2005/11/30 by Igor Kriz, IGOR KRIZ, Hao Xing +1
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Cohomology #Conjecture #Homotopy and Cohomology in Algebraic Topology #Partition (number theory) #Partition function (quantum field theory) #Type (biology) #hep-th
paper · pdf · doi:10.1142/s0217751x0703532x
published as Int.J.Mod.Phys.A22:1279-1300,2007 · Some terminological clarifications, references added
arxiv created 2006/10/12 · openalex publication_date 2007/03/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Diaconescu, Moore and Witten proved that the partition function of type IIA string theory coincides (to the extent checked) with the partition function of M-theory. One of us (Kriz) and Sati proposed in a previous paper a refinement of the IIA partition function using elliptic cohomology and conjectured that it coincides with a partition function coming from F-theory. In this paper, we define the geometric term of the F-theoretical effective action on type IIA compactifications. In the special case when the first Pontrjagin class of space–time vanishes, we also prove a version of the Kriz–Sati conjecture by extending the arguments of Diaconescu–Moore–Witten. We also briefly discuss why even this special case allows interesting examples.