BPS Degeneracies and Superconformal Index in Diverse Dimensions

@article{Iqbal2012BPSDA,
  title={BPS Degeneracies and Superconformal Index in Diverse Dimensions},
  author={Amer Iqbal and Cumrun Vafa},
  journal={Physical Review D},
  year={2012},
  volume={90},
  pages={105031}
}
The authors show that many three and five-dimensional superconformal theories can be classified by the spectrum of massive supersymmetric (BPS) states that arise in consistent deformations of those theories. To demonstrate this the authors compute the full superconformal index in the original theories by means of counting the BPS states in the deformed ones. 
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References

SHOWING 1-10 OF 59 REFERENCES

Generalized Superconformal Index for Three Dimensional Field Theories

We introduce a generalization of the S^2 × S^1 superconformal index where background gauge fields with magnetic flux are coupled to the global symmetries of the theory. This allows one to gauge a…

Index for three dimensional superconformal field theories with general R-charge assignments

We derive a general formula of an index for three dimensional $ \mathcal{N} = 2 $ super-conformal field theories with general R-charge assignments to chiral multiplets by using the localization…

Indices for superconformal field theories in 3, 5 and 6 dimensions

We present a trace formula for a Witten type Index for superconformal field theories in d = 3, 5 and 6 dimensions, generalizing a similar recent construction in d = 4. We perform a detailed study of…

Catastrophes and the classification of conformal theories

Classification of Complete N = 2 Supersymmetric Theories in 4 Dimensions

We define the notion of a complete N = 2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch…

A New supersymmetric index

On the Landau-Ginzburg description of N=2 minimal models

The conjecture that N=2 minimal models in two dimensions are critical points of a superrenormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model…

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces

The complete superconformal index for N=6 Chern–Simons theory

$\mathcal{N} = 2$ quantum field theories and their BPS quivers

We explore the relationship between four-dimensional N = 2 quantum eld theories and their associated BPS quivers. For a wide class of theories including super-Yang-Mills theories, Argyres-Douglas…
...