3d N=4 Bootstrap and Mirror Symmetry

Chi-Ming Chang Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Center for Quantum Mathematics and Physics (QMAP), University of California, Davis, CA 95616, USA Martin Fluder Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan; Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USA; Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA Ying-Hsuan Lin Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USA; Hsinchu County Environmental Protection Bureau, Hsinchu, Taiwan Shu-Heng Shao School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA Yifan Wang Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA; Center of Mathematical Sciences and Applications, Harvard University, Cambridge, MA 02138, USA; Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74018

SciPost Physics, 10, (097), 2021.4
We investigate the non-BPS realm of 3d N=4 superconformal field theory by uniting the non-perturbative methods of the conformal bootstrap and supersymmetric localization, and utilizing special features of 3d N=4 theories such as mirror symmetry and a protected sector described by topological quantum mechanics (TQM). Supersymmetric localization allows for the exact determination of the conformal and flavor central charges, and the latter can be fed into the mini-bootstrap of the TQM to solve for a subset of the OPE data. We examine the implications of the Z_2 mirror action for the SCFT single- and mixed-branch crossing equations for the moment map operators, and apply numerical bootstrap to obtain universal constraints on OPE data for given flavor symmetry groups. A key ingredient in applying the bootstrap analysis is the determination of the mixed-branch superconformal blocks. Among other results, we show that the simplest known self-mirror theory with SU(2)×SU(2) flavor symmetry saturates our bootstrap bounds, which allows us to extract the non-BPS data and examine the self-mirror Z_2 symmetry thereof.
No keywords uploaded!
[ Download ] [ 2022-07-02 14:30:30 uploaded by changcm ] [ 10 downloads ] [ 0 comments ]
@inproceedings{chi-ming20213d,
  title={3d N=4 Bootstrap and Mirror Symmetry},
  author={Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, Shu-Heng Shao, and Yifan Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702143030908618514},
  booktitle={SciPost Physics},
  volume={10},
  number={097},
  year={2021},
}
Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, Shu-Heng Shao, and Yifan Wang. 3d N=4 Bootstrap and Mirror Symmetry. 2021. Vol. 10. In SciPost Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702143030908618514.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved