Systematic exploration of the non-geometric flux landscape

Abstract

Given the huge size of the generic four-dimensional scalar potentials arising from the type II supergravities based on toroidal orientifolds, it is even hard to analytically solve the extremization conditions, and therefore the previous studies have been mainly focused on taking some numerical approaches. In this work, using the so-called {\it axionic flux polynomials} we demonstrate that the scalar potential and the extremization conditions can be simplified to a great extent, leading to the possibility of performing an analytic exploration of the flux landscape. In this regard, we consider the isotropic case of a type IIB model based on the standard ${\mathbb{T}}^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$ orientifold having the three-form fluxes $F_3/H_3$ and the non-geometric $Q$-flux. This model results in around 300 terms in the scalar potential which depend on 6 moduli/axionic fields and 14 flux parameters. Considering that the axionic flux polynomials can take either zero or non-zero values results in the need of analyzing $2^{14}=16384$ candidate configurations, and we find that more than 16200 of those result in No-Go scenarios for Minkowskian/de-Sitter vacua. Based on our systematic exploration of non-tachyonic flux vacua, we present a detailed classification of such No-Go scenarios as well as the leftover ``undecided" configurations for which we could not conclude about the presence/absence of the stable Minkowskian/de-Sitter vacua.

arXiv commentv3: 35 pages, 5 tables, Title changed, minor updates, references added, Published version

References in corpus (137)

• de Sitter Vacua in String Theory
• On the Geometry of the String Landscape and the Swampland
• Supergravity description of field theories on curved manifolds and a no go theorem
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• CFT's From Calabi-Yau Four-folds
• M Theory, Orientifolds and G-Flux
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• The Swampland: Introduction and Review
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• A Geometry for Non-Geometric String Backgrounds
• On the Cosmological Implications of the String Swampland
• Open Strings
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• Nongeometric Flux Compactifications
• What if string theory has no de Sitter vacua?
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• Super-Planckian Spatial Field Variations and Quantum Gravity
• The landscape, the swampland and the era of precision cosmology
• The Weak Gravity Conjecture and Scalar Fields
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• On the de Sitter swampland criterion
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Inflationary Constraints on Type IIA String Theory
• Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
• More Dual Fluxes and Moduli Fixing
• Gauged Double Field Theory
• de Sitter String Vacua from Kahler Uplifting
• Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
• Simple de Sitter Solutions
• Towards Classical de Sitter Solutions in String Theory
• Infinite Distance Networks in Field Space and Charge Orbits
• Duality orbits of non-geometric fluxes
• deSitter vacua from uplifting D-terms in effective supergravities from realistic strings
• Backreacted Axion Field Ranges in String Theory
• de Sitter vacua in no-scale supergravities and Calabi-Yau string models
• De Sitter vs Quintessence in String Theory
• The dS swampland conjecture and the Higgs potential
• Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter
• De Sitter from T-branes
• De Sitter hunting in a classical landscape
• The Swampland Conjecture and F-term Axion Monodromy Inflation
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces
• Flux moduli stabilisation, Supergravity algebras and no-go theorems
• On Classical de Sitter Vacua in String Theory
• De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects
• Building an explicit de Sitter
• A sufficient condition for de Sitter vacua in type IIB string theory
• On the distribution of stable de Sitter vacua
• Complete classification of Minkowski vacua in generalised flux models
• M-theory and Type IIA Flux Compactifications
• Minimal Simple de Sitter Solutions
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Remarks on scale separation in flux vacua
• Universal de Sitter solutions at tree-level
• The Swampland Distance Conjecture and Towers of Tensionless Branes
• Stability Constraints on Classical de Sitter Vacua
• U-Manifolds
• Non-geometric backgrounds in string theory
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• A note on obstinate tachyons in classical dS solutions
• Do We Live in the Swampland?
• New constraints on classical de Sitter: flirting with the swampland
• de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
• Runaway Quintessence, Out of the Swampland
• A Geometrical Upper Bound on the Inflaton Range
• Swampland Conjectures and Late-Time Cosmology
• Quintessence Saves Higgs Instability
• Flat Monodromies and a Moduli Space Size Conjecture
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Toroidal Orientifolds in IIA with General NS-NS Fluxes
• Perturbative moduli stabilisation in type IIB/F-theory framework
• U-dual fluxes and Generalized Geometry
• The de Sitter swampland conjecture and supersymmetric AdS vacua
• Slow-Roll Inflation in Non-geometric Flux Compactification
• Towards Axionic Starobinsky-like Inflation in String Theory
• A Systematic Approach to Kähler Moduli Stabilisation
• de Sitter extrema and the swampland
• More stable dS vacua from S-dual non-geometric fluxes
• The quantum swampland
• Quantum Corrections and the de Sitter Swampland Conjecture
• Refining the boundaries of the classical de Sitter landscape
• D-Terms from Generalized NS-NS Fluxes in Type II
• F-theory flux vacua at large complex structure
• Open problems on classical de Sitter solutions
• Global Orientifolded Quivers with Inflation
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
• Tachyons in Classical de Sitter Vacua
• Algebras and non-geometric flux vacua
• A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory
• The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation
• The Standard Model Quiver in de Sitter String Compactifications
• Searching for Inflation in Simple String Theory Models: An Astrophysical Perspective
• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• Compactifications with S-Duality Twists
• Chaotic inflation on the brane and the Swampland Criteria
• Scaling limits of dS vacua and the swampland
• Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization
• Mass Hierarchies and Dynamical Field Range
• Non-geometric flux vacua, S-duality and algebraic geometry
• $P$ fluxes and exotic branes
• The swampland conjecture and the Higgs expectation value
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• On classical de Sitter and Minkowski solutions with intersecting branes
• Systematics of type IIB moduli stabilisation with odd axions
• Systematics of Type IIA moduli stabilisation
• Two-field axion inflation and the swampland constraint in the flux-scaling scenario
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Large Field Ranges from Aligned and Misaligned Winding
• Inflation near a metastable de Sitter vacuum from moduli stabilisation
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Dictionary for the type II nongeometric flux compactifications
• Inflation from the internal volume in type IIB/F-theory compactification
• Racetrack Potentials and the de Sitter Swampland Conjectures
• Rigid nongeometric orientifolds and the swampland
• Implementing odd-axions in dimensional oxidation of non-geometric type IIB action
• Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications
• $T$-dualizing the de-Sitter no-go scenarios
• Non-geometric fluxes & tadpole conditions for exotic branes
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Compact G2 holonomy spaces from SU(3) structures
• On modular completion of generalized flux orbits
• Symplectic formulation of the type IIA nongeometric scalar potential
• On stable type IIA de-Sitter vacua with geometric flux
• Vacua Analysis in Extended Supersymmetry Compactifications
• On Missing Bianchi Identities in Cohomology Formulation
• Taxonomy of scalar potential with U-dual fluxes
• On the limitations of non-geometric fluxes to realize dS vacua
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Reading-off the non-geometric scalar potentials with U-dual fluxes