arXiv subjects

Bogdan Stefański Jr

Publications and source records attributed to Bogdan Stefański Jr.

4 recordsLinked to original sources

arXiv2026

BRST quantization of the induced gauge theory for the Higgs-branch CFT${}_2$

We study Witten's induced gauge theory associated with the D1-D5 Higgs-branch CFT${}_2$, in which the non-dynamical vector multiplet becomes reanimated by integrating out the fundamental hypermultiplets. We propose a BRST quantisation of this theory and derive its induced propagators. We show that the ghost sector first contributes at subleading order, that the induced $Aϕ^2$ vertex satisfies the Slavnov-Taylor identity and that gauge-invariant correlators are independent of the gauge parameter. Together with our chosen regularization prescription, this gives a perturbative framework for computing observables in the induced theory.

hep-th↗

arXiv2015

The $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathrm{S}^3\times\mathrm{S}^1$ worldsheet S matrix

We investigate type IIB strings on $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathrm{S}^3\times\mathrm{S}^1$ with mixed Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. By suitably gauge-fixing the closed string Green-Schwarz (GS) action of this theory, we derive the off-shell symmetry algebra and its representations. We use these to determine the non-perturbative worldsheet S-matrix of fundamental excitations in the theory. The analysis involves both massive and massless modes in complete generality. The S-matrix we find involves a number of phase factors, which in turn satisfy crossing equations that we also determine. We comment on the nature of the heaviest modes of the theory, but leave their identification either as composites or bound-states to a future investigation.

hep-th↗

arXiv2013

Supermembrane actions for Gaiotto-Maldacena backgrounds

We write down the supermembrane actions for M-theory backgrounds dual to general ${\cal N}=2$ four-dimensional superconformal field theories. The actions are given to all orders in fermions and are in a particular $κ$-gauge. When an extra U(1) isometry is present our actions reduce to $κ$-gauge fixed Green-Schwarz actions for the corresponding Type IIA backgrounds.

hep-th↗

arXiv2011

A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs

We present a systematic search for Type IIB supergravity solutions whose spacetimes include AdS5 and S2 factors, which would be candidate duals to N = 2 four-dimensional Superconformal field theories. The candidate solutions encode the SU(2) R-symmetry geometrically on the S2 and an additional Killing vector generates the U(1) R-symmetry. By analysing the Killing spinor equations we show that no such solutions exist. This suggests that, if Type IIB backgrounds dual to N = 2 SCFTs exist, the SU(2) R-symmetry is realised non-geometrically. Finally, we also show that, in the context of both N = 1 and N = 2 Type IIB backgrounds with an AdS5 factor, the only candidate U(1) R-symmetry Killing vector directions are the ones that appear for generic values of the Killing spinors; no further Killing vectors exist for special values of the Killing spinors.

hep-th↗