nLab Ilka Brunner

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Selected writings

On boundary conformal field theory:

• Ilka Brunner, Michael Douglas, Albion Lawrence, Christian Romelsberger, D-branes on the Quintic, JHEP 0008 (2000) 015 (arXiv:hep-th/9906200)

On Landau-Ginzburg models:

• Ilka Brunner, Daniel Roggenkamp, B-type defects in Landau-Ginzburg models, JHEP 0708 (2007) 093, (arXiv:0707.0922)

The graded pivotal bicategory of B-twisted affine LG models is studied in detail in

• Nils Carqueville, Daniel Murfet, Adjunctions and defects in Landau-Ginzburg models, Advances in Mathematics, Volume 289 (2016), 480-566, (arXiv:1208.1481)

Orbifolds of defects are studied in

• Ilka Brunner, Daniel Roggenkamp, Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds, JHEP 0804 (2008) 001, (arXiv:0712.0188)

• Nils Carqueville, Ingo Runkel, Orbifold completion of defect bicategories, (arXiv:1210.6363)

• Ilka Brunner, Nils Carqueville, Daniel Plencner, Orbifolds and topological defects, Comm. Math. Phys. 332 (2014), 669-712, (arXiv:1307.3141)

• Ilka Brunner, Nils Carqueville, Daniel Plencner, Discrete torsion defects, Comm. Math. Phys. 337 (2015), 429-453, (arXiv:1404.7497)

On permutation D-branes:

• Ilka Brunner, Matthias Gaberdiel, Matrix factorisations and permutation branes, JHEP 0507:012, 2005 (arXiv:hep-th/0503207)

On M-theory on S1/G_HW times H/G_ADE:

• Ilka Brunner, Andreas Karch, Branes at Orbifolds versus Hanany Witten in Six Dimensions, JHEP 9803:003, 1998 (arXiv:hep-th/9712143)

On torsion in the D-brane charge quantization in topological K-theory related to non-geometric vacua:

• Ilka Brunner, Jacques Distler, Torsion D-Branes in Nongeometrical Phases, Adv. Theor. Math. Phys. 5 (2002) 265-309 [doi:10.4310/ATMP.2001.v5.n2.a3, arXiv:hep-th/0102018]

• Ilka Brunner, Jacques Distler, Rahul Mahajan, Return of the Torsion D-Branes, Adv. Theor. Math. Phys. 5 (2002) 311-352 [doi:10.4310/ATMP.2001.v5.n2.a4, arXiv:hep-th/0106262]

Discussion of Rozansky-Witten defect QFT as an extended TQFT via the cobordism hypothesis:

• Ilka Brunner, Nils Carqueville, Daniel Roggenkamp, Truncated affine Rozansky–Witten models as extended TQFTs, Commun. Math. Phys. (2023) [arXiv:2201.03284, doi:10.1007/s00220-022-04614-4]

On physics interpretation of quantum elliptic cohomology:

• Ilka Brunner, Peng Cheng, Hans Jockers: Quantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge Theories [arXiv:2609.09298]

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