#### Alladi Ramakrishnan Hall

#### Lecture(s) on Free Energy

#### Dharmesh Jain

##### SINP

*I will review the computation of free energy (F) of 3-dimensional *N*=3*

supersymmetric theories. Specifically, we will start from a discussion of

localizing 3-dimensional susy gauge theories on a 3-sphere to compute their

partition functions (Z). We will specialize to quiver gauge theories, which

have well-known gravity duals. We will then take the large N limit (N is

the rank of gauge group) of F=-ln(Z) to get an expression with the

well-known N^{3/2} scaling and a “volume” factor, which we calculated just

for fun in the previous lecture(s). [arXiv:1211.1388]

Done