Monopoles, duality, and large charge in Chern-Simons QED3
Abstract
We compute the scaling dimensions of charge q monopole operators in QED3 with N two-component complex fermions and Chern-Simons level k, to subleading order in the limit where k,N are large and k/N is fixed. We use this and previous results for scalar QED3 (sQED3) to check the duality between QED3 with N=1,k=−3/2 and sQED3 with N=1,k=2, whose U(1) monopole symmetry is enhanced to SO(3). We find that the lowest charge monopole value for QED3 is close to 2 as expected for the emergent SO(3) current, the second lowest charge monopole matches a prediction from a fuzzy sphere calculation, while higher q monopoles match the corresponding sQED3 values with relative error of just one percent. We also find similar evidence for dualities between QED3 with N=1,k=−(2m+1)/2 and one scalar coupled to two U(1) gauge fields, which has an effective description as sQED3 with N=1,k=(m+1)/m and qs=mqf for m>1. Finally, by fitting many values of q we show that the q0 term at large q for QED3 takes the same nonzero value that appears in the universal EFT for parity preserving U(1) theories, even though parity is broken for k≠0. For sQED3, a similar fit gives zero q0 term for k≠0, unlike the universal nonzero value previously observed for k=0.
Related
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- Comment on ''Chiral electromagnetic surface waves on Chern-Simons interfaces'' Phys.Rev.D114(2026)L051903 and on arXiv:2606.12513 by N. Kaloper
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BibTeX
@misc{chester2026monopoles,
title = {{Monopoles, duality, and large charge in Chern-Simons QED$_3$}},
author = {Shai M. Chester and Éric Dupuis},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37795},
eprint = {2609.37795},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37795},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Monopoles, duality, and large charge in Chern-Simons QED_3
AU - Shai M. Chester
AU - Éric Dupuis
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37795
UR - https://arxiv.org/abs/2609.37795
AB - We compute the scaling dimensions of charge q monopole operators in QED_3 with N two-component complex fermions and Chern-Simons level k, to subleading order in the limit where k,N are large and k/N is fixed. We use this and previous results for scalar QED_3 (sQED_3) to check the duality between QED_3 with N=1,k=−3/2 and sQED_3 with N=1,k=2, whose U(1) monopole symmetry is enhanced to SO(3). We find that the lowest charge monopole value for QED_3 is close to 2 as expected for the emergent SO(3) current, the second lowest charge monopole matches a prediction from a fuzzy sphere calculation, while higher q monopoles match the corresponding sQED_3 values with relative error of just one percent. We also find similar evidence for dualities between QED_3 with N=1,k=−(2m+1)/2 and one scalar coupled to two U(1) gauge fields, which has an effective description as sQED_3 with N=1,k=(m+1)/m and q_s=mq_f for m>1. Finally, by fitting many values of q we show that the q^0 term at large q for QED_3 takes the same nonzero value that appears in the universal EFT for parity preserving U(1) theories, even though parity is broken for k≠0. For sQED_3, a similar fit gives zero q^0 term for k≠0, unlike the universal nonzero value previously observed for k=0.
ER -