References
67
References
1. A. Bilal, C. de Lacroix, 2D gravitational Mabuchi action on Riemann surfaces with boundaries.
J. High Energy Phys. 2017(11), 154 (2017). https://doi.org/10.1007/JHEP11(2017)154. arXiv:
1703.10541
2. A. Bilal, L. Leduc, 2D quantum gravity on compact Riemann surfaces with non-conformal
matter. J. High Energy Phys. 2017(01), 089 (2017). https://doi.org/10.1007/JHEP01(2017)089.
arXiv: 1606.01901
3. R. Blumenhagen, D. Lüst, S. Theisen, Basic Concepts of String Theory, 2013 edn. (Springer,
Berlin, 2014)
4. T. Can, M. Laskin, P. Wiegmann, Geometry of quantum hall states: gravitational anomaly and
kinetic coefficients. Ann. Phys. 362, 752–794 (2015). https://doi.org/10.1016/j.aop.2015.02.
013. arXiv: 1411.3105
5. F. David, Conformal field theories coupled to 2-D gravity in the conformal gauge. Mod. Phys.
Lett. A 03(17), 1651–1656 (1988). https://doi.org/10.1142/S0217732388001975
6. P. Deligne, P. Etingof, D.S. Freed, L.C. Jeffrey, D. Kazhdan, J.W. Morgan, D.R. Morrison, E.
Witten (eds.), Quantum Fields and Strings: A Course for Mathematicians. Volume 1 (American
Mathematical Society, Providence, 1999)
7. P. Deligne, P. Etingof, D.S. Freed, L.C. Jeffrey, D. Kazhdan, J.W. Morgan, D.R. Morrison,
E. Witten (eds.), Quantum Fields and Strings: A Course for Mathematicians. Volume 2.
(American Mathematical Society, Providence, 1999)
8. E. D’Hoker, Equivalence of Liouville theory and 2-D quantum gravity. Mod. Phys. Lett. A
06(09), 745–767 (1991). https://doi.org/10.1142/S0217732391000774
9. E. D’Hoker, P.S. Kurzepa, 2D quantum gravity and Liouville theory. Mod. Phys. Lett. A
05(18), 1411–1421 (1990). https://doi.org/10.1142/S0217732390001608
10. E. D’Hoker, D.H. Phong, Multiloop amplitudes for the Bosonic Polyakov string. Nucl. Phys.
B 269(1), 205–234 (1986). https://doi.org/10.1016/0550-3213(86)90372-X
11. E. D’Hoker, D.H. Phong, The geometry of string perturbation theory. Rev. Mod. Phys. 60(4),
917–1065 (1988). https://doi.org/10.1103/RevModPhys.60.917
12. P. Di Francesco, P. Mathieu, D. Senechal, Conformal Field Theory, 2nd edn. (Springer, Berlin,
1999)
13. J. Distler, H. Kawai, Conformal field theory and 2D quantum gravity. Nucl. Phys. B 321(2),
509–527 (1989). https://doi.org/10.1016/0550-3213(89)90354-4
14. F. Ferrari, S. Klevtsov, FQHE on curved backgrounds, free fields and large N. J. High Energy
Phys. 2014(12), 086 (2014). https://doi.org/10.1007/JHEP12(2014)086. arXiv: 1410.6802
15. F. Ferrari, S. Klevtsov, S. Zelditch, Gravitational actions in two dimensions and the Mabuchi
functional. Nucl. Phys. B 859(3), 341–369 (2012). https://doi.org/10.1016/j.nuclphysb.2012.
02.003. arXiv: 1112.1352
16. D.Z. Freedman, A. Van Proeyen, Supergravity (Cambridge University Press, Cambridge, 2012)
17. H.W. Hamber, Quantum Gravitation: The Feynman Path Integral Approach (Springer, Berlin,
2009)
18. B. Hatfield, Quantum Field Theory of Point Particles and Strings (Addison Wesley, Boston,
1998)
19. A. Iorio, L. O’Raifeartaigh, I. Sachs, C. Wiesendanger, Weyl-Gauging and conformal invariance. Nucl. Phys. B 495(1–2), 433–450 (1997). https://doi.org/10.1016/S05503213(97)00190-9. arXiv: hep-th/9607110
20. R. Jackiw, Another view on massless matter-gravity fields in two dimensions, Jan 1995
21. M. Kaku, Introduction to Superstrings and M-Theory (Springer, Berlin, 1999)
22. E. Kiritsis, String Theory in a Nutshell (Princeton University Press, Princeton, 2007)
23. I.D. Lawrie, A Unified Grand Tour of Theoretical Physics, 3rd edn. (CRC Press, Boca Raton,
2012)
67
References
1. A. Bilal, C. de Lacroix, 2D gravitational Mabuchi action on Riemann surfaces with boundaries.
J. High Energy Phys. 2017(11), 154 (2017). https://doi.org/10.1007/JHEP11(2017)154. arXiv:
1703.10541
2. A. Bilal, L. Leduc, 2D quantum gravity on compact Riemann surfaces with non-conformal
matter. J. High Energy Phys. 2017(01), 089 (2017). https://doi.org/10.1007/JHEP01(2017)089.
arXiv: 1606.01901
3. R. Blumenhagen, D. Lüst, S. Theisen, Basic Concepts of String Theory, 2013 edn. (Springer,
Berlin, 2014)
4. T. Can, M. Laskin, P. Wiegmann, Geometry of quantum hall states: gravitational anomaly and
kinetic coefficients. Ann. Phys. 362, 752–794 (2015). https://doi.org/10.1016/j.aop.2015.02.
013. arXiv: 1411.3105
5. F. David, Conformal field theories coupled to 2-D gravity in the conformal gauge. Mod. Phys.
Lett. A 03(17), 1651–1656 (1988). https://doi.org/10.1142/S0217732388001975
6. P. Deligne, P. Etingof, D.S. Freed, L.C. Jeffrey, D. Kazhdan, J.W. Morgan, D.R. Morrison, E.
Witten (eds.), Quantum Fields and Strings: A Course for Mathematicians. Volume 1 (American
Mathematical Society, Providence, 1999)
7. P. Deligne, P. Etingof, D.S. Freed, L.C. Jeffrey, D. Kazhdan, J.W. Morgan, D.R. Morrison,
E. Witten (eds.), Quantum Fields and Strings: A Course for Mathematicians. Volume 2.
(American Mathematical Society, Providence, 1999)
8. E. D’Hoker, Equivalence of Liouville theory and 2-D quantum gravity. Mod. Phys. Lett. A
06(09), 745–767 (1991). https://doi.org/10.1142/S0217732391000774
9. E. D’Hoker, P.S. Kurzepa, 2D quantum gravity and Liouville theory. Mod. Phys. Lett. A
05(18), 1411–1421 (1990). https://doi.org/10.1142/S0217732390001608
10. E. D’Hoker, D.H. Phong, Multiloop amplitudes for the Bosonic Polyakov string. Nucl. Phys.
B 269(1), 205–234 (1986). https://doi.org/10.1016/0550-3213(86)90372-X
11. E. D’Hoker, D.H. Phong, The geometry of string perturbation theory. Rev. Mod. Phys. 60(4),
917–1065 (1988). https://doi.org/10.1103/RevModPhys.60.917
12. P. Di Francesco, P. Mathieu, D. Senechal, Conformal Field Theory, 2nd edn. (Springer, Berlin,
1999)
13. J. Distler, H. Kawai, Conformal field theory and 2D quantum gravity. Nucl. Phys. B 321(2),
509–527 (1989). https://doi.org/10.1016/0550-3213(89)90354-4
14. F. Ferrari, S. Klevtsov, FQHE on curved backgrounds, free fields and large N. J. High Energy
Phys. 2014(12), 086 (2014). https://doi.org/10.1007/JHEP12(2014)086. arXiv: 1410.6802
15. F. Ferrari, S. Klevtsov, S. Zelditch, Gravitational actions in two dimensions and the Mabuchi
functional. Nucl. Phys. B 859(3), 341–369 (2012). https://doi.org/10.1016/j.nuclphysb.2012.
02.003. arXiv: 1112.1352
16. D.Z. Freedman, A. Van Proeyen, Supergravity (Cambridge University Press, Cambridge, 2012)
17. H.W. Hamber, Quantum Gravitation: The Feynman Path Integral Approach (Springer, Berlin,
2009)
18. B. Hatfield, Quantum Field Theory of Point Particles and Strings (Addison Wesley, Boston,
1998)
19. A. Iorio, L. O’Raifeartaigh, I. Sachs, C. Wiesendanger, Weyl-Gauging and conformal invariance. Nucl. Phys. B 495(1–2), 433–450 (1997). https://doi.org/10.1016/S05503213(97)00190-9. arXiv: hep-th/9607110
20. R. Jackiw, Another view on massless matter-gravity fields in two dimensions, Jan 1995
21. M. Kaku, Introduction to Superstrings and M-Theory (Springer, Berlin, 1999)
22. E. Kiritsis, String Theory in a Nutshell (Princeton University Press, Princeton, 2007)
23. I.D. Lawrie, A Unified Grand Tour of Theoretical Physics, 3rd edn. (CRC Press, Boca Raton,
2012)