Dimensional reductions of DFT and mirror symmetry for Calabi–Yau three-folds and K3 × T2

Betzler, Philip; Plauschinn, Erik

doi:10.1016/j.nuclphysb.2018.06.012

Cited by 1 publication

(2 citation statements)

References 64 publications

(165 reference statements)

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“…In particular, the Kähler potential takes the following form

K = - \log [- i false(τ - \bar{τ} false)] - 2 \log \hat{scriptV} - \log [- i \int_{X} normalΩ \land \bar{Ω}],

where

\overset{V}{true}

denotes the volume of the Calabi‐Yau manifold in Einstein frame. The superpotential is generated by the fluxes and can be expressed using the Mukai pairing

⟨ \cdot, \cdot ⟩

of the multiforms and the generalized derivative in the following way

\begin{matrix} true \\ right W = & left \int_{X} true〈 Φ^{-}, F - scriptD Φ_{c}^{+} true〉 \\ right = & left \int_{X} normalΩ \land ([] F - τ H - (Q • σ^{A}) T_{sans-serifA}) . \end{matrix}

In general, the fluxes also generate a D‐term potential which can be expressed using the three‐form part of

D (Im {normalΦ}^{+})

(see also []). However, due to the latter belongs to the σ‐even third cohomology and vanishes when taking into account our requirements .…”

Section: Flux Compactificationsmentioning

confidence: 99%

See 1 more Smart Citation

Type IIB Flux Vacua and Tadpole Cancellation

Betzler

Plauschinn²

2019

Fortschritte der Physik

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We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole‐cancellation condition. As a concrete example we focus on double-struckT6/double-struckZ2×double-struckZ2, for which we find that solutions to the F‐term equations at weak coupling, large complex structure and large volume require large flux contributions. Such contributions are however strongly disfavored by the tadpole‐cancellation condition. We furthermore find that solutions which stabilize moduli in this perturbatively‐controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds.

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“…In particular, the Kähler potential takes the following form

K = - \log [- i false(τ - \bar{τ} false)] - 2 \log \hat{scriptV} - \log [- i \int_{X} normalΩ \land \bar{Ω}],

where

\overset{V}{true}

denotes the volume of the Calabi‐Yau manifold in Einstein frame. The superpotential is generated by the fluxes and can be expressed using the Mukai pairing

⟨ \cdot, \cdot ⟩

of the multiforms and the generalized derivative in the following way

\begin{matrix} true \\ right W = & left \int_{X} true〈 Φ^{-}, F - scriptD Φ_{c}^{+} true〉 \\ right = & left \int_{X} normalΩ \land ([] F - τ H - (Q • σ^{A}) T_{sans-serifA}) . \end{matrix}

In general, the fluxes also generate a D‐term potential which can be expressed using the three‐form part of

D (Im {normalΦ}^{+})

(see also []). However, due to the latter belongs to the σ‐even third cohomology and vanishes when taking into account our requirements .…”

Section: Flux Compactificationsmentioning

confidence: 99%

“…In general, the fluxes (2.9) also generate a D-term potential which can be expressed using the three-form part of D(ImΦ + ) [37] (see also [40]). However, due to (2.11) the latter belongs to the σ-even third cohomology and vanishes when taking into account our requirements (2.3).…”

Section: Fluxesmentioning

confidence: 99%