Abstract
We study the string worldsheet description of the background geometry of the exotic \( 5_2^2 \)-brane where two isometries are gauged. This is an extension of the gauged linear sigma model (GLSM) for the exotic \( 5_2^2 \)-brane with a single gauged isometry. The new GLSM with two gauged isometries has only \( \mathcal{N} \) = (2, 2) supersymmetry rather than \( \mathcal{N} \) = (4, 4) supersymmetry of the original GLSM. This is caused by a conflict between two different SU(2)R associated with the two gauge symmetries. However, if we take a certain limit, we can find the genuine string sigma model of the background geometry of the exotic \( 5_2^2 \)-brane with \( \mathcal{N} \) = (4, 4) supersymmetry. We also investigate the worldsheet instanton corrections to the background geometry of the exotic \( 5_2^2 \)-brane. The worldsheet instanton corrections to the string sigma model can be traced in terms of the two gauge fields in the new GLSM. This new GLSM gives rise to a different feature of the quantum corrections from the one in the GLSM with the single gauged isometry.
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ArXiv ePrint: 1310.6163
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Kimura, T., Sasaki, S. Worldsheet description of exotic five-brane with two gauged isometries. J. High Energ. Phys. 2014, 128 (2014). https://doi.org/10.1007/JHEP03(2014)128
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DOI: https://doi.org/10.1007/JHEP03(2014)128