Magnons and spikes for $\mathcal{N}=2$ linear quivers and their non-Abelian T-duals

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1. Verfasser: Roychowdhury, Dibakar
Format: Preprint
Veröffentlicht: 2024
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author Roychowdhury, Dibakar
author_facet Roychowdhury, Dibakar
contents We compute the spectra associated with various semiclassical string states that propagate over $\mathcal{N}=2$ Gaiotto-Maldacena backgrounds. As an interesting special case, for the Abelian T- dual solution, we discover giant magnon and single spike configurations while imposing appropriate boundary conditions. However, for Sfetsos-Thompson backgrounds, one has to adopt a different string embedding which reveals ``modified'' dispersion relations both for magnons and spikes. These results boil down into the standard dispersion relations in the limit when the rank of the associated $SU(N_c)$ color gauge group becomes large enough. We further generalize our analysis in the presence of flavor D6 branes. Our analysis reveals a new set of dispersion relations, which shows that both magnons and spikes are ceased to exist in the presence of flavor excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2402_06897
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Magnons and spikes for $\mathcal{N}=2$ linear quivers and their non-Abelian T-duals
Roychowdhury, Dibakar
High Energy Physics - Theory
High Energy Physics - Phenomenology
We compute the spectra associated with various semiclassical string states that propagate over $\mathcal{N}=2$ Gaiotto-Maldacena backgrounds. As an interesting special case, for the Abelian T- dual solution, we discover giant magnon and single spike configurations while imposing appropriate boundary conditions. However, for Sfetsos-Thompson backgrounds, one has to adopt a different string embedding which reveals ``modified'' dispersion relations both for magnons and spikes. These results boil down into the standard dispersion relations in the limit when the rank of the associated $SU(N_c)$ color gauge group becomes large enough. We further generalize our analysis in the presence of flavor D6 branes. Our analysis reveals a new set of dispersion relations, which shows that both magnons and spikes are ceased to exist in the presence of flavor excitations.
title Magnons and spikes for $\mathcal{N}=2$ linear quivers and their non-Abelian T-duals
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2402.06897