Holographic RG flow from the squashed to the round <math display="inline"><msup><mi>S</mi><mn>7</mn></msup></math>

Duboeuf, Bastien; Galli, Michele; Malek, Emanuel; Samtleben, Henning

doi:10.1103/PhysRevD.108.086002

Holographic RG flow from the squashed to the round $S^{7}$

Bastien Duboeuf
(
- ENS, Lyon, Lab. Phys.
)
,
Michele Galli
(
- Humboldt U., Berlin
)
,
Emanuel Malek
(
- Humboldt U., Berlin
)
,
Henning Samtleben
(
- ENS, Lyon, Lab. Phys. and
- IUF, Paris
)

Jun 20, 2023

19 pages

Published in:

Phys.Rev.D 108 (2023) 8, 086002

Published: Oct 3, 2023

e-Print:

2306.11789 [hep-th]

DOI:

10.1103/PhysRevD.108.086002 (publication)

Report number:

HU-EP-23/19

View in:

pdf

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Abstract: (APS)

We construct and analyze the domain-wall solution in

D = 11

supergravity connecting the

N = 1

,

{AdS}_{4} \times S_{squashed}^{7}

vacuum to the

N = 8

,

{AdS}_{4} \times S_{round}^{7}

vacuum. This domain wall describes the holographic renormalization group flow from an

Sp (2) \times Sp (1)

symmetric UV fixed point to the SO(8) symmetric IR fixed point. It breaks all supersymmetries which are (partially) restored at its endpoints. We show how recent techniques from exceptional field theory allow us to compute the quadratic couplings of all Kaluza-Klein (KK) fluctuations around the domain wall background, encoding all two-point correlators along the holographic RG flow.

Note:

19 pages, 6 figures

renormalization group: flow
fixed point: infrared
domain wall: background
holography
anti-de Sitter
exceptional
correlation function
fluctuation
Kaluza-Klein
supergravity

References(0)

Figures(6)

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Holographic RG flow from the squashed to the round S7

Citations per year

Holographic RG flow from the squashed to the round $S^{7}$