Abstract
The moduli space of spiked instantons that arises in the context of the BPS/CFT correspondence [22] is realised as the moduli space of classical vacua, i.e. low-energy open string field configurations, of a certain stack of intersecting D1-branes and D5-branes in Type IIB string theory. The presence of a constant B-field induces an interesting dynamics involving the tachyon condensation.
Highlights
Gauge theories in four dimensions with N = 2 supersymmetry occupy a special place in a quantum field theorist’s landscape
The large amount of supersymmetry severely constrains the dynamics in the form of non-renormalisation theorems, existence of strong-weak dualities etc
Due to N = 2 supersymmetry, the full set of non-perturbative corrections to these observables can be expressed as integrals over instanton moduli space
Summary
The simplest case of the non-perturbative transitions alluded to above can be realised by adding an auxiliary stack of D3-branes intersecting with the original stack at a point This setup gives rise to the moduli space of crossed instantons. The full non-perturbative partition function of the gauge theory on this second stack of D3-branes is interpreted as an observable in the original gauge theory that encodes information about these transitions This observable can be written as the expectation value of a local operator inserted at the point of intersection in the original gauge theory [N3]. We obtain the moduli space of spiked instantons by studying the lowenergy field theory on the worldvolume of D1-branes probing a configuration of intersecting D5-branes which preserves N = (0, 2) supersymmetry on the common two dimensional intersection (this is T-dual to the setup described above).
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