$DE$-type little strings from glued brane webs
Sung-Soo Kim, Yuji Sugimoto, Xing-Yue Wei, Futoshi Yagi

TL;DR
This paper develops new brane web configurations for D- and E-type little string theories using advanced gluing techniques, enabling the computation of their supersymmetric partition functions on Omega-deformed spaces.
Contribution
It introduces a novel gluing method for little string theories via brane webs, generalizing topological vertex techniques to compute partition functions for D- and E-type cases.
Findings
Computed refined partition functions for D4 and D5 little string theories.
Extended the gluing approach to E6 little string theory.
Demonstrated consistency with known results and discussed higher rank generalizations.
Abstract
We propose brane web configurations for -type and -type little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri-/quadri-valent gluing is a powerful way of computing 5d/6d partition functions for supersymmetric gauge theories based on the topological vertex. We generalize the gluing techniques to little string theories by introducing a new compact direction and compute their supersymmetric partition functions on Omega-deformed . As concrete examples, we consider little string theories arising from Type IIB NS5-branes probing or singularity. Their effective gauge theory descriptions as the affine or quiver gauge theory can be realized with quadrivalent or trivalent gluing, respectively. Based on these gluings of 5-brane webs, we compute their refined partition functions and…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Algebraic structures and combinatorial models
