TY - JOUR

T1 - Type IIB string theory, S-duality, and generalized cohomology

AU - Kriz, Igor

AU - Sati, Hisham

N1 - Funding Information:
I.K. is supported by NSF grant DMS 0305853, and H.S. is supported by the Australian Research Council.

PY - 2005/5/30

Y1 - 2005/5/30

N2 - In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would still not resolve this issue. We propose instead a connection of S-duality with elliptic cohomology, and a possible T-duality relation of this to a previous proposal for IIA theory, and higher-dimensional limits. In the process, we obtain some other results which may be interesting on their own. In particular, we prove a conjecture of Witten that the 11-dimensional spin cobordism group vanishes on K (ℤ, 6), which eliminates a potential new θ-angle in type IIB string theory.

AB - In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would still not resolve this issue. We propose instead a connection of S-duality with elliptic cohomology, and a possible T-duality relation of this to a previous proposal for IIA theory, and higher-dimensional limits. In the process, we obtain some other results which may be interesting on their own. In particular, we prove a conjecture of Witten that the 11-dimensional spin cobordism group vanishes on K (ℤ, 6), which eliminates a potential new θ-angle in type IIB string theory.

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U2 - 10.1016/j.nuclphysb.2005.02.016

DO - 10.1016/j.nuclphysb.2005.02.016

M3 - Article

AN - SCOPUS:17844400950

SN - 0550-3213

VL - 715

SP - 639

EP - 664

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -