Bouwknegt, P.Evslin, J.Mathai, V.2015-08-202015-08-202015Communications in Mathematical Physics, 2015; 337(2):909-9540010-36161432-0916http://hdl.handle.net/2440/93753We introduce spherical T-duality, which relates pairs of the form (P, H) consisting of a principal SU(2)-bundle P→M and a 7-cocycle H on P. Intuitively spherical T-duality exchanges H with the second Chern class c 2(P). Unless dim(M)≤4, 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 dim(M)≤7, also their integral twisted cohomologies and, when dim(M)≤4, 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.en© Springer-Verlag Berlin Heidelberg 2015Journal article003002756910.1007/s00220-015-2354-40003535053000112-s2.0-849377591482-s2.0-84923278990184243Mathai, V. [0000-0002-1100-3595]