140
6 Conformal Field Theory on the Plane
10. M.R. Gaberdiel, An introduction to conformal field theory (1999). https://doi.org/10.1088/
0034-4885/63/4/203. arXiv: hep-th/9910156
11. M.R. Gaberdiel, An algebraic approach to logarithmic conformal field theory. Int. J. Mod.
Phys. A 18(25), 4593–4638 (2003). https://doi.org/10.1142/S0217751X03016860. arXiv: hepth/0111260
12. P. Ginsparg, Applied conformal field theory (1988). arXiv: hep-th/9108028
13. M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory: Introduction, vol. 1. (Cambridge
University Press, Cambridge, 1988)
14. E. Guadagnini, Central charge, trace and gravitational anomalies in two dimensions. Phys. Rev.
D 38(8), 2482–2489 (1988). https://doi.org/10.1103/PhysRevD.38.2482
15. V. Gurarie, Logarithmic operators in conformal field theory. Nucl. Phys. B 410(3), 535–549
(1993). https://doi.org/10.1016/0550-3213(93)90528-W. arXiv: hep-th/9303160
16. D. Harlow, J. Maltz, E. Witten, Analytic continuation of Liouville theory. J. High Energy Phys.
12, 071 (2011). https://doi.org/10.1007/JHEP12(2011)071. arXiv: 1108.4417
17. M. Hatsuda, P. van Nieuwenhuizen, W. Troost, A. Van Proeyen, The regularized phase space
path integral measure for a scalar field coupled to gravity. Nucl. Phys. B 335(1), 166–196
(1990). https://doi.org/10.1016/0550-3213(90)90176-E
18. M. Henkel, Conformal Invariance and Critical Phenomena, 1st edn. (Springer, Berlin, 2010)
19. Y. Ikhlef, J.L. Jacobsen, H. Saleur, Three-point functions in c ≤ 1 Liouville theory and
conformal loop ensembles (v1). Phys. Rev. Lett. 116(13), 130601 (2016). https://doi.org/10.
1103/PhysRevLett.116.130601. arXiv: 1509.03538
20. C. Itzykson, J.-M. Drouffe, Théorie statistique des champs, vol. 2. (EDP Sciences, 2000)
21. R. Jackiw, Another view on massless matter-gravity fields in two dimensions (1995). arXiv:
hep-th/9501016
22. S.V. Ketov, Conformal Field Theory (World Scientific, Singapore, 1995)
23. E. Kiritsis, String Theory in a Nutshell (Princeton University Press, Princeton, 2007)
24. M. Knecht, S. Lazzarini, F. Thuillier, Shifting the Weyl anomaly to the chirally split
diffeomorphism anomaly in two dimensions. Phys. Lett. B 251(2), 279–283 (1990). https://
doi.org/10.1016/0370-2693(90)90936-Z
25. I.I. Kogan, N.E. Mavromatos, World-sheet logarithmic operators and target space symmetries
in string theory. Phys. Lett. B 375(1–4), 111–120 (1996). https://doi.org/10.1016/03702693(96)00195-5. arXiv: hep-th/9512210
26. G. Mussardo, Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical
Physics (Oxford University Press, Oxford, 2009)
27. M. Picco, R. Santachiara, J. Viti, G. Delfino, Connectivities of Potts Fortuin–Kasteleyn clusters
and time-like Liouville correlator. Nucl. Phys. B 875(3), 719–737 (2013). https://doi.org/10.
1016/j.nuclphysb.2013.07.014. arXiv: 1304.6511
28. J. Polchinski, String Theory: Volume 1, An Introduction to the Bosonic String (Cambridge
University Press, Cambridge, 2005)
29. J. Polchinski, String Theory, Volume 2: Superstring Theory and Beyond (Cambridge University
Press, Cambridge, 2005)
30. J.D. Qualls, Lectures on conformal field theory (2015). arXiv: 1511.04074
31. S. Ribault, Conformal field theory on the plane (2014). arXiv: 1406.4290
32. S. Ribault, Minimal lectures on two-dimensional conformal field theory. SciPost Phys. Lect.
Notes (2018). https://doi.org/10.21468/SciPostPhysLectNotes.1. arXiv: 1609.09523
33. S. Ribault, R. Santachiara, Liouville theory with a central charge less than one. J. High Energy
Phys. 2015(8), 109 (2015). https://doi.org/10.1007/JHEP08(2015)109. arXiv: 1503.02067
34. A.N. Schellekens, Introduction to conformal field theory (2016). http://www.nikhef.nl/~t58/
CFT.pdf
35. M. Schottenloher, A Mathematical Introduction to Conformal Field Theory, 2nd edn. (Springer,
Berlin, 2008)
36. A. Sen, Reality of superstring field theory action. J. High Energy Phys. 2016(11), 014 (2016).
https://doi.org/10.1007/JHEP11(2016)014. arXiv: 1606.03455
6 Conformal Field Theory on the Plane
10. M.R. Gaberdiel, An introduction to conformal field theory (1999). https://doi.org/10.1088/
0034-4885/63/4/203. arXiv: hep-th/9910156
11. M.R. Gaberdiel, An algebraic approach to logarithmic conformal field theory. Int. J. Mod.
Phys. A 18(25), 4593–4638 (2003). https://doi.org/10.1142/S0217751X03016860. arXiv: hepth/0111260
12. P. Ginsparg, Applied conformal field theory (1988). arXiv: hep-th/9108028
13. M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory: Introduction, vol. 1. (Cambridge
University Press, Cambridge, 1988)
14. E. Guadagnini, Central charge, trace and gravitational anomalies in two dimensions. Phys. Rev.
D 38(8), 2482–2489 (1988). https://doi.org/10.1103/PhysRevD.38.2482
15. V. Gurarie, Logarithmic operators in conformal field theory. Nucl. Phys. B 410(3), 535–549
(1993). https://doi.org/10.1016/0550-3213(93)90528-W. arXiv: hep-th/9303160
16. D. Harlow, J. Maltz, E. Witten, Analytic continuation of Liouville theory. J. High Energy Phys.
12, 071 (2011). https://doi.org/10.1007/JHEP12(2011)071. arXiv: 1108.4417
17. M. Hatsuda, P. van Nieuwenhuizen, W. Troost, A. Van Proeyen, The regularized phase space
path integral measure for a scalar field coupled to gravity. Nucl. Phys. B 335(1), 166–196
(1990). https://doi.org/10.1016/0550-3213(90)90176-E
18. M. Henkel, Conformal Invariance and Critical Phenomena, 1st edn. (Springer, Berlin, 2010)
19. Y. Ikhlef, J.L. Jacobsen, H. Saleur, Three-point functions in c ≤ 1 Liouville theory and
conformal loop ensembles (v1). Phys. Rev. Lett. 116(13), 130601 (2016). https://doi.org/10.
1103/PhysRevLett.116.130601. arXiv: 1509.03538
20. C. Itzykson, J.-M. Drouffe, Théorie statistique des champs, vol. 2. (EDP Sciences, 2000)
21. R. Jackiw, Another view on massless matter-gravity fields in two dimensions (1995). arXiv:
hep-th/9501016
22. S.V. Ketov, Conformal Field Theory (World Scientific, Singapore, 1995)
23. E. Kiritsis, String Theory in a Nutshell (Princeton University Press, Princeton, 2007)
24. M. Knecht, S. Lazzarini, F. Thuillier, Shifting the Weyl anomaly to the chirally split
diffeomorphism anomaly in two dimensions. Phys. Lett. B 251(2), 279–283 (1990). https://
doi.org/10.1016/0370-2693(90)90936-Z
25. I.I. Kogan, N.E. Mavromatos, World-sheet logarithmic operators and target space symmetries
in string theory. Phys. Lett. B 375(1–4), 111–120 (1996). https://doi.org/10.1016/03702693(96)00195-5. arXiv: hep-th/9512210
26. G. Mussardo, Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical
Physics (Oxford University Press, Oxford, 2009)
27. M. Picco, R. Santachiara, J. Viti, G. Delfino, Connectivities of Potts Fortuin–Kasteleyn clusters
and time-like Liouville correlator. Nucl. Phys. B 875(3), 719–737 (2013). https://doi.org/10.
1016/j.nuclphysb.2013.07.014. arXiv: 1304.6511
28. J. Polchinski, String Theory: Volume 1, An Introduction to the Bosonic String (Cambridge
University Press, Cambridge, 2005)
29. J. Polchinski, String Theory, Volume 2: Superstring Theory and Beyond (Cambridge University
Press, Cambridge, 2005)
30. J.D. Qualls, Lectures on conformal field theory (2015). arXiv: 1511.04074
31. S. Ribault, Conformal field theory on the plane (2014). arXiv: 1406.4290
32. S. Ribault, Minimal lectures on two-dimensional conformal field theory. SciPost Phys. Lect.
Notes (2018). https://doi.org/10.21468/SciPostPhysLectNotes.1. arXiv: 1609.09523
33. S. Ribault, R. Santachiara, Liouville theory with a central charge less than one. J. High Energy
Phys. 2015(8), 109 (2015). https://doi.org/10.1007/JHEP08(2015)109. arXiv: 1503.02067
34. A.N. Schellekens, Introduction to conformal field theory (2016). http://www.nikhef.nl/~t58/
CFT.pdf
35. M. Schottenloher, A Mathematical Introduction to Conformal Field Theory, 2nd edn. (Springer,
Berlin, 2008)
36. A. Sen, Reality of superstring field theory action. J. High Energy Phys. 2016(11), 014 (2016).
https://doi.org/10.1007/JHEP11(2016)014. arXiv: 1606.03455