• Corpus ID: 119115825

R-Twisting and 4d/2d Correspondences

@article{Cecotti2010RTwistingA4,
  title={R-Twisting and 4d/2d Correspondences},
  author={Sergio Cecotti and Andrew Neitzke and Cumrun Vafa},
  journal={arXiv: High Energy Physics - Theory},
  year={2010}
}
We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particular, the monodromy operator should have finite order if the R-charges are rational. We verify this for a number of examples including those arising from pairs of ADE singularities on a Calabi-Yau threefold (some of which are dual to 6d (2,0) ADE theories suitably fibered over the plane). In these cases we find that our… 

Figures and Tables from this paper

Peculiar index relations, 2D TQFT, and universality of SUSY enhancement

We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories

Higher symmetries of 5D orbifold SCFTs

We determine the higher symmetries of 5d SCFTs engineered from M-theory on a C 3 / Γ background for Γ a finite subgroup of SU (3). This resolves a longstanding question as to how to extract this data

3d mirrors of the circle reduction of twisted A2N theories of class S

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver

More on the N = 2 superconformal systems of type D p ( G )

A large family of 4d N = 2 SCFT’s was introduced in 1210.2886. Its elements Dp(G) are labelled by a positive integer p ∈ N and a simply-laced Lie group G; their flavor symmetry is at least G. In the

On irregular singularity wave functions and superconformal indices

A bstractWe generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N). As an

Infinitely many 4D N=2 SCFTs with a=c and beyond

We study a set of four-dimensional N = 2 superconformal field theories (SCFTs) Γ̂(G) labeled by a pair of simply-laced Lie groups Γ and G. They are constructed out of gauging a number of Dp(G) and

On the superconformal index of Argyres–Douglas theories

We conjecture a closed-form expression for the Schur limit of the superconformal index of two infinite series of Argyres–Douglas (AD) superconformal field theories (SCFTs): the ( A 1 , A 2 n − 3 ) ?>

Argyres-Douglas theories and S-duality

A bstractWe generalize S-duality to N=2$$ \mathcal{N}=2 $$ superconformal field theories (SCFTs) with Coulomb branch operators of non-integer scaling dimension. As simple examples, we find minimal

Twistorial Topological Strings and a tt Geometry forN = 2 Theories in 4d

We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantization of the

Central charges of para-Liouville and Toda theories from M5-branes

We propose that N M5-branes, put on R/Zm with deformation parameters ǫ1,2, realize two-dimensional theory with ŜU(m)N symmetry and m-th para-WN symmetry. This includes the standard WN symmetry for m
...

References

SHOWING 1-10 OF 108 REFERENCES

Superconformal R charges and dyon multiplicities in N = 2 gauge theories

N=(2,2) theories in 1+1D exhibit a direct correspondence between the R charges of chiral operators at a conformal point and the multiplicities of Bogomol'nyi-Prasad-Sommerfield (BPS) kinks in a

Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

We define new invariants of 3d Calabi-Yau categories endowed with a stability structure. Intuitively, they count the number of semistable objects with fixed class in the K-theory of the category

Wall-crossing, Hitchin Systems, and the WKB Approximation

On the variation in the cohomology of the symplectic form of the reduced phase space

is called the momentum mapping of the Hamiltonian T-action. Given (1.1), the condition (1.2) just means that T acts along the fibers of J. For the basic definitions and properties of non-commutative

Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

To Professor Shoshichi Kobayashi on his 60th birthday 1. Introduction. In this paper we shall introduce a new family of varieties, which we call quiver varieties, and study their geometric

Framed BPS states

We consider a class of line operators in d = 4,N = 2 supersymmetric field theories which leave four supersymmetries unbroken. Such line operators support a new class of BPS states which we call

ADE singularities and coset models

Self-dual strings and N = 2 supersymmetric field theory

Surface operators in $ \mathcal{N} $ = 2 4d gauge theories

A bstract$ \mathcal{N} $ = 2 four dimensional gauge theories admit interesting half BPS surface operators preserving a (2, 2) two dimensional SUSY algebra. Typical examples are (2, 2) 2d sigma models

Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I

Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of
...