D-branes, surface operators, and ADHM quiver representations

Author(s)

Bruzzo, Ugo ^{[1, 2]} ; Chuang, Wu-Yen ^[3] ; Diaconescu, Duiliu-Emanuel ^[4] ; Jardim, Marcos ^[5] ; Pan, G. ^[4] ; Zhang, Yi ^[4]

Affiliation

^[1] Ist Nazl Fis Nucl, Sez Trieste, Trieste - Italy

^[2] Univ Penn, Dept Math, David Rittenhouse Lab, Philadelphia, PA 19104 - USA

^[3] Natl Taiwan Univ, Dept Math, Taipei 10764 - Taiwan

^[4] Rutgers State Univ, NHETC, Piscataway, NJ 08854 - USA

^[5] Univ Estadual Campinas, IMECC, Dept Math, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: Advances in Theoretical and Mathematical Physics; v. 15, n. 3, p. 849-911, JUN 2011.
• Web of Science Citations: 3

Abstract

A supersymmetric quantum mechanical model is constructed for BPS states bound to surface operators in five dimensional SU(r) gauge theories using D-brane engineering. This model represents the effective action of a certain D2-brane configuration, and is naturally obtained by dimensional reduction of a quiver (0, 2) gauged linear sigma model. In a special stability chamber, the resulting moduli space of quiver representations is shown to be smooth and isomorphic to a moduli space of framed quotients on the projective plane. A precise conjecture relating a K-theoretic partition function of this moduli space to refined open-string invariants of toric Lagrangian branes is formulated for conifold and local P-1 x P-1 geometries. (AU)

• FAPESP's process: 05/04558-0 - Symmetries in geometry, topology and mathematical physics
• Grantee: Alcibiades Rigas
• Support Opportunities: Research Projects - Thematic Grants