TY - JOUR
T1 - Torus one-point correlation numbers in minimal Liouville gravity
AU - Artemev, A.
AU - Belavin, V.
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/2
Y1 - 2023/2
N2 - We present a method for the first principles calculation of tachyon one-point amplitudes in (2, 2p + 1) minimal Liouville gravity defined on a torus. The method is based on the higher equations of motion in the Liouville CFT. These equations were earlier successfully applied for analytic calculations of the amplitudes in the spherical topology. We show that this approach allows to reduce the moduli integrals entering the definition of the torus amplitudes to certain boundary contributions, which can be calculated explicitly. The results agree with the calculations performed in the matrix models approach.
AB - We present a method for the first principles calculation of tachyon one-point amplitudes in (2, 2p + 1) minimal Liouville gravity defined on a torus. The method is based on the higher equations of motion in the Liouville CFT. These equations were earlier successfully applied for analytic calculations of the amplitudes in the spherical topology. We show that this approach allows to reduce the moduli integrals entering the definition of the torus amplitudes to certain boundary contributions, which can be calculated explicitly. The results agree with the calculations performed in the matrix models approach.
KW - 2D Gravity
KW - Conformal Field Models in String Theory
KW - Conformal and W Symmetry
UR - http://www.scopus.com/inward/record.url?scp=85148432136&partnerID=8YFLogxK
U2 - 10.1007/JHEP02(2023)116
DO - 10.1007/JHEP02(2023)116
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AN - SCOPUS:85148432136
SN - 1126-6708
VL - 2023
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 2
M1 - 116
ER -