PreprintCC BY 4.0arXiv
Quotient Quiver Subtraction -- Product Groups
Abstract
Quotient quiver subtraction translates the gauging of Coulomb branch global symmetries into a combinatoric operation on 3d 𝒩=4 gauge theories. This work uses brane systems to introduce a systematic method to gauge U(n)×U(n') and SU(n)×SU(n') emergent Coulomb branch global symmetries. Similar to other recently-introduced techniques, the gauging operation is a two-step process; in this case, it involves the symplectisation of unitary gauge factors into symplectic groups. A host of explicit examples are used to verify the procedure, and connections are made to Class 𝒮 theories and three-dimensional theories realising maximal implosion spaces.
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BibTeX
@misc{bennett2026quotient,
title = {{Quotient Quiver Subtraction -- Product Groups}},
author = {Sam Bennett and Amihay Hanany and Guhesh Kumaran},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38052},
eprint = {2610.38052},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38052},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quotient Quiver Subtraction -- Product Groups
AU - Sam Bennett
AU - Amihay Hanany
AU - Guhesh Kumaran
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.38052
UR - https://arxiv.org/abs/2610.38052
AB - Quotient quiver subtraction translates the gauging of Coulomb branch global symmetries into a combinatoric operation on 3d 𝒩=4 gauge theories. This work uses brane systems to introduce a systematic method to gauge U(n)×U(n') and SU(n)×SU(n') emergent Coulomb branch global symmetries. Similar to other recently-introduced techniques, the gauging operation is a two-step process; in this case, it involves the symplectisation of unitary gauge factors into symplectic groups. A host of explicit examples are used to verify the procedure, and connections are made to Class 𝒮 theories and three-dimensional theories realising maximal implosion spaces.
ER -