The Deligne-Hitchin moduli space of a Riemann surface is the complex analytic reincarnation of the twistor space of the hyper-kaehler moduli space of solutions of Hitchin’s selfduality equations. It is constructed by gluing the moduli spaces of lambda-connections on the Riemann surface with that of the complex conjugate Riemann surface. The twistor lines correspond to solutions of the self-duality equations. In this talk I will show that the Deligne-Hitchin moduli space contains various other complex lines which (in the rank 2 case) give rise to equivariant harmonic maps into the 3-sphere, anti-deSitter and deSitter 3-space. The talk is based on joint work with Lynn Heller, and on joint work with Indranil Biswas and Markus Roeser.
The ICTS Math-Phys series are virtual seminars at the intersection of mathematics (geometry, algebra, representation theory, higher categories, TQFT, ...) and theoretical physics (QFT, string theory, condensed matter, ...). The purpose of this series is to bring together mathematicians and physicists around topics of common interest and foster interdisciplinary discussions.
For any enquiries regarding the seminar, kindly contact mathphysicsseminar@icts.res.in.
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