Holographic Weyl anomaly in string theory
Holographic Weyl anomaly in string theory
We compute the worldsheet sphere partition function of string theory on global AdS _3 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi /><mml:mn>3</mml:mn></mml:msub></mml:math> with pure NS-NS flux. Because of an unfixed Möbius symmetry on the worldsheet, there is a cancellation of infinities and only a part of the answer is unambiguous. We show that it …