Zobrazeno 1 - 10
of 297
pro vyhledávání: '"Rasmussen, Jorgen"'
This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces. Next, we present a construction of homogeneous supermanifolds by means
Externí odkaz:
http://arxiv.org/abs/2411.13864
Autor:
Pearce, Paul A., Rasmussen, Jorgen
We consider the $A$ series and exceptional $E_6$ Restricted Solid-On-Solid lattice models as prototypical examples of the critical Yang-Baxter integrable two-dimensional $A$-$D$-$E$ lattice models. We focus on type I theories which are characterized
Externí odkaz:
http://arxiv.org/abs/2409.06236
Autor:
Poncini, Xavier, Rasmussen, Jorgen
Publikováno v:
Nucl. Phys. B 994 (2023) 116308
Not all planar algebras can encode the algebraic structure of a Yang--Baxter integrable model described in terms of a so-called homogeneous transfer operator. In the family of subfactor planar algebras, we focus on the ones known as singly generated
Externí odkaz:
http://arxiv.org/abs/2302.11712
Autor:
Poncini, Xavier, Rasmussen, Jorgen
Publikováno v:
J. Stat. Mech. (2023) 073101
The Quantum Inverse Scattering Method is a scheme for solving integrable models in $1+1$ dimensions, building on an $R$-matrix that satisfies the Yang--Baxter equation and in terms of which one constructs a commuting family of transfer matrices. In t
Externí odkaz:
http://arxiv.org/abs/2206.14462
Publikováno v:
Nucl. Phys. B981 (2022) 115857
The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogene
Externí odkaz:
http://arxiv.org/abs/2112.03991
Autor:
Rasmussen, Jørgen, Walton, Mark A.
The weights of finite-dimensional representations of simple Lie algebras are naturally associated with Weyl polytopes. Representation characters decompose into multiplicity-free sums over the weights in Weyl polytopes. The Brion formula for these Wey
Externí odkaz:
http://arxiv.org/abs/2109.13314
We introduce a dense and a dilute loop model on causal dynamical triangulations. Both models are characterised by a geometric coupling constant $g$ and a loop parameter $\alpha$ in such a way that the purely geometric causal triangulation model is re
Externí odkaz:
http://arxiv.org/abs/2104.14176
Publikováno v:
Nucl. Phys. B 967 (2021) 115397
We investigate a class of reducible yet indecomposable modules over the $N=2$ superconformal algebras. These so-called staggered modules exhibit a non-diagonalisable action of the Virasoro mode $L_{0}$. Using recent results on the coset construction
Externí odkaz:
http://arxiv.org/abs/2102.05193
Galilean conformal algebras can be constructed by contracting a finite number of conformal algebras, and enjoy truncated $\mathbb{Z}$-graded structures. Here, we present a generalisation of the Galilean contraction procedure, giving rise to Galilean
Externí odkaz:
http://arxiv.org/abs/2002.08637