2017/11/30 by Brice Bastian, Stefan Hohenegger, Amer Iqbal +1 · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.97.046004
published as Phys. Rev. D 97, 046004 (2018) · 49 pages
arxiv created 2017/12/05 · arxiv updated 2018/02/14
We study a class of eight-supercharge little string theories (LSTs) on the world-volume of N M5-branes with transverse space \mathbbS1× (ℂ2/ℤM). These M-brane configurations compactified on a circle are dual to M D5-branes intersecting N NS5-branes on \mathbbT2× ℝ7,1 as well as to F-theory compactified on a toric Calabi-Yau threefold XN,M. We argue that the Kähler cone of XN,M admits three regions associated with weakly coupled quiver gauge theories of gauge groups [U(N)]M, [U(M)]N and [U((NM)/(k))]k where k=gcd(N,M). These provide low-energy descriptions of different LSTs. The duality between the first two gauge theories is well known and is a consequence of the S-duality between D5- and NS5-branes or the T-duality of the LSTs. The triality involving the third gauge theory is new and we demonstrate it using several examples. We also discuss implications of this triality for the W-algebras associated with the Alday-Gaiotto-Tachikawa dual theories.