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

  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},
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… 

Four-dimensional black hole entropy from F-theory

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

The Green-Schwarz mechanism and geometric anomaly relations in 2d (0,2) F-theory vacua

A bstractWe study the structure of gauge and gravitational anomalies in 2d N = (0, 2) theories obtained by compactification of F-theory on elliptically fibered Calabi-Yau 5-folds. Abelian gauge

6d $$ \mathcal{N} $$ = (1, 0) anomalies on S1 and F-theory implications

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.

Anomalies of (0,4) SCFTs from F-theory

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

TASI Lectures on Abelian and Discrete Symmetries in F-theory

  • M. CvetičLing Lin
  • Mathematics
    Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)
  • 2018
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

One-modulus Calabi-Yau fourfold reductions with higher-derivative terms

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

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

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

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

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



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

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

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

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

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

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

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

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

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

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