2016/10/31 by Stefan Hohenegger, Amer Iqbal, Soo-Jong Rey · 2 citations
Physics and Astronomy · Mathematics · #hep-th #math.AG
paper · pdf · doi:10.1007/jhep07(2017)112
69 pages
arxiv created 2016/11/08 · arxiv updated 2017/09/13
A particular two-parameter class of little string theories can be described by M parallel M5-branes probing a transverse affine AN-1 singularity. We previously discussed the duality between the theories labelled by (N,M) and (M,N). In this work, we propose that these two are in fact only part of a larger web of dual theories. We provide evidence that the theories labelled by (N,M) and (\tfracNMk,k) are dual to each other, where k=gcd(N,M). To argue for this duality, we use a geometric realization of these little string theories in terms of F-theory compactifications on toric, non-compact Calabi-Yau threefolds XN,M which have a double elliptic fibration structure. We show explicitly for a number of examples that XNM/k,k is part of the extended moduli space of XN,M, i.e. the two are related through symmetry transformations and flop transitions. By working out the full duality map, we provide a simple check at the level of the free energy of the little string theories.