# Symmetry TFTs from String Theory

@inproceedings{Apruzzi2021SymmetryTF, title={Symmetry TFTs from String Theory}, author={Fabio Apruzzi and Federico Bonetti and I{\~n}aki Garc{\'i}a Etxebarria and Saghar Hosseini and Sakura Schafer-Nameki}, year={2021} }

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory, which we call the Symmetry TFT, or SymTFT for short, is derived by reducing the topological sector of 11d supergravity on the boundary $\partial X$ of the space $X$. Central to this endeavour is a reformulation of supergravity in terms of differential…

## 16 Citations

### The Branes Behind Generalized Symmetry Operators

- MathematicsFortschritte der Physik
- 2022

The modern approach to m‐form global symmetries in a d‐dimensional quantum field theory (QFT) entails specifying dimension d−m−1$d-m-1$ topological generalized symmetry operators which non‐trivially…

### Top Down Approach to Topological Duality Defects

- Mathematics
- 2022

Topological duality defects arise as codimension one generalized symmetry operators in quantum field theories (QFTs) with a duality symmetry. Recent investigations have shown that in the case of 4D N…

### Higher symmetries of 5D orbifold SCFTs

- MathematicsPhysical Review D
- 2022

We determine the higher symmetries of 5d SCFTs engineered from M-theory on a C 3 / Γ background for Γ a ﬁnite subgroup of SU (3). This resolves a longstanding question as to how to extract this data…

### Super-Spin Chains for 6D SCFTs

- Mathematics, Physics
- 2022

Nearly all 6D superconformal field theories (SCFTs) have a partial tensor branch description in terms of a generalized quiver gauge theory consisting of a long one-dimensional spine of quiver nodes…

### Non-invertible Symmetries of Class $\mathcal{S}$ Theories

- Mathematics
- 2022

We study the non-invertible symmetries of class S theories obtained by compactifying the type ap−1 6d (2,0) theory on a genus g Riemann surface with no punctures. After setting up the general…

### The holography of non-invertible self-duality symmetries

- Mathematics
- 2022

We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of su(N) N = 4 SYM. The theory is known to have non-invertible duality…

### A fresh view on string orbifolds

- MathematicsJournal of High Energy Physics
- 2023

In quantum field theory, an orbifold is a way to obtain a new theory from an old one by gauging a finite global symmetry. This definition of orbifold does not make sense for quantum gravity theories,…

### "Zoology'' of non-invertible duality defects: the view from class $\mathcal{S}$

- Mathematics
- 2022

We study generalizations of the non-invertible duality defects present in N = 4 SU(N) SYM by considering theories with larger duality groups. We focus on 4d N = 2 theories of class S obtained by the…

### Symmetry TFTs and Anomalies of Non-Invertible Symmetries

- Mathematics
- 2023

It is known that the 't Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be understood for…

### Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices

- MathematicsJournal of High Energy Physics
- 2023

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We…

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