Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles

Author(s)

Biswas, Indranil ^{[1, 2]} ; Angel Calvo, Luis ^[3] ; Franco, Emilio ^[4] ; Garcia-Prada, Oscar ^[3]

Affiliation

^[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, Maharashtra - India

^[2] EISTI Univ Paris Seine, Dept Math, Ave Parc, F-95000 Cergy Pontoise - France

^[3] ICMAT Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Campus Cantoblanco, Madrid 28049 - Spain

^[4] Univ Porto, CMUP, Rua Campo Alegre 1021-1055, P-4169007 Porto - Portugal

• Document type: Journal article
• Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 142, p. 47-65, AUG 2019.
• Web of Science Citations: 0

Abstract

We present a systematic study of involutions on the moduli space M(G) of principal G-Higgs bundles over an elliptic curve X, where G is complex reductive affine algebraic group. The fixed point loci of these involutions are described, providing a large class of examples of (B, B, B), (B, A, A), (A, B, A) and (A, A, B)-branes in M(G). Our study leads to an explicit description of the moduli spaces of pseudo-real G-Higgs bundles over the elliptic curve X. (C) 2019 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 15/06696-2 - Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
• Grantee: Emilio Franco Gómez
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 12/16356-6 - Higgs bundles over elliptic curves
• Grantee: Emilio Franco Gómez
• Support Opportunities: Scholarships in Brazil - Post-Doctoral