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The Non-Compact Weyl Equation
Anastasia Doikou, Theodora Ioannidou
A non-compact version of the Weyl equation is proposed, based on the infinite dimensional spin zero representation of the sl_2 algebra. Solutions of the aforementioned equation are…
BPS Monopoles and Open Spin Chains
Anastasia Doikou, Theodora Ioannidou
We construct SU(n+1) BPS spherically symmetric monopoles with minimal symmetry breaking by solving the full Weyl equation. In this context, we explore and discuss the existence of…
Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles
Anastasia Doikou, Theodora Ioannidou
We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simpli…
Systematic classical continuum limits of integrable spin chains and emerging novel dualities
Jean Avan, Anastasia Doikou, Konstadinos Sfetsos
We examine certain classical continuum long wave-length limits of prototype integrable quantum spin chains. We define the corresponding construction of classical continuum Lax oper…
Junction type representations of the Temperley-Lieb algebra and associated symmetries
Anastasia Doikou, Nikos Karaiskos
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of th…