Plans and references

Conformal Field Theory (Dong-min Gang)

Euclidean path integral approach and applications (Dong-han Yeom)

Lecture 1: Why did Hawking investigate Euclidean analytic continuation?

Refs:

S. W. Hawking, "Particle creation by black holes", Commun.Math.Phys. 43 (1975) 199-220

J. B. Hartle and S. W. Hawking, "Path integral derivation of black hole radiance", Phys.Rev. D13 (1976) 2188-2203

Lecture 2: Entropy and topology of Euclidean black holes

Refs:

S. W. Hawking, "The nature of space and time", hep-th/9409195

G. W. Gibbons and S. W. Hawking, "Action integrals and partition functions in quantum gravity", Phys.Rev. D15 (1977) 2752-2756

J. M. Maldacena, "Eternal black holes in anti-de Sitter", JHEP 0304 (2003) 021

S. W. Hawking, "Information loss in black holes", Phys.Rev. D72 (2005) 084013

Lecture 3: Quantum cosmology: homogeneous analytic continuation

Refs:

J. B. Hartle and S. W. Hawking, "Wave function of the universe", Phys.Rev. D28 (1983) 2960-2975

J. B. Hartle, S. W. Hawking and T. Hertog, "The classical universes of the no-boundary quantum state", Phys.Rev. D77 (2008) 123537

Lecture 4: Quantum cosmology: inhomogeneous analytic continuation

Refs:

S. R. Coleman and F. DeLuccia, "Gravitational effects on and of vacuum decay", Phys.Rev. D21 (1980) 3305

S. W. Hawking and N. Turok, "Open inflation without false vacua", Phys.Lett. B425 (1998) 25-32

Bootstrap (Jason Rong)

1. Introduction to bootstrap philosophy and numerical bootstrap

2. Analytical bootstrap (Large spin perturbation theory)

3. Caron-Huot’s Inversion formula

Refs:

1. D. Simmons-Duffin, “Tasi lecture on conformal bootstrap,” arXiv:1602.07982 

2. L. F. Alday and A. Zhiboedov, “Conformal Bootstrap With Slightly Broken Higher Spin Symmetry,” JHEP 1606, 091 (2016) doi:10.1007/JHEP06(2016)091 [arXiv:1506.04659]

3. L. F. Alday, “Large Spin Perturbation Theory for Conformal Field Theories,” Phys. Rev. Lett. 119, no. 11, 111601 (2017) doi:10.1103/PhysRevLett.119.111601 [arXiv:1611.01500]

4. S. Caron-Huot, “Analyticity in Spin in Conformal Theories,” JHEP 1709, 078 (2017)

QFT on curved background (Miok Park)

Asymptotic symmetry and soft theorem (Min-Seok Seo)

Refs:

1. C. Itzykson, J.-B. Zuber, Quantum Field Theory, Sec. 1-3-2 and 4-1-2.

2. S. Weinberg, The Quantum Theory of Fields, Vol. 1, Sec. 5.9 (See also Phys. Rev. 135 (1964) B1049: http://inspirehep.net/record/26325), Ch. 13.

3. P. P. Kulish, L. D. Faddeev, Theor. Math. Phys. 4 (1970) 745 ( http://inspirehep.net/record/60986).

4. A. Strominger, arXiv: 1703.05448 [hep-th] (http://inspirehep.net/record/1517745).

5. Y. Hamada, M.-S. Seo, G. Shiu, JHEP 1802 (2018) 046 (http://inspirehep.net/record/1639247).

6. S. Weinberg, Cosmology, Sec. 5.4 (See also Phys. Rev. D 67 (2003) 123504: https://inspirehep.net/record/613424).

2d chiral algebra and 4d N=2 SCFTs (Jaewon Song)