Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions
Abstract We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) Σ2 × S 3 and (ii) Σ3 × S 3, where Σ2 = S 2 /Γ, ℝ2 /Γ, or ℍ2 /Γ, and Σ3 = S 3 /Γ, ℝ3 /Γ, or ℍ3 /Γ, with Γ a discrete group of symmetries, corresponding to NS5-branes wrapped on Σ2 and Σ3. The resulting theories...
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doaj-f66f2daa12c04cd4b6c88b4e0b4265ec2021-09-12T12:02:32ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021915510.1007/JHEP09(2021)052Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractionsK. C. Matthew Cheung0Rahim Leung1The Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonAbstract We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) Σ2 × S 3 and (ii) Σ3 × S 3, where Σ2 = S 2 /Γ, ℝ2 /Γ, or ℍ2 /Γ, and Σ3 = S 3 /Γ, ℝ3 /Γ, or ℍ3 /Γ, with Γ a discrete group of symmetries, corresponding to NS5-branes wrapped on Σ2 and Σ3. The resulting theories are a D = 5, N $$ \mathcal{N} $$ = 4 gauged supergravity coupled to three vector multiplets with scalar manifold SO(1, 1) × SO(5, 3)/(SO(5) × SO(3)) and gauge group SO(2) × (SO(2) ⋉ Σ 2 $$ {\ltimes}_{\Sigma_2} $$ ℝ4) which depends on the curvature of Σ2, and a D = 4, N $$ \mathcal{N} $$ = 2 gauged supergravity coupled to one vector multiplet and two hypermultiplets with scalar manifold SU(1, 1)/U(1) × G 2(2) /SO(4) and gauge group ℝ+ × ℝ+ for truncations (i) and (ii) respectively. Instead of carrying out the truncations at the 10-dimensional level, we show that they can be obtained directly by performing Inönü-Wigner contractions on the 5 and 4-dimensional gauged supergravity theories that come from consistent truncations of 11-dimensional supergravity associated with M5-branes wrapping Σ2 and Σ3. This suggests the existence of a broader class of lower-dimensional gauged supergravity theories related by group contractions that have a 10 or 11-dimensional origin.https://doi.org/10.1007/JHEP09(2021)052p-branesSupergravity Models |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
K. C. Matthew Cheung Rahim Leung |
spellingShingle |
K. C. Matthew Cheung Rahim Leung Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions Journal of High Energy Physics p-branes Supergravity Models |
author_facet |
K. C. Matthew Cheung Rahim Leung |
author_sort |
K. C. Matthew Cheung |
title |
Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions |
title_short |
Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions |
title_full |
Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions |
title_fullStr |
Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions |
title_full_unstemmed |
Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions |
title_sort |
wrapped ns5-branes, consistent truncations and inönü-wigner contractions |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-09-01 |
description |
Abstract We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) Σ2 × S 3 and (ii) Σ3 × S 3, where Σ2 = S 2 /Γ, ℝ2 /Γ, or ℍ2 /Γ, and Σ3 = S 3 /Γ, ℝ3 /Γ, or ℍ3 /Γ, with Γ a discrete group of symmetries, corresponding to NS5-branes wrapped on Σ2 and Σ3. The resulting theories are a D = 5, N $$ \mathcal{N} $$ = 4 gauged supergravity coupled to three vector multiplets with scalar manifold SO(1, 1) × SO(5, 3)/(SO(5) × SO(3)) and gauge group SO(2) × (SO(2) ⋉ Σ 2 $$ {\ltimes}_{\Sigma_2} $$ ℝ4) which depends on the curvature of Σ2, and a D = 4, N $$ \mathcal{N} $$ = 2 gauged supergravity coupled to one vector multiplet and two hypermultiplets with scalar manifold SU(1, 1)/U(1) × G 2(2) /SO(4) and gauge group ℝ+ × ℝ+ for truncations (i) and (ii) respectively. Instead of carrying out the truncations at the 10-dimensional level, we show that they can be obtained directly by performing Inönü-Wigner contractions on the 5 and 4-dimensional gauged supergravity theories that come from consistent truncations of 11-dimensional supergravity associated with M5-branes wrapping Σ2 and Σ3. This suggests the existence of a broader class of lower-dimensional gauged supergravity theories related by group contractions that have a 10 or 11-dimensional origin. |
topic |
p-branes Supergravity Models |
url |
https://doi.org/10.1007/JHEP09(2021)052 |
work_keys_str_mv |
AT kcmatthewcheung wrappedns5branesconsistenttruncationsandinonuwignercontractions AT rahimleung wrappedns5branesconsistenttruncationsandinonuwignercontractions |
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1717755313131618304 |