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### Twentysixth School: Heigenbrücken,

31.8.-11.9.2020

funded by the Wilhelm and Else Heraeus Foundation

### Lecture Program:

Gleb Arutyunov(Hamburg) | Integrable systems — from classics to AdS/CFT |

Dorothea Bahns(Göttingen) | Perturbative algebraic quantum field theory |

Daniele Dorigoni(Durham) | Resurgence in quantum field theory |

Marc Henneaux(Brussels, Paris) | Chern-Simons theory and 3D gravity (cancelled because of corona, postponed to 2021) |

Ivo Sachs(Munich) | BV quantization and string field theory |

The instruction language is English.

Some lecture notes may appear later and will be made available here

### Recommended Literature: (to be provided)

- Arutyunov:

1. O. Babelon, D. Bernard, and M. Talon, Introduction to classical integrable systems, Cambridge University Press, 2003.

2. B. Sutherland, Beautiful Models: 70 Years of Exactly Solved Quantum Many-body Problems, World Scientific, 381 p., 2004.

3. C.N. Yang, Some exact results for the many body problems in one dimension with repulsive delta function interaction,

Phys. Rev. Lett., 19:1312–1314, 1967.

4. A.B. Zamolodchikov and Al.B. Zamolodchikov, Factorized S Matrices in Two-Dimensions as the Exact Solutions of Certain Relativistic Quantum Field Models. Annals Phys., 120:253–291, 1979.

5. H.B. Thacker, Exact integrability in quantum field theory and statistical systems, Rev. Mod. Phys., 53:253–285, 1981.

6. L. D. Faddeev, How Algebraic Bethe Ansatz works for integrable model, Les-Houches lectures, arXiv:hep-th/9605187.

7. M. Gaudin, The Bethe Wavefunction, Translated from French original ``La fonction d'onde de Bethe' (1983) by J.-S. Caux, Cambridge University Press, 2014.`

`8. G. Arutyunov, Elements of classical and quantum integrable systems, Springer, 2019.`

- Bahns:

1. M. Dütsch, “From Classical Field Theory to Perturbative Quantum Field Theory”, Birkhäuser 2019

K. Rejzner, “Perturbative Algebraic Quantum Field Theory — An Introduction for Mathematicians”, Springer 2016 `Dorigoni:`

`1. D. Dorigoni: 'An Introduction to Resurgence, Trans-Series and Alien Calculus' 1411.3585`

`2. I. Aniceto, G. Başar, R. Schiappa: 'A Primer on Resurgent Transseries and Their Asymptotics' 1802.10441`

`3. M. Marino,`

‘Lectures on non-perturbative effects in large N gauge theories, matrix models and strings’, 1206.6272- Sachs:

For BV: S. Weinberg “The Quantum Theory of Fields”, Vol. 2

J. Gomis, J. Paris and S. Samuel, “Antibracket, antifields and gauge theory quantization”, hep-th/9412228

For String theory: J. Polchisnki, “String Theory”, Vol. 1