The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds

Bastiaan Spanjaard; Danny Mart\'inez-Pedrera; Hagen Triendl; Jan Louis; Thomas Danckaert

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The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds

Thomas Danckaert, Jan Louis, Danny Martínez-Pedrera, Bastiaan Spanjaard, Hagen Triendl

High Energy Physics - Theory · Submitted 27 Apr 2011

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The authors' main claim The consistency with gauged N=4 supergravity is established and the gauge group is determined.

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arXiv ID1104.5174 (version 2)

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CitationBastiaan Spanjaard, Danny Mart\'inez-Pedrera, Hagen Triendl, Jan Louis, Thomas Danckaert. "The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds." arXiv:1104.5174 (2011). https://pith.science/paper/JIHRL6OU

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We study compactifications of type IIA supergravity on six-dimensional manifolds with SU(2) structure and compute the low-energy effective action in terms of the non-trivial intrinsic torsion. The consistency with gauged N=4 supergravity is established and the gauge group is determined. Depending on the structure of the intrinsic torsion, antisymmetric tensor fields can become massive.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study compactifications of type IIA supergravity on six-dimensional manifolds with SU(2) structure and compute the low-energy effective action in terms of the non-trivial intrinsic torsion.	contribution 1.00	0.96	0.17	asserted 1.00
s1	The consistency with gauged N=4 supergravity is established and the gauge group is determined.	result 0.86	0.89	0.27	asserted 0.99
s2	Depending on the structure of the intrinsic torsion, antisymmetric tensor fields can become massive.	result 0.97	0.76	0.20	hedged possibility 0.85

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Original abstract

We study compactifications of type IIA supergravity on six-dimensional manifolds with SU(2) structure and compute the low-energy effective action in terms of the non-trivial intrinsic torsion. The consistency with gauged N=4 supergravity is established and the gauge group is determined. Depending on the structure of the intrinsic torsion, antisymmetric tensor fields can become massive.

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11 arXiv papers cite this in 33 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

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An appropriate ansatz for the dimensional reduction on manifolds with structure group $SU(2)$ has been worked out in [ref] .

Geometric Symmetries and Topological Terms in F-theory and Field Theory · The Reduction Ansatz · 0.87
In this section, we will follow the strategy of [ref] of eliminating the three-form $C$ via its equation of motion and of dualizing all three tensor fields $B$ and $C_i$ to dual scalars $β$ and $γ_i$.

Enhanced supersymmetry from vanishing Euler number · Field dualizations · 1.00
An appropriate ansatz for the dimensional reduction on manifolds with structure group $SU(2)$ has been worked out in [ref] .

Partial Supergravity Breaking and the Effective Action of Consistent Truncations · The reduction ansatz · 0.86

Cites it as background 7 papers

$SU(2)$ structures and reductions on $SU(2)$ structure manifolds have been discussed in [ref] .

Enhanced supersymmetry from vanishing Euler number · Introduction · 1.00
Reduction on such an $SU(2)$ structure leads to $N=4$ gauged supergravities [ref] , which can be conveniently described by the embedding tensor formalism [ref] .

Consistent truncations of M-theory for general SU(2) structures · Introduction · 0.83
Prior work on $(2)$ structure compactifications include a chain of interesting investigations [ref] , which were primarily concerned with the low energy effective field theory as opposed to explicit examples of manifolds of $(2)$ structure.

A class of Calabi-Yau threefolds as manifolds of SU(2) structure · Introduction · 0.96

What it cites · 37 sentences without a confident label

Uses the method or tool of 2 papers

To do this, we will bring the action into the canonical form proposed in Ref. [ref] by performing a series of field redefinitions.

Gauged N=4 supergravities · The R-R sector · 0.83
The Lagrangian obtained from the compactification still contains the two-forms $B$ and $C_i$, which we can exchange for vector and scalar fields by performing the appropriate dualizations [ref] .

Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes · Dualization of two-forms · 0.98

Compares with 1 paper

We therefore rewrite the action obtained from a Kaluza-Klein (KK) reduction in a form which is consistent with the results of [ref] .

Gauged N=4 supergravities · Introduction · 0.86

Cites as support 1 paper

One can show that demanding integrability of the almost product structure [ref] forces $^i_I$ to vanish [ref] .

Heterotic compactifications on SU(2)-structure backgrounds · Kaluza-Klein data · 0.96

Cites as background 26 papers

Finally in Refs. [ref] , preliminary studies of the $𝒩=4$ effective action for type IIA compactification on manifolds with $2$ structure were conducted.[The effective action for IIA compactified on $K3×T^2$ has been given in [ref] . $𝒩=4$ flux compactifications have been discussed for example in [ref] .]

N=4 Gauged Supergravity from Duality-Twist Compactifications of String Theory · Introduction · 0.88
Finally in Refs. [ref] , preliminary studies of the $𝒩=4$ effective action for type IIA compactification on manifolds with $2$ structure were conducted.[The effective action for IIA compactified on $K3×T^2$ has been given in [ref] . $𝒩=4$ flux compactifications have been discussed for example in [ref] .]

Four Dimensional String/String/String Triality · Introduction · 0.88
Finally in Refs. [ref] , preliminary studies of the $𝒩=4$ effective action for type IIA compactification on manifolds with $2$ structure were conducted.[The effective action for IIA compactified on $K3×T^2$ has been given in [ref] . $𝒩=4$ flux compactifications have been discussed for example in [ref] .]

Flux Compactifications, Gauge Algebras and De Sitter · Introduction · 0.88

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