In what year did Strominger and Vafa show their black hle theory ?
He is known in the string theory community for his co-discovery , with Strominger , that the Bekenstein - Hawking entropy of a black hole can be accounted for by solitonic states of superstring theory , and for expounding the relation between geometry and field theories that arise through string dualities ( culminating in the Gopakumar - Vafa conjecture ) .