# Dual little strings and their partition functions

@article{Bastian2017DualLS, title={Dual little strings and their partition functions}, author={Brice Bastian and Stefan Hohenegger and Amer Iqbal and S. J. Rey}, journal={Physical Review D}, year={2017}, volume={97}, pages={106004} }

We study the topological string partition function of a class of toric, double elliptically fibered Calabi-Yau threefolds $X_{N,M}$ at a generic point in the K\"ahler moduli space. These manifolds engineer little string theories in five dimensions or lower and are dual to stacks of M5-branes probing a transverse orbifold singularity. Using the refined topological vertex formalism, we explicitly calculate a generic building block which allows to compute the topological string partition function…

## 21 Citations

### Triality in Little String Theories

- Mathematics
- 2018

We study a class of eight-supercharge little string theories (LSTs) on the world-volume of $N$ M5-branes with transverse space $\mathbb{S}^{1}\times (\mathbb{C}^2/\mathbb{Z}_M)$. These M-brane…

### Beyond triality: dual quiver gauge theories and little string theories

- MathematicsJournal of High Energy Physics
- 2018

A bstractThe web of dual gauge theories engineered from a class of toric Calabi-Yau threefolds is explored. In previous work, we have argued for a triality structure by compiling evidence for the…

### Dihedral symmetries of gauge theories from dual Calabi-Yau threefolds

- MathematicsPhysical Review D
- 2019

Recent studies (arXiv:1610.07916, arXiv:1711.07921, arXiv:1807.00186) of six-dimensional supersymmetric gauge theories that are engineered by a class of toric Calabi-Yau threefolds $X_{N,M}$, have…

### The ABCDEFG of little strings

- Mathematics
- 2017

Starting from type IIB string theory on an $ADE$ singularity, the (2,0) little string arises when one takes the string coupling $g_s$ to 0. In this setup, we give a unified description of the…

### Symmetric orbifold theories from little string residues

- Mathematics
- 2020

We study a class of Little String Theories (LSTs) of A type, described by $N$ parallel M5-branes spread out on a circle and which in the low energy regime engineer supersymmetric gauge theories with…

### Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs

- Mathematics
- 2017

A bstractWe apply the modular approach to computing the topological string partition function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira singularities in the fiber.…

### Quasi-Jacobi forms, elliptic genera and strings in four dimensions

- MathematicsJournal of High Energy Physics
- 2021

We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain…

### Topological string theory and applications

- Mathematics
- 2019

This thesis focuses on various applications of topological string theory based on different types of Calabi-Yau (CY) manifolds. The first type considered is the toric CY manifold, which is intimately…

### From little string free energies towards modular graph functions

- MathematicsJournal of High Energy Physics
- 2020

We study the structure of the non-perturbative free energy of a one-parameter class of little string theories (LSTs) of A-type in the so-called unrefined limit. These theories are engineered by N…

### Diagrammatic expansion of non-perturbative little string free energies

- Mathematics
- 2020

In arXiv:1911.08172 we have studied the single-particle free energy of a class of Little String Theories of A-type, which are engineered by $N$ parallel M5-branes on a circle. To leading instanton…

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