pierce, Read, Read, Ringel, Sagan, Saleur, Temperley, Turaev   +53 more
core   +1 more source

Lattice fusion rules and logarithmic operator product expansions

, 2013
The interest in Logarithmic Conformal Field Theories (LCFTs) has been growing over the last few years thanks to recent developments coming from various approaches.
A.M. Gainutdinov, Adamović, Altland, Batchelor, Belavin, Bushlanov, Bushlanov, Cardy, Chari, Di Francesco, Dlab, Donkin, Donkin, Dubail, Eberle, Feigin, Feigin, Feigin, Feigin, Finkelberg, Frenkel, Frenkel, Gaberdiel, Gainutdinov, Green, Gruzberg, Gruzberg, Gurarie, Gurarie, Gurarie, Gurarie, Gómez, Götz, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Jacobsen, Kassel, Kazhdan, Kazhdan, Kogan, Koo, Kytölä, Lusztig, Martin, Martin, Martin, Martin, Mathieu, Mathieu, Moore, Morin-Duchesne, Nahm, Pasquier, Pearce, Pearce, R. Vasseur, Rasmussen, Rasmussen, Rasmussen, Read, Read, Read, Rohsiepe, Semikhatov, Semikhatov, Tsuchiya, Vasseur, Westbury, Zirnbauer, Zirnbauer   +77 more
core   +1 more source