author={Babak Haghighat and Amer Iqbal and Can Kozçaz and Guglielmo Lockhart and Cumrun Vafa},
  journal={Communications in Mathematical Physics},
M2 branes suspended between adjacent parallel M5 branes lead to light strings, the ‘M-strings’. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that preserve 2d (2, 0) supersymmetry. In a codimension one subspace of parameters this reduces to the elliptic genus of the (4, 4) supersymmetric An-1 quiver theory in 2d. We contrast the elliptic genus of N M-strings with the (4, 4) sigma model on the N-fold symmetric product of $${{\mathbb{R}}^4}$$R4… 

Elliptic genus of E-strings

A bstractWe study a family of 2d N=0,4$$ \mathcal{N}=\left(0,\ 4\right) $$ gauge theories which describes at low energy the dynamics of E-strings, the M2-branes suspended between a pair of M5 and M9

The Enhancement of Supersymmetry in M-strings

We study two M5-branes on $A_{1}$ ALE space. We introduce some M2-branes suspended between the M5-branes. Then, the boundaries of M2-branes look like strings. We call them "M-strings". The M-strings

M & m Strings and Modular Forms

We study relations between M-strings (one-dimensional intersections of M2-branes and M5-branes) in six dimensions and m-strings (magnetically charged monopole strings) in five dimensions. For

A Lagrangian for self-dual strings

A bstractWe propose a Lagrangian for the low-energy theory that resides at the (1 + 1)-dimensional intersection of N semi-infinite M2-branes ending orthogonally on M M5-branes in ℝ1,2×ℂ4/ℤk$$

Wilson surfaces in M5-branes

A bstractWe study Wilson surface defects in 6d N=20$$ \mathcal{N}=\left(2,0\right) $$ superconformal field theories, engineered by semi-infinite M2-branes intersecting M5-branes. Two independent

Instanton-monopole correspondence from M-branes on $\mathbb S^1$ and little string theory

We study BPS excitations in M5-M2-brane configurations with a compact transverse direction, which are also relevant for type IIa and IIb little string theories. These configurations are dual to a

Self-Duality and Self-Similarity of Little String Orbifolds

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 $M$

F-Theory, spinning black holes and multi-string branches

A bstractWe study 5d supersymmetric black holes which descend from strings of generic N=1,0$$ \mathcal{N}=\left(1,\kern0.5em 0\right) $$ supergravity in 6d. These strings have an F-theory realization

Dual little strings from F-theory and flop transitions

A bstractA 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

Orbifolds of M-strings

We consider M-theory in the presence of M parallel M5-branes prob- ing a transverse AN−1 singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the



M theory and topological strings. 2.

The $R^2 F^{2g-2}$ terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera), are shown to have a

Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams

We continue to study 5d N = 1 supersymmetric field theories and their compactifications on a circle through brane configurations. We develop a model, which we call (p,q) Webs, which enables simple

Small Instantons, Little Strings and Free Fermions

We present new evidence for the conjecture that BPS correlation functions in the N=2 supersymmetric gauge theories are described by an auxiliary two dimensional conformal field theory. We study

Instantons on the 5-sphere and M5-branes

We calculate the partition functions of supersymmetric gauge theories on S^5, which acquire non-perturbative contributions from instanton loops wrapping its Hopf fiber. The instantons on the CP^2

On instantons as Kaluza-Klein modes of M5-branes

A bstractInstantons and W-bosons in 5d maximally supersymmetric Yang-Mills theory arise from a circle compactification of the 6d (2,0) theory as Kaluza-Klein modes and winding self-dual strings,

E strings and N=4 topological Yang-Mills theories

D-branes, open string vertex operators, and Ext groups

In this paper we explicitly work out the precise relationship between Ext groups and massless modes of D-branes wrapped on complex submanifolds of Calabi-Yau manifolds. Specifically, we explicitly

M-theory and a topological string duality

We show how the topological string partition function, which is known to capture the degeneracies of a gas of BPS spinning M2-branes in M-theory compactified to 5 dimensions, is related to a

A Massive Study of M2-brane Proposals

We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes:

Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories

Seiberg-Witten geometry of mass deformed N=2 superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify