2019/11/17 by Brice Bastian, Bastian, Brice, Stefan Hohenegger +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1911.07280
54 pages
arxiv created 2019/11/17 · arxiv updated 2019/11/19
We continue our study of symmetries of a class of little string theories of A-type, which are engineered by N parallel M5-branes probing a flat transverse space. Extending the analysis of the companion paper, we discuss the part of the free energy that is sensitive to the details of the \mathfrakaN-1 gauge structure, by computing explicit series expansions for the cases N=2,3,4. Based on these examples, we find a class of functions that we conjecture to resum whole sectors in the instanton expansion of the free energy and which combine in a natural manner its modular properties as well as the gauge symmetry. These functions have previously been introduced in the literature as the generating functions of multi-divisor sums and in the case N=2 can also be cast into the form of a generalised Eisenstein series. We use these resummed contributions to the free energy to perform a number of non-trivial consistency checks for our results.