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Holographic c-theorems

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and Entanglement Entropy<br />

• place boundary CFT on S d-1 X R, divide sphere in half on an<br />

equator and calculate entanglement entropy<br />

EE Calculation:<br />

1) construct n-fold cover of (euclidean) geometry<br />

3) analytically continue geometry to real n<br />

2) calculate partition function Z n on this geometry<br />

4) calculate entropy:<br />

(see Kulaxizi’s talk)<br />

• would like to interchange steps 2) & 3)<br />

work on geometry with conical defect (n=1+ε)<br />

• this interchange requires angle is a symmetry, but not case here

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