scholarly journals Spheres, Generalised Parallelisability and Consistent Truncations

2017 ◽  
Vol 65 (10-11) ◽  
pp. 1700048 ◽  
Author(s):  
Kanghoon Lee ◽  
Charles Strickland-Constable ◽  
Daniel Waldram
Keyword(s):  
Consistent Truncations

scholarly journals Systematics of consistent truncations from generalised geometry

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
Davide Cassani ◽  
Grégoire Josse ◽  
Michela Petrini ◽  
Daniel Waldram
Keyword(s):  
Consistent Truncations

scholarly journals $$ \mathcal{N} $$ = 2 consistent truncations from wrapped M5-branes

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Davide Cassani ◽  
Grégoire Josse ◽  
Michela Petrini ◽  
Daniel Waldram
Keyword(s):  
Riemann Surface ◽  
Gauge Group ◽  
Tangent Bundle ◽  
Dimensional Manifold ◽  
Five Dimensions ◽  
Intrinsic Torsion ◽  
Consistent Truncations

Abstract We discuss consistent truncations of eleven-dimensional supergravity on a six-dimensional manifold M, preserving minimal $$ \mathcal{N} $$ N = 2 supersymmetry in five dimensions. These are based on GS ⊆ USp(6) structures for the generalised E6(6) tangent bundle on M, such that the intrinsic torsion is a constant GS singlet. We spell out the algorithm defining the full bosonic truncation ansatz and then apply this formalism to consistent truncations that contain warped AdS5×wM solutions arising from M5-branes wrapped on a Riemann surface. The generalised U(1) structure associated with the $$ \mathcal{N} $$ N = 2 solution of Maldacena-Nuñez leads to five-dimensional supergravity with four vector multiplets, one hypermultiplet and SO(3) × U(1) × ℝ gauge group. The generalised structure associated with “BBBW” solutions yields two vector multiplets, one hypermultiplet and an abelian gauging. We argue that these are the most general consistent truncations on such backgrounds.

scholarly journals Wrapped NS5-branes, consistent truncations and Inönü-Wigner contractions

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
K. C. Matthew Cheung ◽  
Rahim Leung
Keyword(s):  
Gauge Group ◽  
Discrete Group ◽  
Vector Multiplet ◽  
Consistent Truncations ◽  
Group Of Symmetries ◽  
Lower Dimensional ◽  
Kaluza Klein

Abstract We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) Σ2 × S3 and (ii) Σ3 × S3, where Σ2 = S2/Γ, ℝ2/Γ, or ℍ2/Γ, and Σ3 = S3/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, $$ \mathcal{N} $$ 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) $$ {\ltimes}_{\Sigma_2} $$ ⋉ Σ 2 ℝ4) which depends on the curvature of Σ2, and a D = 4, $$ \mathcal{N} $$ N = 2 gauged supergravity coupled to one vector multiplet and two hypermultiplets with scalar manifold SU(1, 1)/U(1) × G2(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.

scholarly journals Rotating D0-branes and consistent truncations of supergravity

2013 ◽  
Vol 727 (4-5) ◽  
pp. 516-523 ◽  
Author(s):  
Andrés Anabalón ◽  
Thomas Ortiz ◽  
Henning Samtleben
Keyword(s):  
Consistent Truncations

Thermodynamically consistent truncations of distribution function hierarchies. I. General formulation

1984 ◽  
Vol 80 (5) ◽  
pp. 2092-2101 ◽  
Author(s):  
Gerald L. Jones ◽  
John J. Kozak ◽  
Eok K. Lee
Keyword(s):  
Distribution Function ◽  
Consistent Truncations

scholarly journals Supersymmetric AdS7 and AdS6 vacua and their consistent truncations with vector multiplets

2019 ◽  
Vol 2019 (4) ◽  
Author(s):  
Emanuel Malek ◽  
Henning Samtleben ◽  
Valentí Vall Camell
Keyword(s):  
Consistent Truncations
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