Self-Duality and Self-Similarity of Little String Orbifolds

Understand

We study a class of ${\cal N}=(1,0)$ little string theories obtained from orbifolds of M-brane configurations.

• These are realised in two different ways that are dual to each other: either as $M$ parallel M5-branes probing a transverse $A_{N-1}$ singularity or $N$ M5-branes probing an $A_{M-1}$ singularity.
• These backgrounds can further be dualised into toric, non-compact Calabi-Yau threefolds $X_{N,M}$ which have double elliptic fibrations and thus give a natural geometric description of T-duality of the little string theories.
• The little string partition functions are captured by the topological string partition function of $X_{N,M}$.