Citation

BibTex format

@article{Tseytlin:2026:10.1007/jhep11(2026)029,
author = {Tseytlin, AA and Wang, Z},
doi = {10.1007/jhep11(2026)029},
journal = {Journal of High Energy Physics},
title = {Energy of toroidal M2 brane in flat 11d background},
url = {http://dx.doi.org/10.1007/jhep11(2026)029},
volume = {2026},
year = {2026}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>                    A                    <jats:sc>bstract</jats:sc>                  </jats:title>                  <jats:p>                    The supermembrane action is non-linear and a priori non-renormalizable. Still, some quantities in this theory may be free of log UV divergences and thus defined unambiguously. To explore this possibility we compute, in static gauge, the energy of an M2 brane wrapped on a 2-torus in flat 11d space to two loops in the inverse-tension expansion. The result is free of logarithmic divergences and thus well defined in the standard                    <jats:italic>ζ</jats:italic>                    -function regularization. The same should hold also at higher loop orders. For fermions periodic around both circles the quantum corrections cancel, consistent with the BPS nature of the wrapped M2 brane state. For fermions antiperiodic around one or both circles the energy is a non-trivial function of the radii                    <jats:italic>R</jats:italic>                    <jats:sub>10</jats:sub>                    and                    <jats:italic>R</jats:italic>                    <jats:sub>11</jats:sub>                    , given by infinite sums of modified Bessel functions. We also compute the 3-loop correction to the energy of the bosonic membrane on                     <jats:sup>2</jats:sup>                    ×                    <jats:italic>S</jats:italic>                    <jats:sup>1</jats:sup>                    . In contrast to the string case, it contains, besides powers of the 1-loop                    <jats:italic>ζ</jats:italic>                    (3) coefficient, a new term proportional to                    <jats:italic>ζ</jats:italic>                    (9). Summing contributions of all-loop bubble graphs leads to a simple cubic
AU  - Tseytlin,AA
AU  - Wang,Z
DO  - 10.1007/jhep11(2026)029
PY  - 2026///
TI  - Energy of toroidal M2 brane in flat 11d background
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep11(2026)029
UR  - https://doi.org/10.1007/jhep11(2026)029
VL  - 2026
ER  -
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