Benetti Genolini Pietro, Gauntlett Jerome P, Jiao Yusheng, Lüscher Alice, Sparks James
Départment de Physique Théorique, <a href="https://ror.org/01swzsf04">Université de Genève</a>, 24 quai Ernest-Ansermet, 1211 Genève, Suisse.
Blackett Laboratory, <a href="https://ror.org/041kmwe10">Imperial College</a>, Prince Consort Road, London SW7 2AZ, United Kingdom.
Phys Rev Lett. 2024 Oct 4;133(14):141601. doi: 10.1103/PhysRevLett.133.141601.
We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D=4, N=2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.
我们推导了与矢量多重态物质耦合的D = 4、N = 2规范超引力的欧几里得超对称解的引力自由能的一般公式。这使得人们无需求解任何超引力方程就能计算自由能,只需假设解存在即可。除了轻松恢复文献中的一些已知结果外,我们还给出了与全息对偶场论计算相匹配的新的超引力结果。