TY - JOUR

T1 - Spherical T-Duality

AU - Bouwknegt, Peter

AU - Evslin, Jarah

AU - Mathai, Varghese

N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - We introduce spherical T-duality, which relates pairs of the form (P, H) consisting of a principal SU(2)-bundle (Formula presented.) and a 7-cocycle H on P. Intuitively spherical T-duality exchanges H with the second Chern class c2(P). Unless (Formula presented.), not all pairs admit spherical T-duals and the spherical T-duals are not always unique. Nonetheless, we prove that all spherical T-dualities induce a degree-shifting isomorphism on the 7-twisted cohomologies of the bundles and, when (Formula presented.), also their integral twisted cohomologies and, when (Formula presented.), even their 7-twisted K-theories. While spherical T-duality does not appear to relate equivalent string theories, it does provide an identification between conserved charges in certain distinct IIB supergravity and string compactifications.

AB - We introduce spherical T-duality, which relates pairs of the form (P, H) consisting of a principal SU(2)-bundle (Formula presented.) and a 7-cocycle H on P. Intuitively spherical T-duality exchanges H with the second Chern class c2(P). Unless (Formula presented.), not all pairs admit spherical T-duals and the spherical T-duals are not always unique. Nonetheless, we prove that all spherical T-dualities induce a degree-shifting isomorphism on the 7-twisted cohomologies of the bundles and, when (Formula presented.), also their integral twisted cohomologies and, when (Formula presented.), even their 7-twisted K-theories. While spherical T-duality does not appear to relate equivalent string theories, it does provide an identification between conserved charges in certain distinct IIB supergravity and string compactifications.

UR - http://www.scopus.com/inward/record.url?scp=84937759148&partnerID=8YFLogxK

U2 - 10.1007/s00220-015-2354-4

DO - 10.1007/s00220-015-2354-4

M3 - Article

SN - 0010-3616

VL - 337

SP - 909

EP - 954

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -