# Chiral anomalies on a circle and their cancellation in F-theory

@article{Corvilain2017ChiralAO, title={Chiral anomalies on a circle and their cancellation in F-theory}, author={Pierre Corvilain and Thomas W. Grimm and Diego Regalado}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-33} }

A bstractWe study in detail how four-dimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the Kaluza-Klein modes in a way that preserves the four-dimensional symmetries in the UV, we show that the three-dimensional theory contains field-dependent Chern-Simons terms that appear at one-loop. These vanish if and only if the four-dimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to…

## 14 Citations

### Four-dimensional black hole entropy from F-theory

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe study the central charges and levels of a two-dimensional N = (0, 4) superconformal field theory describing four-dimensional BPS black holes in F-theory. These arise from D3-branes…

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- Mathematics
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- Mathematics
- 2020

We show that the pure gauge anomalies of 6d $\mathcal N=(1,0)$ theories compactified on a circle are captured by field-dependent Chern-Simons terms appearing at one-loop in the 5d effective theories.…

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- Mathematics
- 2020

We study the macroscopics of 2d
$$ \mathcal{N} $$
= (0, 4) SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping…

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- MathematicsProceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)
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In F-theory compactifications, the abelian gauge sector is encoded in global structures of the internal geometry. These structures lie at the intersection of algebraic and arithmetic description of…

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- Mathematics
- 2017

A bstractIn this note we consider M-theory compactified on a warped Calabi-Yau four-fold including the eight-derivative terms in the eleven-dimensional action known in the literature. We…

### On symmetries and dynamics of exotic supermultiplets

- Physics
- 2020

Among the allowed representations of extended supersymmetry in six dimensions there are exotic chiral multiplets that, instead of a graviton, contain mixed-symmetry spin-2 tensor fields. Notably, an…

### Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales

- PhysicsJournal of High Energy Physics
- 2021

We explicitly calculate the topological terms that arise in IR effective field theories for SU( N ) gauge theories on ℝ 3 × 𝕊 1 by integrating out all but the lightest modes. We then show how these…

### Reflections on the matter of 3D N=1 vacua and local Spin(7) compactifications

- Mathematics, PhysicsPhysical Review D
- 2022

We use Higgs bundles to study the 3d N = 1 vacua obtained from M-theory compactified on a local Spin(7) space given as a four-manifoldM4 of ADE singularities with further generic enhancements in the…

### Black holes and (0,4) SCFTs from type IIB on K3

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We study the central charges and levels of 2d
$$ \mathcal{N} $$
N
= (0, 4) superconformal field theories that are dual to four- and five-dimensional BPS black holes in…

## References

SHOWING 1-10 OF 56 REFERENCES

### Anomaly cancelation in field theory and F-theory on a circle

- Mathematics
- 2015

A bstractWe study the manifestation of local gauge anomalies of four- and six-dimensional field theories in the lower-dimensional Kaluza-Klein theory obtained after circle compactification. We…

### Anomaly cancellation and abelian gauge symmetries in F-theory

- Mathematics
- 2013

A bstractWe study 4D F-theory compactifications on singular Calabi-Yau fourfolds with fluxes. The resulting $\mathcal{N}=1$ effective theories can admit non-Abelian and U(1) gauge groups as well as…

### Anomaly equations and intersection theory

- Mathematics
- 2011

A bstractSix-dimensional supergravity theories with $ \mathcal{N} $ = (1, 0) supersymmetry must satisfy anomaly equations. These equations come from demanding the cancellation of gravitational, gauge…

### One-loop Chern-Simons terms in five dimensions

- Physics, Geology
- 2013

A bstractWe compute one-loop corrections to five-dimensional gauge and gravitational Chern-Simons terms induced by integrating out charged massive fields. The considered massive fields are spin-1/2…

### Massive Abelian gauge symmetries and fluxes in F-theory

- Mathematics
- 2011

A bstractF-theory compactified on a Calabi-Yau fourfold naturally describes non- Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries…

### F-theory fluxes, chirality and Chern-Simons theories

- Physics
- 2012

A bstractWe study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral…

### The fate of U(1)’s at strong coupling in F-theory

- Mathematics
- 2014

A bstractU(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong…

### On flux quantization in F-theory

- Mathematics
- 2010

A bstractWe study the problem of four-form flux quantization in F-theory compactifications. We prove that for smooth, elliptically fibered Calabi-Yau fourfolds with a Weierstrass representation, the…

### Algebraic cycles and local anomalies in F-theory

- Mathematics
- 2017

A bstractWe introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory…