## Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries

## Abstract

We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the *N _{f}* = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Lastly, we make brief comments on the non-relativistic limit of the dualities.

- Authors:

- Stanford Univ., Stanford, CA (United States)
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1532404

- Grant/Contract Number:
- AC02-76SF00515

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 6; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Duality in Gauge Field Theories; Lattice Quantum Field Theory; Nonperturbative Effects

### Citation Formats

```
Son, Jun Ho, Chen, Jing -Yuan, and Raghu, S. Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries. United States: N. p., 2019.
Web. doi:10.1007/jhep06(2019)038.
```

```
Son, Jun Ho, Chen, Jing -Yuan, & Raghu, S. Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries. United States. doi:10.1007/jhep06(2019)038.
```

```
Son, Jun Ho, Chen, Jing -Yuan, and Raghu, S. Tue .
"Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries". United States. doi:10.1007/jhep06(2019)038. https://www.osti.gov/servlets/purl/1532404.
```

```
@article{osti_1532404,
```

title = {Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries},

author = {Son, Jun Ho and Chen, Jing -Yuan and Raghu, S.},

abstractNote = {We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the Nf = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Lastly, we make brief comments on the non-relativistic limit of the dualities.},

doi = {10.1007/jhep06(2019)038},

journal = {Journal of High Energy Physics (Online)},

number = 6,

volume = 2019,

place = {United States},

year = {2019},

month = {6}

}

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