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

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 142, p. 47-65, AUG 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 15/06696-2 - Comportamento das branas sob a transformação da simetria espelho no espaço de moduli de fibrados de Higgs
• Beneficiário: Emilio Franco Gómez
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 12/16356-6 - Fibrados de Higgs sobre curvas elípticas
• Beneficiário: Emilio Franco Gómez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado