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Hints of 5d Fixed Point Theories from Non-Abelian T-duality

Yolanda Lozano, Eoin O Colgain, Diego Rodriguez-Gomez

TL;DR

The paper uses charge quantization, probe brane physics, and entanglement‑entropy computations to extract a holographic picture for a putative 5d fixed point dual to a non‑Abelian T‑duality of the Brandhuber‑Oz $AdS_6$ background. It identifies a two‑node quiver as the candidate dual CFT, with explicit relations between gauge‑group ranks and dual Page charges, and shows how Coulomb‑branch branes, instanton branes, and flavor branes organize into a consistent brane‑theoretic dictionary. A key issue is the global completion of the NATD geometry, which forces a cut‑off $R= rac{}{}igr[0, rac{ pi}{ } igr]$ and, in the compact regime, yields a depleted gauge factor, while non‑compact choices lead to undesirable continuous spectra. Overall, the work demonstrates how holographic considerations can guide the construction of 5d fixed point theories beyond standard AdS$_6$ geometries and highlights the central role of global data in non‑Abelian T‑duality.

Abstract

In this paper we investigate the properties of the putative 5d fixed point theory that should be dual, through the holographic correspondence, to the new supersymmetric AdS(6) solution constructed in Lozano et al. This solution is the result of a non-Abelian T-duality transformation on the known supersymmetric AdS(6) solution of massive Type IIA. The analysis of the charge quantization conditions seems to put constraints on the global properties of the background, which, combined with the information extracted from considering probe branes, suggests a 2-node quiver candidate for the dual CFT.

Hints of 5d Fixed Point Theories from Non-Abelian T-duality

TL;DR

The paper uses charge quantization, probe brane physics, and entanglement‑entropy computations to extract a holographic picture for a putative 5d fixed point dual to a non‑Abelian T‑duality of the Brandhuber‑Oz background. It identifies a two‑node quiver as the candidate dual CFT, with explicit relations between gauge‑group ranks and dual Page charges, and shows how Coulomb‑branch branes, instanton branes, and flavor branes organize into a consistent brane‑theoretic dictionary. A key issue is the global completion of the NATD geometry, which forces a cut‑off and, in the compact regime, yields a depleted gauge factor, while non‑compact choices lead to undesirable continuous spectra. Overall, the work demonstrates how holographic considerations can guide the construction of 5d fixed point theories beyond standard AdS geometries and highlights the central role of global data in non‑Abelian T‑duality.

Abstract

In this paper we investigate the properties of the putative 5d fixed point theory that should be dual, through the holographic correspondence, to the new supersymmetric AdS(6) solution constructed in Lozano et al. This solution is the result of a non-Abelian T-duality transformation on the known supersymmetric AdS(6) solution of massive Type IIA. The analysis of the charge quantization conditions seems to put constraints on the global properties of the background, which, combined with the information extracted from considering probe branes, suggests a 2-node quiver candidate for the dual CFT.

Paper Structure

This paper contains 24 sections, 108 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The D4-D8 brane system
  3. Supersymmetry
  4. The $AdS_6$ non-Abelian T-dual
  5. Supersymmetry
  6. Quantization conditions in the dual theory and the cut-off in $r$
  7. On compact vs non-compact $r$
  8. Towards a holographic interpretation of the non-Abelian T-dual
  9. Probing the Coulomb branch
  10. D5 branes
  11. D7 branes
  12. D7-branes from D5-branes
  13. Instantons
  14. D1 instantons
  15. D3 instantons
  16. ...and 9 more sections

Figures (1)

  • Figure 1: Schematic proposal for the dual CFT.