Abstract

We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes. The models obtained by this procedure are \U0001d4a9 = 1 linear quivers with unitary, symplectic and orthogonal gauge groups, bifundamental and tensorial matter. Remarkably, models that are not dual in the unoriented case can have the same central charges and superconformal index after the projection. The reason for this behavior rests upon the ubiquitous presence of adjoint fields with R-charge one. We claim that the presence of such fields is at the origin of the notion of inherited S-duality on the models’ conformal manifold.

Highlights

  • A generalization to N = 2 elliptic models has been provided in [4]

  • We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes

  • Such a construction generalizes the fact that S-duality for N = 2 SU(Nc) SQCD with Nf = 2Nc reduces to Seiberg duality after perturbing the superpotential with a mass term for the adjoint field in the N = 2 vector multiplet [9, 10]

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Summary

Remarks on inherited S-duality

In order to prove this claim in [18] the authors added to the superpotential (2.1) another mass term, say for Φ2, and observed that the holomorphic quantities depend only on the product m2m3. This allowed them to identify the marginal parameter of the N = 1 gauge theory with the holomorphic gauge coupling of the N = 4 theory. An analogous discussion has been pursued in [9, 10] for the case of N = 2 Nf = 2Nc SQCD In this case the inherited S-duality corresponds to Seiberg duality. This last case will play a crucial role in our analysis and for this reason we will discuss it in more detail

A lesson from N = 1 SQCD
S-duality and inherited dualities
N = 2 S-dualities from orientifold projections
A general classification
Inherited duality for quiver theories
Relation to N = 2 quiver theories
A further check from stringy instantons In this section we discuss a limiting case of the duality
Explicit examples
N = 4 ng = 0
N = 1 ng = 0
N = 2 ng = 1
N = 2 ng = 2
N = 1 ng = 1
N = 1 ng = 2
The Lpqp family
Conclusions
Full Text
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