Three-dimensional N = 2 supergravity theories: From superspace to components

119

Abstract:We study 4d N = 1 supersymmetric theories on a compact Euclidean manifold of the form S 1 × M 3 . Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold M 3 . Taking the limit of shrinking S 1 , we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of [1]. The limit is given in terms of an effective potential for the holonomies around the S 1 , whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by Tr(R), while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if Tr(R) ≤ 0.

“…The R-KK and KK-KK supersymmetric Chern-Simons terms can be obtained from [81]. 12 12 There are minor differences between the conventions of [80] and ours, namely V There …”

Section: Jhep04(2017)055mentioning

confidence: 99%

Cardy formula for 4d SUSY theories and localization

Pietro

Honda

2017

119

“…The off-shell N = (1, 1) Poincaré supergravity and the supersymmetric completion of the cosmological term are already given in the literature, and they are also referred to as Type I minimal supergravity or three dimensional old minimal supergravity [8][9][10]12]. Here we shall derive them from the superconformal tensor calculus point of view, which will also serve to establish our notation and conventions.…”

Section: Jhep02(2015)125mentioning

confidence: 99%

“…The Poincaré supergravity and its cosmological extension has already been given in [12,13], and it is also referred to as Type II minimal supergravity. In this section, we first introduce our gauge fixing choices, and construct the Poincaré supergravity and the supersymmetric cosmological constant based on the conformal vector multiplet actions discussed in section 2.…”

Section: N = (2 0) Supergravity Modelsmentioning

confidence: 99%

“…The conformal N = 2 supergravity, and the two-derivative invariants were considered in [8][9][10][11]. Off-shell matter-coupled suprgravity theories were investigated in the superspace framework in [12][13][14][15]. The on-shell construction and the matter couplings of the three dimensional N = 2 supergravity were studied in [16][17][18].…”

Section: Jhep02(2015)125mentioning

confidence: 99%

“…Another multiplet with its lowest component having Weyl weight w and U(1) R weight w can be obtained by charge conjugation 12) where the supercovariant derivatives are…”

Section: Jhep02(2015)125mentioning

confidence: 99%

See 2 more Smart Citations

Massive N $$ \mathcal{N} $$ = 2 supergravity in three dimensions

Alkaç

Basanisi

Bergshoeff

et al. 2015

There exists two distinct off-shell N = 2 supergravities in three dimensions. They are also referred to as N = (1, 1) and N = (2, 0) supergravities, and they arise from the coupling of the Weyl multiplet to a compensating scalar or vector multiplet, respectively, followed by fixing of conformal symmetries. The N = (p, q) terminology refers to the underlying anti-de Sitter superalgebras OSp(2, p)⊕OSp(2, q) with R-symmetry group SO(p) × SO(q). We construct off-shell invariants of these theories up to fourth order in derivatives. As an application of these results, we determine the special combinations of the N = (1, 1) invariants that admit anti-de Sitter vacuum solution about which there is a ghost-free massive spin-2 multiplet of propagating modes. We also show that the N = (2, 0) invariants do not allow such possibility.

Warped Kähler potentials and fluxes

Martucci

2017

The four-dimensional effective theory for type IIB warped flux compactifications proposed in [1] is completed by taking into account the backreaction of the Kähler moduli on the three-form fluxes. The only required modification consists in a fluxdependent contribution to the chiral fields parametrising the Kähler moduli. The resulting supersymmetric effective theory satisfies the no-scale condition and consistently combines previous partial results present in the literature. Similar results hold for M-theory warped compactifications on Calabi-Yau fourfolds, whose effective field theory and Kähler potential are also discussed.