2013/02/05 by Sujay K. Ashok, Suresh Nampuri, Jan Troost · 9 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Bound state #Dilaton #Dirac (video compression format) #Domain wall (magnetism) #Heterotic string theory #String (physics) #String theory #Upper and lower bounds #Winding number #Zero mode #hep-th
paper · pdf · doi:10.1007/jhep04(2013)096
published in Journal of High Energy Physics 2013(4) (Springer Nature) · 38 pages
arxiv created 2013/02/05 · openalex publication_date 2013/04/01 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract We analyze zero mode counting problems for Dirac operators that find their origin in string theory backgrounds. A first class of quantum mechanical models for which we compute the number of ground states arises from a string winding an isometric direction in a geometry, taking into account its energy due to tension. Alternatively, the models arise from deforming marginal bound states of a string winding a circle, and moving in an orthogonal geometry. After deformation, the number of bound states is again counted by the zero modes of a Dirac operator. We count these bound states in even dimensional asymptotically linear dilaton backgrounds as well as in Euclidean Taub-NUT. We show multiple pole behavior in the fugacities keeping track of a U(1) charge. We also discuss a second class of counting problems that arises when these backgrounds are deformed via the application of a heterotic duality transformation. We discuss applications of our results to Appell-Lerch sums and the counting of domain wall bound states.