M-strings, Elliptic Genera and N=4 String Amplitudes
Stefan Hohenegger,Amer Iqbal +1 more
Reads0
Chats0
TLDR
In this paper, the authors study mass-deformed N = 2 gauge theories from various points of view, including (p, q)-brane webs in type II string theory using Nekrasov's instanton calculus, (refined) topological string using the topological vertex formalism and M theory via the elliptic genus of certain M-strings configurations.Abstract:
We study mass-deformed N = 2 gauge theories from various points of view. Their partition functions can be computed via three dual approaches: firstly, (p,q)-brane webs in type II string theory using Nekrasov's instanton calculus, secondly, the (refined) topological string using the topological vertex formalism and thirdly, M theory via the elliptic genus of certain M-strings configurations. We argue for a large class of theories that these approaches yield the same gauge theory partition function which we study in detail. To make their modular properties more tangible, we consider a fourth approach by connecting the partition function to the equivariant elliptic genus of ℂ2 through a (singular) theta-transform. This form appears naturally as a specific class of one-loop scattering amplitudes in type II string theory on T2, which we calculate explicitly.read more
Citations
More filters
Journal ArticleDOI
6d Conformal matter
TL;DR: In this article, the Coulomb/tensor branch of (G, G′) conformal matter has been shown to be a (1, 0) superconformal system in six dimensions.
Journal ArticleDOI
6d Conformal Matter
TL;DR: In this paper, the Coulomb/tensor branch of (G,G') conformal matter was elucidated using the F-theory realization of these theories, which leads to novel duals for 5d affine quiver theories.
Journal ArticleDOI
Orbifolds of M-strings
TL;DR: In this article, the supersymmetric partition function of the M-theory was computed on a two-torus, with arbitrary supersymmetry preserving twists, using the topological vertex formalism.
Journal ArticleDOI
Geometric engineering, mirror symmetry and $ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $
TL;DR: In this article, the authors study compactification of 6-dimensional (1-0) theories via F-theory and employ mirror symmetry technology to solve for the effective 4d = 2-approximation for a large number of the theories including those associated with conformal matter.
Journal ArticleDOI
On Exceptional Instanton Strings
TL;DR: In this article, the 6d (1, 0) theories with a UV superconformal fixed point have been classified by a simple geometric engineering argument and a twisted S>>\s 2 compactification of the 4d $$ \mathcal{N}=2 $$ ``(left(0, 4\right) $$¯¯)
References
More filters
Book
A Course of Modern Analysis
TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
Book
Symmetric functions and Hall polynomials
TL;DR: In this paper, the characters of GLn over a finite field and the Hecke ring of GLs over finite fields have been investigated and shown to be symmetric functions with two parameters.
Journal ArticleDOI
Phases of N = 2 theories in two dimensions
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.
Journal ArticleDOI
Seiberg-Witten Prepotential from Instanton Counting
TL;DR: In this article, a two-parameter generalization of the Seiberg-Witten prepotential is presented, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.
Journal ArticleDOI
Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
TL;DR: In this paper, the authors developed techniques to compute higher loop string amplitudes for twisted N = 2 theories with ε = 3 (i.e. the critical case) by exploiting the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured by a master anomaly equation.