Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD

Abstract

We study four dimensional N = 2 supersymmetric gauge theories with matter multiplets.For all such models for which the gauge group is SU (2), we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.A number of new physical phenomena occur, such as chiral symmetry breaking that is driven by the condensation of magnetic monopoles that carry global quantum numbers.For those cases in which conformal invariance is broken only by mass terms, the formalism automatically gives results that are invariant under electric-magnetic duality. In one instance, this duality is mixed in an interesting way with SO(8) triality. 8/94

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

“…When this is done, the O7-plane splits nonperturbatively into two (p, q) branes. This was studied by Sen [23], who related the moduli space of the system to that of N = 2 Seiberg-Witten theory with four flavors [31]. The splitting can also be seen from the supergravity solutions of [26].…”

A holographic computation of the central charges ofd= 4, 𝒩 = 2 SCFTs

“…In one class the gauge coupling is exactly marginal (this is believed to happen in any N = 2 supersymmetric gauge theory with a vanishing one-loop beta function), giving rise to a family of SCFTs which become weakly coupled in some limit (see, e.g., [1]). …”

“…For a specific central charge of the D 4 theory the order N correction was computed in [25], and here we generalize this computation to all singularity types and to all central charges (though here we do not bother to carefully normalize this contribution, but rather we use the D 4 case to set our normalization). In addition, we provide arguments for the value of the order one contribution to the central charges, leading to an exact formula for the central charges for all values of N and G. 1 As a first application of our result, we test the dualities proposed in [15]. In that paper the central charge k G of the N = 1 E 6 and E 7 SCFTs was computed assuming the duality, and it was verified that this leads to consistent results for other computations.…”

Low energy dynamics of monopoles in supersymmetric Yang-Mills theories with hypermultiplets

“…It would be interesting to study the supersymmetric quantum mechanics derived in this paper and check the results in the context of Seiberg-Witten theories [31]. This has been done for example in [23] and [32] for pure SYM case.…”