abstract duality: opposite category,
concrete duality: dual object, dualizable object, fully dualizable object, dualizing object
Examples
between higher geometry/higher algebra
Langlands duality, geometric Langlands duality, quantum geometric Langlands duality
In QFT and String theory
In string theory, by “exotic branes” [deBoer & Shigemori (2012)] one means first of all $p$-branes of small codimension $D-1-p \leq 2$ (“non-standard branes” Bergshoeff & Riccioni (2012)), such as
D7-branes (codimension 2 defect branes),
D9-branes (codimension 0).
More generally, exotic branes have been argued to be U-duality-twisted objects in non-geometric backgrounds.
According to deBoer & Shigemori 2012, p. 12 all these may be identified as codimension-2 defect branes with U-duality-group monodromy.
Figure 1 from (BMO19). «A comparison of the objects covered by the geometric solutions (backed by orange hashing) and non-geometric solutions (backed by green hashing) out of all the branes down to codimension-$2$ and^{1} $0\leq\alpha\leq -2$, as well as their M-theory lifts. Red lines denote T-duality, blue lines denote lifts/reductions and black lines denote S-dualities.»
Branes of codimension $\leq 2$ are called non-standard branes in:
Eric A. Bergshoeff, Fabio Riccioni, Solitonic branes and wrapping rules, Phys. Part. Nuclei 43 (2012) 557–561 [doi:10.1134/S106377961205005X]
(see also at solitonic brane)
The terminology “exotic branes” is due to:
Jan de Boer, Masaki Shigemori, Exotic Branes in String Theory, Physics Reports 532 (2013) 65-118 (arXiv:1209.6056, doi:j.physrep.2013.07.003)
(discussion as defect branes with U-duality-group monodromy)
David Berman, Felix J. Rudolph, Branes are Waves and Monopoles [arXiv:1409.6314]
Jose J. Fernandez-Melgarejo, Tetsuji Kimura, Yuho Sakatani, Weaving the Exotic Web, JHEP 2018 72 (2018) [doi:10.1007/JHEP09(2018)072]
David S. Berman, Edvard T. Musaev, Ray Otsuki, Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond, J. High Energ. Phys. 2018 53 (2018) [arXiv:1806.00430v4, doi:10.1007/JHEP12(2018)053]
David Berman, Edvard Musaev, Ray Otsuki, Exotic Branes in M-Theory, contribution to: Dualities and Generalized Geometries, Corfu Summer Institute 2018 (arXiv:1903.10247)
Last revised on July 2, 2023 at 14:20:17. See the history of this page for a list of all contributions to it.