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String Theory and M-Theory

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698 Bibliographic discussion<br />

Maldacena, McAllister <strong>and</strong> Trivedi (2003) discussed the application to inflation.<br />

Review articles on string cosmology include Linde (1999), Quevedo<br />

(2002) <strong>and</strong> Danielsson (2005).<br />

Chapter 11<br />

The general relativity textbooks Wald (1984) <strong>and</strong> Carroll (2004) provide<br />

useful background. Bekenstein (1973) proposed that the entropy of black<br />

holes should be proportional to the area of the event horizon. The discovery<br />

of black-hole radiation in Hawking (1975) confirmed previous indications<br />

in Bardeen, Carter <strong>and</strong> Hawking (1973) of the thermodynamic behavior of<br />

black holes. The information loss problem, which implies a possible breakdown<br />

of quantum mechanics, was pointed out in Hawking (1976). A statistical<br />

derivation of black-hole entropy using string theory techniques was<br />

given first in Strominger <strong>and</strong> Vafa (1996). Review articles describing this<br />

<strong>and</strong> other aspects of black holes in string theory are Sen (1998b), Maldacena<br />

(1998a), Peet (2001) <strong>and</strong> Mathur (2006).<br />

The attractor mechanism was introduced in Ferrara, Kallosh <strong>and</strong> Strominger<br />

(1995). Our presentation follows Denef (2000). Black-ring solutions<br />

were found in Emparan <strong>and</strong> Reall (2002). The conjecture relating microscopic<br />

degeneracies to the topological string was proposed in Ooguri, Strominger<br />

<strong>and</strong> Vafa (2004). The subject is reviewed in Pioline (2006). Our<br />

discussion of microscopic black holes follows Dabholkar, Denef, Moore <strong>and</strong><br />

Pioline (2005).<br />

Chapter 12<br />

Black p-brane solutions were constructed in Horowitz <strong>and</strong> Strominger (1996).<br />

Relevant reviews include Townsend (1996b), Duff (1996) <strong>and</strong> Stelle (1998).<br />

Matrix theory was introduced in Banks, Fischler, Shenker <strong>and</strong> Susskind<br />

(1997). The discrete light-cone quantization interpretation for finite N was<br />

proposed in Susskind (1997). Reviews of matrix theory include Bigatti <strong>and</strong><br />

Susskind (1997), Taylor (1998), Banks (1998) <strong>and</strong> Bilal (1999). An explanation<br />

of why Matrix theory is correct was given in Seiberg (1997) <strong>and</strong><br />

Sen (1998a). Matrix string theory was formulated in Dijkgraaf, Verlinde<br />

<strong>and</strong> Verlinde (1997). Berenstein, Maldacena <strong>and</strong> Nastase (2002) gave a<br />

generalization of matrix theory that describes M-theory in a plane-wave<br />

background.<br />

The large-N expansion of U(N) gauge theory was given in ’t Hooft (1974).<br />

The AdS/CFT correspondence was spelled out in the l<strong>and</strong>mark paper Mal-

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