K-theory and Ramond-Ramond charge

We discuss the relation between the Ramond-Ramond charges of D-branes and the topology of Chan-Paton vector bundles. We show that a topologically nontrivial normal bundle induces RR charge and that the result fits in perfectly with the proposal that D-brane charge is the topology of the Chan-Paton bundle, regarded as an element of K-theory.

[1]  D. Freed,et al.  Anomalies in string theory with D-branes , 1999, hep-th/9907189.

[2]  D. Morrison.  New Trends in Algebraic Geometry: The geometry underlying mirror symmetry , 1996, alg-geom/9608006.

[3]  Edward Witten.  D-Branes And K-Theory , 1998, hep-th/9810188.

[4]  E. Witten,et al.  Anti-de Sitter Space And The Center Of The Gauge Group , 1998, hep-th/9807205.

[5]  Kostas Skenderis,et al.  The holographic Weyl anomaly , 1998, Journal of High Energy Physics.

[6]  E. Witten.  Baryons and branes in anti de Sitter space , 1998, hep-th/9805112.

[7]  E. Witten.  Anti-de Sitter space and holography , 1998, hep-th/9802150.

[8]  Zheng Yin,et al.  Anomalies, branes, and currents , 1997, hep-th/9710206.

[9]  C. Hull.  Non-abelian gravity and antisymmetric tensor gauge theory , 1997, hep-th/9708048.

[10]  M. Grisaru,et al.  Non-perturbative formulas for central functions of supersymmetric gauge theories , 1997, hep-th/9708042.

[11]  I. Bandos,et al.  Covariant Action for the Super-Five-Brane of M Theory , 1997, hep-th/9701149.

[12]  E. Witten.  Five-brane effective action in M theory , 1996, hep-th/9610234.

[13]  J. Harvey,et al.  I-brane inflow and anomalous couplings on D-branes , 1996, hep-th/9605033.

[14]  D. Morrison.  The Geometry Underlying Mirror Symmetry , 1996, alg-geom/9608006.

[15]  N. Nekrasov,et al.  Chiral Lagrangians, anomalies, supersymmetry, and holomorphy , 1996, hep-th/9606082.

[16]  I. Klebanov,et al.  Entropy of near-extremal black p-branes , 1996, hep-th/9604089.

[17]  P. Mitra.  Black Hole Entropy , 1996, hep-th/9603184.

[18]  E. Witten.  Five-branes and M theory on an orbifold , 1995, hep-th/9512219.

[19]  C. Vafa,et al.  D-branes and topological field theories , 1995, hep-th/9511222.

[20]  M. Douglas,et al.  Branes within branes , 1995, hep-th/9512077.

[21]  P. Townsend.  D-branes from M-branes , 1995, hep-th/9512062.

[22]  J. Polchinski,et al.  Dirichlet Branes and Ramond-Ramond charges. , 1995, Physical review letters.

[23]  A. Strominger,et al.  Fivebranes, membranes and non-perturbative string theory , 1995, hep-th/9507158.

[24]  M. Duff,et al.  Eleven-dimensional origin of string-string duality: A One loop test , 1995, hep-th/9506126.

[25]  E. Witten,et al.  A one-loop test of string duality , 1995, hep-th/9505053.

[26]  A. Strominger.  Massless black holes and conifolds in string theory , 1995, hep-th/9504090.

[27]  F. Wilczek,et al.  Quantum hair on black holes , 1992, hep-th/9201059.

[28]  N. Warner,et al.  Index Theorems in $N=2$ Superconformal Theories , 1988 .

[29]  J. Strathdee.  EXTENDED POINCARE SUPERSYMMETRY , 1987 .

[30]  P. Howe,et al.  Supersymmetry in six dimensions , 1983 .

[31]  Joe W. Harris,et al.  Principles of Algebraic Geometry , 1978 .

[32]  S. Chern,et al.  Characteristic forms and geometric invariants , 1974 .

[33]  F. Hirzebruch.  Topological methods in algebraic geometry , 1966 .