# Planckian axions in string theory

@article{Bachlechner2014PlanckianAI, title={Planckian axions in string theory}, author={Thomas C. Bachlechner and Cody Long and Liam McAllister}, journal={Journal of High Energy Physics}, year={2014}, volume={2015}, pages={1-36} }

A bstractWe argue that super-Planckian diameters of axion fundamental domains can arise in Calabi-Yau compactifications of string theory. In a theory with N axions θi, the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form − π < Qijθj < π. We compute the diameter of the fundamental domain in terms of the eigenvalues f12 ≤ … ≤ fN2 of the metric on field space, and also, crucially, the largest eigenvalue of (QQ⊤)−1. At large N, QQ⊤ approaches…

## 75 Citations

### Planckian axions and the Weak Gravity Conjecture

- Physics
- 2015

A bstractSeveral recent works [1-3] have claimed that the Weak Gravity Conjecture (WGC) excludes super-Planckian displacements of axion fields, and hence large-field axion inflation, in the absence…

### Systematics of axion inflation in Calabi-Yau hypersurfaces

- MathematicsJournal of High Energy Physics
- 2017

We initiate a comprehensive survey of axion inflation in compactifications of type IIB string theory on Calabi-Yau hypersurfaces in toric varieties. For every threefold with h1,1 ≤ 4 in the…

### Superradiance in string theory

- Mathematics, PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

We perform an extensive analysis of the statistics of axion masses and interactions in compactifications of type IIB string theory, and we show that black hole superradiance excludes some regions of…

### Large field inflation from axion mixing

- Physics
- 2015

A bstractWe study the general multi-axion systems, focusing on the possibility of large field inflation driven by axions. We find that through axion mixing from a non-diagonal metric on the moduli…

### Fencing in the swampland: quantum gravity constraints on large field inflation

- Physics
- 2015

A bstractIn this note we show that models of natural inflation based on closed string axions are incompatible with the weak gravity conjecture (WGC). Specifically, we use T- duality in order to map…

### Mirror quintic vacua: hierarchies and inflation

- Mathematics
- 2016

A bstractWe study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in ℙ4$$ {\mathrm{\mathbb{P}}}^4 $$. We focus on the dynamics of the four…

### Phases of inflation

- PhysicsJournal of High Energy Physics
- 2018

A bstractMotivated by the 4d effective field theories for closed string axions in Type II string compactifications with D-branes, we consider chiral gauge theories coupled to multiple axions. We…

### Systematics of aligned axions

- Computer Science
- 2017

A novel technique is described that renders theories of N axions tractable, and can be used to efficiently analyze a large class of periodic potentials of arbitrary dimension, and is found that in a broad class of random theories, the potential is smooth over diameters enhanced by N3/2 compared to the typical scale of the potential.

### Hierarchies in Quantum Gravity: Large Numbers, Small Numbers, and Axions

- Physics
- 2017

We examine the relaxion mechanism in string theory. An essential feature is that an axion winds over N 1 fundamental periods. In string theory realizations via axion monodromy, this winding number…

### Large-field inflation with multiple axions and the weak gravity conjecture

- Physics
- 2015

A bstractIn this note, we discuss the implications of the weak gravity conjecture (WGC) for general models of large-field inflation with a large number of axions N. We first show that, from the…

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A bstractSeveral recent works [1-3] have claimed that the Weak Gravity Conjecture (WGC) excludes super-Planckian displacements of axion fields, and hence large-field axion inflation, in the absence…

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