A symplectic rearrangement of the four dimensional non-geometric scalar potential

Abstract

We present a symplectic rearrangement of the effective four-dimensional non-geometric scalar potential resulting from type IIB superstring compactification on Calabi Yau orientifolds. The strategy has two main steps. In the first step, we rewrite the four dimensional scalar potential utilizing some interesting flux combinations which we call new generalized flux orbits. After invoking a couple of non-trivial symplectic relations, in the second step, we further rearrange all the pieces of scalar potential into a completely `symplectic-formulation' which involves only the symplectic ingredients (such as period matrix etc.) without the need of knowing Calabi Yau metric. Moreover, the scalar potential under consideration is induced by a generic tree level Kähler potential and (non-geometric) flux superpotential for arbitrary numbers of complex structure moduli, Kähler moduli and odd-axions. Finally, we exemplify our symplectic formulation for the two well known toroidal examples based on type IIB superstring compactification on ${\mathbb{T}}^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$-orientifold and ${\mathbb{T}}^6/{\mathbb{Z}}_4$-orientifold.

version 3: 43 pages, some improvements, to appear in JHEP

References in corpus (19)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• GUTs in Type IIB Orientifold Compactifications
• Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Moduli Stabilization in Type IIB Orientifolds (II)
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
• Type-IIA flux compactifications and N=4 gauged supergravities
• Toroidal Orientifolds in IIA with General NS-NS Fluxes
• Towards Axionic Starobinsky-like Inflation in String Theory
• D-Terms from Generalized NS-NS Fluxes in Type II
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• Algebras and non-geometric flux vacua
• Non-geometric flux vacua, S-duality and algebraic geometry
• Dimensional oxidation and modular completion of non-geometric type IIB action
• On modular completion of generalized flux orbits

Cited by in corpus (15)

• Systematics of type IIB moduli stabilisation with odd axions
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Dictionary for the type II nongeometric flux compactifications
• Rigid nongeometric orientifolds and the swampland
• $T$-dualizing the de-Sitter no-go scenarios
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• Symplectic formulation of the type IIA nongeometric scalar potential
• On stable type IIA de-Sitter vacua with geometric flux
• Seeking de-Sitter Vacua in the String Landscape
• On the limitations of non-geometric fluxes to realize dS vacua
• Taxonomy of scalar potential with U-dual fluxes
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Duality rules for more mixed-symmetry potentials
• Systematic exploration of the non-geometric flux landscape