nLab Ingo Runkel

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Selected writings

The FRS-theorem on rational 2d CFT:

• Ingo Runkel, Jens Fjelstad, Jürgen Fuchs, Christoph Schweigert, Topological and conformal field theory as Frobenius algebras, in: Categories in Algebra, Geometry and Mathematical Physics Contemp. Math. 431 (2007) 225-248 [doi:10.1090/conm/431, arXiv:math/0512076]

On defects and duality (“generalized global symmetry”) in 2d CFT (via the FRS theorem on 2d rational CFT):

• Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, Kramers-Wannier duality from conformal defects, Phys. Rev. Lett. 93 (2004) 070601 [doi:10.1103/PhysRevLett.93.070601, arXiv:cond-mat/0404051]

• Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, Duality and defects in rational conformal field theory, Nucl. Phys. B 763 (2007) 354-430 [arXiv:hep-th/0607247, doi:10.1016/j.nuclphysb.2006.11.017]

On a reformulation of braided monoidal categories in a manner closer to symmetric closed categories and braided skew-monoidal categories:

• Alexei Davydov, Ingo Runkel: An alternative description of braided monoidal categories, Applied Categorical Structures 23 (2015) 279-309 [doi:10.1007/s10485-013-9338-3, pdf]

Lecture notes on modular tensor categories and rational CFT:

• Ingo Runkel, Algebra in Braided Tensor Categories and Conformal Field Theory (pdf, pdf)

On QFT with defects:

• Nils Carqueville, Michele Del Zotto, Ingo Runkel, Topological defects, in: Encyclopedia of Mathematical Physics 2nd ed [arXiv:2311.02449]

Related entries

• conformal field theory

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