activity
19972022
most citedNonassociative tori and applications to T-duality

134 citations · 390 across the 16 of their papers we have counts for

collaborators

18 papers

math.RT2022

Tensor powers of adjoint representations ot classical Lie groups

Keith Hannabuss

Exploiting particular features of classical groups, simple constructions are given for the irreducible constituents of the tensor square of the adjoint modules and the leading term…

cond-mat.mes-hall2017★ 7 cited

T-duality and the bulk-boundary correspondence

Keith C. Hannabuss

String-theoretic T-duality can be exploited to simplify some features of the bulk-boundary correspondence in condensed matter theory. This paper surveys how T-duality links positio…

hep-th2016★ 16 cited

T-duality simplifies bulk-boundary correspondence: the noncommutative case

Keith C. Hannabuss, Varghese Mathai, Guo Chuan Thiang

We state and prove a general result establishing that T-duality simplifies the bulk-boundary correspondence, in the sense of converting it to a simple geometric restriction map. Th…

hep-th2015★ 7 cited

T-duality trivializes bulk-boundary correspondence: the parametrised case

Keith Hannabuss, Varghese Mathai, Guo Chuan Thiang

We state a general conjecture that T-duality trivialises a model for the bulk-boundary correspondence in the parametrised context. We give evidence that it is valid by proving it i…

math.RT2012★ 1 cited

Dimensions of Higher Extensions for SL_2

Karin Erdmann, Keith C. Hannabuss, Alison E. Parker

We analyse the recursive formula found for various Ext groups for $\SL_2(k)$, a field of characteristic , and derive various generating functions for these groups. We use th…

math.QA2010★ 2 cited

Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles

K. C. Hannabuss, V. Mathai

In this paper, we initiate the study of nonassociative strict deformation quantization of C*-algebras with a torus action. We shall also present a definition of nonassociative prin…