Results 51 to 60 of about 16,050 (140)

Perturbative sigma models, elliptic cohomology and the Witten genus [PDF]

open access: yes, 2016
We provide a differential cocycle model for elliptic cohomology with complex coefficients and use analytic methods to construct a cocycle representative for the Witten class in this language. Our motivation stems from the conjectural connection between 2-
Berwick-Evans, Daniel
core  

Twisted Superalgebras and Cohomologies of the N=2 Superconformal Quantum Mechanics

open access: yes, 2011
We prove that the invariance of the N=2 superconformal quantum mechanics is controlled by subalgebras of a given twisted superalgebra made of 6 fermionic (nilpotent) generators and 6 bosonic generators (including a central charge).
Akulov   +33 more
core   +1 more source

Link splitting deformation of colored Khovanov–Rozansky homology

open access: yesProceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp   +2 more
wiley   +1 more source

Review of Lattice Supersymmetry and Gauge-Gravity Duality

open access: yes, 2015
We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories.
Joseph, Anosh
core   +1 more source

Iwahori‐metaplectic duality

open access: yesJournal 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

Integrable lattice spin models from supersymmetric dualities

open access: yes, 2017
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram ...
Gahramanov, Ilmar, Jafarzade, Shahriyar
core   +1 more source

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

open access: yesFortschritte 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

The Geometric Phase in Supersymmetric Quantum Mechanics

open access: yes, 2008
We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection.
A. D. Shapere   +8 more
core   +1 more source

Evolutionary Algorithms for Multi‐Center Solutions

open access: yesFortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract Large classes of multi‐center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi‐center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black‐hole‐like throat.
Sami Rawash, David Turton
wiley   +1 more source

Flow Equation for Supersymmetric Quantum Mechanics

open access: yes, 2009
We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action.
A. Horikoshi   +14 more
core   +2 more sources

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