Masses, sheets and rigid SCFTs

A Balasubramanian, J Distler - arXiv preprint arXiv:1810.10652, 2018 - arxiv.org
We study mass deformations of certain three dimensional $\mathcal {N}= 4$ Superconformal
Field Theories (SCFTs) that have come to be called $ T^\rho [G] $ theories. These are …

Invariant Koszul form of homogeneous bounded domains and information geometry structures

F Barbaresco - Progress in Information Geometry: Theory and …, 2021 - Springer
Abstract In 1955, Jean-Louis Koszul has written a seminal paper entitled “Sur la forme
hermitienne canonique des espaces homogènes complexes “. Let G be a Lie group and let …

Universal families of twisted cotangent bundles

P Crooks - arXiv preprint arXiv:2306.06439, 2023 - arxiv.org
Given a complex algebraic group $ G $ and complex $ G $-variety $ X $, one can study the
affine Hamiltonian Lagrangian (AHL) $ G $-bundles over $ X $. Lisiecki indexes the …

An atlas adapted to the Toda flow

DM Torres, C Tomei - arXiv preprint arXiv:1909.02676, 2019 - arxiv.org
We introduce an atlas adapted to the Toda flow on the manifold of full flags of any non-
compact real semisimple Lie algebra, and on its Hessenberg-type submanifolds. In our local …

Canonical domains for coadjoint orbits

D Martínez Torres - Journal of the London Mathematical …, 2023 - Wiley Online Library
This paper describes two real analytic symplectomorphisms defined on appropriate dense
open subsets of any coadjoint orbit of a compact semisimple Lie algebra. The first …

An atlas adapted to the Toda flow

D Martínez Torres, C Tomei - … Mathematics Research Notices, 2023 - academic.oup.com
We describe an atlas adapted to the Toda flow on the manifold of full flags of any non-
compact real semisimple Lie algebra and on its Hessenberg-type submanifolds. We show …