On Ramond-Ramond fields and K-theory

By D. Freed, M. Hopkins. 2000

143 citations recorded by the source corpus.

A recent paper by Moore and Witten [1] explained that Ramond-Ramond fields in type-II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in that paper. In particular, we express the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework and show that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in type IIA and type IIB.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/52fb9c55b64158e6101ca19a4435022223f423eb

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. G. Moore
2. E. Witten
3. D. Freed
4. C. Vafa
5. U. Bunke
6. G. Segal
7. Washington Taylor
8. R. Dijkgraaf

In Nuclear and High Energy Physics

1. E. Witten
2. C. Vafa
3. G. Moore
4. Frederik Denef
5. N. Seiberg
6. Washington Taylor
7. Marcos Mariño
8. Ashoke Sen

Citations in the corpus

• D-brane probes, RR tadpole cancellation and K theory charge (2000, unknown): “CERN-TH/2000-331 November 2000 1angel.uranga@cern.ch”
• Triples, Fluxes, and Strings (2001, background): “There are also arguments suggesting that the RR fields themselves, and in particular their flux quantization, should be formulated in terms of Ktheory [77,78].”
• Exotic Branes in String Theory (2012, background): “40) by two to get the correct result [150, 151].”
• Heisenberg groups and noncommutative fluxes (2006, background): “The Dirac quantization law on the fluxes is [43][44][9][45]”
• Uniqueness of smooth extensions of generalized cohomology theories (2009, background): “Furthermore, the quantization conditions motivated the consideration of underlying cohomology theories different from ordinary cohomology theory like K-theory; for example, see [12, 11, 22].”
• Overview of K theory applied to strings (2000, background): “K-theory is relevant to understanding RR fields as well as charges [6-8,3].”
• Type IIA Moduli Stabilization (2005, background): “The K-theoretic classification of fluxes [23] modifies the condition (3.”
• Holographic Action for the Self-Dual Field (2006, background): “An analogous function also plays an important role in the theory of RR fields [40, 41, 34].”
• A Derivation of K theory from M theory (2000, background): “A unified approach to brane anomalies for both Type IIA and Type IIB in the if-theory framework has also been proposed [3].”
• Quadratic functions in geometry, topology, and M-theory (2002, background): “It has already proved useful in anomaly cancellation [ 30 ], and it appears to be a natural language for describing fields and their action functionals.”