Alday Luis F, Fluder Martin, Richmond Paul, Sparks James
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Phys Rev Lett. 2014 Oct 3;113(14):141601. doi: 10.1103/PhysRevLett.113.141601. Epub 2014 Sep 29.
We present the gravity dual of large N supersymmetric gauge theories on a squashed five-sphere. The one-parameter family of solutions is constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplifts to massive type IIA supergravity. By renormalizing the theory with appropriate counterterms we evaluate the renormalized on-shell action for the solutions. We also evaluate the large N limit of the gauge theory partition function, and find precise agreement.
我们给出了在压扁的五维球面上大N超对称规范理论的引力对偶。该单参数解族是在六维欧几里得罗曼斯F(4)规范超引力中构造的，并提升到有质量的IIA型超引力。通过用适当的抵消项对理论进行重整化，我们计算了这些解的重整化的壳上作用量。我们还计算了规范理论配分函数的大N极限，并发现了精确的一致性。
