D-Brane Instantons and K-Theory Charges

By J. Maldacena, G. Moore, N. Seiberg. 2001

231 citations recorded by the source corpus.

We discuss some physical issues related to the K-theoretic classification of D-brane charges, putting an emphasis on the role of D-brane instantons. The relation to D-instantons provides a physical interpretation to the mathematical algorithm for computing K-theory known as the ``Atiyah-Hirzebruch spectral sequence''. Conjecturally, a formulation in terms of D-instantons leads to a computationally useful formulation of K-homology in general. As an application and illustration of this viewpoint we discuss some issues connected with D-brane charges associated with branes in WZW models. We discuss the case of SU(3) in detail, and comment on the general picture of branes in SU(N), based on a recent result of M. Hopkins.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8f032c834b667ca0fd9eaed6aa5c2d1c144c87d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. A. Uranga
2. G. Moore
3. F. Marchesano
4. Ralph Blumenhagen
5. Gary Shiu
6. D. Lust
7. J. Maldacena
8. P. Bouwknegt

In Nuclear and High Energy Physics

1. Ralph Blumenhagen
2. D. Lust
3. F. Marchesano
4. Gary Shiu
5. A. Uranga
6. Eran Palti
7. T. Weigand
8. Luis E Ibáñez

In Statistical and Nonlinear Physics

1. F. Marchesano
2. A. Uranga
3. Ralph Blumenhagen
4. D. Lust
5. Gary Shiu
6. Luis E Ibáñez
7. G. Moore
8. B. Kors

Citations in the corpus

• D-brane charges in five-brane backgrounds (2001, background): “The fact that such M2 brane instantons break the U(1) symmetry is intimately related to the picture advocated in [19].”
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, background): “We find that this is guaranteed as long as the Freed-Witten anomaly [29,30] induced on the world-volume of D6-branes by the fluxes cancels.”
• Orientifolds of K3 and Calabi-Yau manifolds with intersecting D-branes (2002, background): “This can be understood as D-brane instantons [100], where the instanton background violates the usual conservation of the D-brane homology class.”
• D branes on group manifolds and fusion rings (2002, methodology): “Even though the conjugacy classes C(h) are contractible within G, the D-branes correspond to a stable configuration due to the process of flux stabilization [8, 16, 17].”
• D-brane Deconstructions in IIB Orientifolds (2008, background): “A sampling of papers on this topic is [90, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 117, 118, 119].”
• F-term axion monodromy inflation (2014, background): “The physical picture for these phenomena, based on the so-called Freed-Witten condition,(6) was proposed in [63] (see also [64–70]).”