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The SFB 676 has been funded by the DFG from 2006 to 2018. The project was completed with a special colloquium in June 2018. A book with the scientific results of the SFB 676 has been published in September 2018.

J. Haller and M. Grefe (eds.), “Particles, Strings and the Early Universe: The Structure of Matter and Space-Time,” Hamburg (2018), DOI: 10.3204/PUBDB-2018-00782.

Many research directions developed within the SFB 676 will be continued within the Cluster of Excellence "Quantum Universe" starting 1 January 2019.

A8 – Integrability in Two-dimensional Conformal Field Theory

Project Leaders

Ingo Runkel (e-mail | group homepage)

Jörg Teschner (e-mail | group homepage)


Many string backgrounds of current interest, such as those used in the AdS/CFT correspondence or cosmological backgrounds, do not have a world sheet conformal field theory (CFT) description which can be solved with currently available methods. In this project we develop a new set of tools to tackle a class of such CFTs, namely those which still have an integrable symmetry. We will use two complementary approaches to understand the interplay between the chiral and integrable symmetries, and our results will then be applied to find for example the exact spectrum of the world sheet CFT.

Former members

David Bücher

Constantin Candu

Karol Kozlowski

Carlo Meneghelli

Elli Pomoni

Václav Tlapák


Get these publications as bibtex-file

"Integrable light-cone lattice discretizations from the universal R-matrix"
Meneghelli, C. and Teschner, J.
Adv. Theor. Math. Phys. 21, 1189-1371 (2017)
doi: 10.4310/ATMP.2017.v21.n5.a3
eprint: 1504.04572 [hep-th]

"Integrable perturbations of conformal field theories and Yetter-Drinfeld modules"
Buecher, David and Runkel, Ingo
J. Math. Phys. 55, 111705 (2014)
doi: 10.1063/1.4902003
eprint: 1211.4726 [math.QA]

"A braided monoidal category for free super-bosons"
Runkel, Ingo
J. Math. Phys. 55, 041702 (2014)
doi: 10.1063/1.4868467
eprint: 1209.5554 [math.QA]

"Spectra of Coset Sigma Models"
Candu, Constantin and Mitev, Vladimir and Schomerus, Volker
Nucl. Phys. B877, 900-935 (2013)
doi: 10.1016/j.nuclphysb.2013.10.026
eprint: 1308.5981 [hep-th]

"Anomalous Dimensions in Deformed WZW Models on Supergroups"
Candu, Constantin and Mitev, Vladimir and Schomerus, Volker
JHEP 1303, 003 (2013)
doi: 10.1007/JHEP03(2013)003
eprint: 1211.2238 [hep-th]

"From Baxter Q-Operators to Local Charges"
Frassek, Rouven and Meneghelli, Carlo
J.Stat.Mech. 1302, P02019 (2013)
doi: 10.1088/1742-5468/2013/02/P02019
eprint: 1207.4513 [hep-th]

"Baxter Operators and Hamiltonians for 'nearly all' Integrable Closed gln Spin Chains"
Frassek, Rouven and Lukowski, Tomasz and Meneghelli, Carlo and Staudacher, Matthias
Nucl. Phys. B874, 620-646 (2013)
doi: 10.1016/j.nuclphysb.2013.06.006
eprint: 1112.3600 [math-ph]

"Exactly marginal parafermions"
Candu, Constantin and Schomerus, Volker
Phys.Rev. D84, 051704 (2011)
doi: 10.1103/PhysRevD.84.051704
eprint: 1104.5028 [hep-th]

"Integrability of a family of quantum field theories related to sigma models"
Ridout, David and Teschner, Jorg
Nucl.Phys. B853, 327-378 (2011)
doi: 10.1016/j.nuclphysb.2011.07.019
eprint: 1102.5716 [hep-th]

"TBA for the Toda chain"
Kozlowski, Karol Kajetan and Teschner, Jörg
New trends in quantum integrable systems, World Sci. Publ., Hackensack, NJ (2011)
doi: 10.1142/9789814324373_0011
[ link ]


PhD thesis: "Spectra of Conformal Sigma Models"
Václav, Tlapák
Universität Hamburg (2015)
doi: 10.3204/DESY-THESIS-2015-015
[ link ]

PhD thesis: "Integrable Perturbations of 2-dimensional Conformal Field Theories"
Bücher, David
Universität Hamburg (2013)

PhD thesis: "Sigma models on supercosets"
Mitev, Vladimir
Universität Hamburg (2010)
doi: 10.3204/DESY-THESIS-2010-034
[ link ]

Impressum  | last modified 01 Aug 2018