Results 21 to 30 of about 1,619 (61)

Possible alternative mechanism to SUSY: conservative extensions of the Poincar\'e group

open access: yes, 2018
A group theoretical mechanism is outlined, which can indecomposably extend the Poincar\'e group by the compact internal (gauge) symmetries at the price of allowing some nilpotent (or, more precisely: solvable) internal symmetries in addition.
AL Onishchik   +8 more
core   +1 more source

The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$ inflaton potentials

open access: yes, 2014
In this paper we address the general problem of including inflationary models exhibiting Starobinsky-like potentials into (symmetric) $\mathcal{N}=2$ supergravities.
Fré, P., Sorin, A. S., Trigiante, M.
core   +1 more source

N=2 structures on solvable Lie algebras: the c=9 classification

open access: yes, 1994
Let G be a finite-dimensional Lie algebra (not necessarily semisimple). It is known that if G is self-dual (that is, if it possesses an invariant metric) then there is a canonical N=1 superconformal algebra associated to its N=1 affinization---that is ...
A. Lichnerowicz   +23 more
core   +1 more source

Contractions of Low-Dimensional Lie Algebras

open access: yes, 2006
Theoretical background of continuous contractions of finite-dimensional Lie algebras is rigorously formulated and developed. In particular, known necessary criteria of contractions are collected and new criteria are proposed.
Barut A. O.   +38 more
core   +4 more sources

Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes

open access: yes, 2012
Four dimensional supergravity theories whose scalar manifold is a symmetric coset manifold U[D=4]/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions of these theories, spherically symmetric or not, are identified
A Ceresole   +99 more
core   +1 more source

Modeling General Asymptotic Calabi–Yau Periods

open access: yesFortschritte der Physik, Volume 73, Issue 7, July 2025.
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian   +2 more
wiley   +1 more source

On the classification of quantum W-algebras

open access: yes, 1991
In this paper we consider the structure of general quantum W-algebras. We introduce the notions of deformability, positive-definiteness, and reductivity of a W-algebra.
Bowcock, P., Watts, G
core   +2 more sources

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1990-2005, July 2025.
Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley   +1 more source

Limits of saturated ideals

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
wiley   +1 more source

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yes, 2015
We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-
Bazzoni, Giovanni   +2 more
core   +2 more sources

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