Toward an Effective Theory of the Volume Modulus

Abstract

We investigate the 4-dimensional effective theory of the warped volume modulus in the presence of stabilizing effects from gaugino condensation by analyzing the linearized 10-dimensional supergravity equations of motion. Warping is generally expected to scale down the masses of bulk modes to the IR scale at the tip of a throat. We find that the mass of the warped volume modulus evades expectations and is largely insensitive to the effects of warping, even in strongly warped backgrounds. Instead, the mass is parametrically tied to the 4-dimensional AdS curvature scale $m^2\sim \mathcal{O}(1)|{\hat{R}}_{\mathrm{AdS}}|$, presenting a challenge for scale separation in these backgrounds. We trace this effect to a universal contribution arising from the 10-dimensional equations of motion, and comment on the importance of a 10-dimensional treatment of the warped volume modulus for effective field theories and model building.

27 pages + Appendices; v2. minor clarifications and edits, content matches published version

References in corpus (54)

• A Large Mass Hierarchy from a Small Extra Dimension
• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Towards Inflation in String Theory
• Radion Dynamics and Electroweak Physics
• AdS and the Swampland
• Scales and hierarchies in warped compactifications and brane worlds
• N=3 Warped Compactifications
• Dynamics of warped compactifications and the shape of the warped landscape
• Inflationary Constraints on Type IIA String Theory
• Warped Compactifications in M and F Theory
• Simple de Sitter Solutions
• Towards Classical de Sitter Solutions in String Theory
• D3-brane Potentials from Fluxes in AdS/CFT
• From ten to four and back again: how to generalize the geometry
• Towards de Sitter from 10D
• Reheating the Universe after String Theory Inflation
• Dynamics of Warped Flux Compactifications
• The tension between 10D supergravity and dS uplifts
• The fate of four dimensions
• On Classical de Sitter Vacua in String Theory
• Uplifting Runaways
• Holographic Systematics of D-brane Inflation
• Minimal Simple de Sitter Solutions
• Remarks on scale separation in flux vacua
• Warped Supersymmetry Breaking
• Kinetic terms in warped compactifications
• Swampland Variations on a Theme by KKLT
• Gaugino condensation and small uplifts in KKLT
• The Universal Kaehler Modulus in Warped Compactifications
• dS Vacua and the Swampland
• Brane gaugino condensate in 10d
• A 10d view on the KKLT AdS vacuum and uplifting
• Radion on the de Sitter brane
• Understanding KKLT from a 10d perspective
• Holography and the KKLT Scenario
• Warped Spectroscopy: Localization of Frozen Bulk Modes
• On classical de Sitter solutions in higher dimensions
• Effective potential and warp factor dynamics
• The Shape of Gravity in a Warped Deformed Conifold
• Kähler moduli stabilization from ten dimensions
• The Boundaries of KKLT
• Gaugino Condensation and Geometry of the Perfect Square
• Effective Theory of Warped Compactifications and the Implications for KKLT
• Can Inflating Braneworlds be Stabilized?
• Gravitational Instability of de Sitter Compactifications
• A Breathing Mode for Warped Compactifications
• Gaugino mass term for D-branes and Generalized Complex Geometry
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• Dimensional Reduction for D3-brane Moduli
• Completing the D7-brane local gaugino action
• Smearing and Unsmearing KKLT AdS Vacua
• New branch of Kaluza-Klein compactification