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1 Correction to: Ann. Henri Poincaré https://doi.org/10.1007/s00023-020-00988-0
Equation (5.20),
$$\begin{aligned} S_{BV}= & {} \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \varvec{{A}}_i \, \varvec{\mathrm {d}}{x}^i + \tfrac{1}{2} \pi ^{ij}({x})\, \varvec{{A}}_i \varvec{{A}}_{j} \right] + \int _{T[1]N} \!\!\!\! d^3 \sigma d^3 \theta \, H({x}) \\&+ \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \tfrac{1}{4} (\pi ^{il} \pi ^{jm} H_{lmk})({x}) \, \varvec{{A}}_i \varvec{{A}}_j \varvec{\varepsilon } {x}^k - \tfrac{1}{2} (\pi ^{il} H_{jkl}) ({x})\, \varvec{{A}}_i (\varvec{\mathrm {d}}{x}^j) \varvec{\varepsilon } {x}^k \right] \\&+ \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \tfrac{1}{8} (\pi ^{im} \pi ^{jn} \pi ^{pq} H_{mql}H_{npk})({x})\, \varvec{{A}}_i \varvec{{A}}_j (\varvec{\varepsilon } {x}^k) \varvec{\varepsilon } {x}^l \right] , \end{aligned}$$
should read as follows:
$$\begin{aligned} S_{BV}= & {} \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \varvec{{A}}_i \, \varvec{\mathrm {d}}{x}^i + \tfrac{1}{2} \pi ^{ij}({x})\, \varvec{{A}}_i \varvec{{A}}_{j} \right] + \int _{T[1]N} \!\!\!\! d^3 \sigma d^3 \theta \, H({x}) \\&+ \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \tfrac{1}{4} (\pi ^{il} \pi ^{jm} H_{lmk})({x}) \, \varvec{{A}}_i \varvec{{A}}_j \varvec{\varepsilon } {x}^k + \tfrac{1}{2} (\pi ^{il} H_{jkl}) ({x})\, \varvec{{A}}_i (\varvec{\mathrm {d}}{x}^j) \varvec{\varepsilon } {x}^k \right] \\&+ \int _{T[1]\Sigma } \!\!\!\! d^2 \sigma d^2 \theta \, \left[ \tfrac{1}{8} (\pi ^{im} \pi ^{jn} \pi ^{pq} H_{mql}H_{npk})({x})\, \varvec{{A}}_i \varvec{{A}}_j (\varvec{\varepsilon } {x}^k) \varvec{\varepsilon } {x}^l \right] . \end{aligned}$$
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Ikeda, N., Strobl, T. Correction to: BV and BFV for the H-Twisted Poisson Sigma Model. Ann. Henri Poincaré 22, 1317–1318 (2021). https://doi.org/10.1007/s00023-021-01022-7
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DOI: https://doi.org/10.1007/s00023-021-01022-7