Logo der Universität Hamburg

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.

A11 – Integrable Deformations of the AdS Superstring and their Dual Gauge Theories

Project Leaders

Gleb Arutyunov (e-mail | group homepage)

Ingo Runkel (e-mail | group homepage)

Jörg Teschner (e-mail | group homepage)


The aim of this project is to determine exact string theory spectra for backgrounds of current interest, such as those used in the AdS/CFT correspondence or cosmological backgrounds. One important direction is to study integrable deformations of string theory on AdS5 × S5 and eventually to solve for their spectra by means of a recently introduced technique known as the mirror Thermodynamic Bethe Ansatz. In addition we aim to develop a first principles approach to extract the integrable structure of perturbed world sheet conformal field theories.


Lorenz Hilfiker

Rob Klabbers

Enrico Olivucci

Sergei Savin

Former members

Wellington Galleas

Martin Heinze

Per Sundin


Get these publications as bibtex-file

"Generalized fishnets and exact four-point correlators in chiral CFT_4"
Kazakov, Vladimir and Olivucci, Enrico and Preti, Michelangelo
JHEP 06, 078 (2019)
doi: 10.1007/JHEP06(2019)078
eprint: 1901.00011 [hep-th]

"Basso-Dixon Correlators in Two-Dimensional Fishnet CFT"
Derkachov, Sergei and Kazakov, Vladimir and Olivucci, Enrico
JHEP 04, 032 (2019)
doi: 10.1007/JHEP04(2019)032
eprint: 1811.10623 [hep-th]

"Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation"
Arutyunov, Gleb and Klabbers, Rob and Savin, Sergei
JHEP 09, 118 (2018)
doi: 10.1007/JHEP09(2018)118
eprint: 1808.06788 [hep-th]

"Four-point functions of all-different-weight chiral primary operators in the supergravity approximation"
Arutyunov, Gleb and Klabbers, Rob and Savin, Sergei
JHEP 09, 023 (2018)
doi: 10.1007/JHEP09(2018)023
eprint: 1806.09200 [hep-th]

"Quantum Spectral Curve for the η-deformed AdS5 × S5 superstring"
Klabbers, Rob and van Tongeren, Stijn J.
Nucl. Phys. B925, 252-318 (2017)
doi: 10.1016/j.nuclphysb.2017.10.005
eprint: 1708.02894 [hep-th]

"Existence and uniqueness of solutions to Y-systems and TBA equations"
Hilfiker, Lorenz and Runkel, Ingo
eprint: 1708.00001 [math-ph]

"Towards 4-point correlation functions of any 1/2-BPS operators from supergravity"
Arutyunov, Gleb and Frolov, Sergey and Klabbers, Rob and Savin, Sergei
JHEP 04, 005 (2017)
doi: 10.1007/JHEP04(2017)005
eprint: 1701.00998 [hep-th]

"Coset construction of AdS particle dynamics"
Heinze, Martin and Jorjadze, George and Megrelidze, Luka
J. Math. Phys. 58, 012301 (2017)
doi: 10.1063/1.4974322
eprint: 1610.08212 [hep-th]

"Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,ℝ)"
Heinze, Martin and Jorjadze, George
Nucl. Phys. B915, 44-68 (2017)
doi: 10.1016/j.nuclphysb.2016.11.018
eprint: 1610.03519 [hep-th]

"Superintegrability of Geodesic Motion on the Sausage Model"
Arutyunov, G. and Heinze, M. and Medina-Rincon, D.
J. Phys. A50, 244002 (2017)
doi: 10.1088/1751-8121/aa6e0c
eprint: 1608.06481 [hep-th]

"Resurgence of the dressing phase for AdS5 × S5"
Arutyunov, Gleb and Dorigoni, Daniele and Savin, Sergei
JHEP 01, 055 (2017)
doi: 10.1007/JHEP01(2017)055
eprint: 1608.03797 [hep-th]

"Integrability of the η-deformed Neumann–Rosochatius model"
Arutyunov, Gleb and Heinze, Martin and Medina-Rincon, Daniel
J. Phys. A50, 035401 (2017)
doi: 10.1088/1751-8121/50/3/035401
eprint: 1607.05190 [hep-th]

"Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations"
Arutyunov, G. and Frolov, S. and Hoare, B. and Roiban, R. and Tseytlin, A. A.
Nucl. Phys. B903, 262-303 (2016)
doi: 10.1016/j.nuclphysb.2015.12.012
eprint: 1511.05795 [hep-th]

"Puzzles of η-deformed AdS5 × S5"
Arutyunov, Gleb and Borsato, Riccardo and Frolov, Sergey
JHEP 12, 049 (2015)
doi: 10.1007/JHEP12(2015)049
eprint: 1507.04239 [hep-th]

"Off-shell scalar products for the XXZ spin chain with open boundaries"
Galleas, W.
Nucl.Phys. B893, 346-375 (2015)
doi: 10.1016/j.nuclphysb.2015.02.010
eprint: 1412.5389 [math-ph]

"Double Wick rotating Green-Schwarz strings"
Arutyunov, Gleb and van Tongeren, Stijn J.
JHEP 1505, 027 (2015)
doi: 10.1007/JHEP05(2015)027
eprint: 1412.5137 [hep-th]


PhD thesis: "Quantum Spectral Curve for the η-deformed AdS5 × S5 superstring"
Rob Klabbers
Universität Hamburg (2017)
[ link ]

Impressum  | last modified 27 Aug 2019