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Artikel baru : Superstring and Gauge Theory Correspondence
Oleh : Ardian Nata Atmaja
Senin, 11 September 2006 (15:58 WIB) dari IP 126.96.36.199
Naskah lengkap bisa diunduh elalui halaman PUBLIKASI di item TESIS S2.
Superstring and Gauge Theory Correspondence
Ardian Nata Atmaja
In the strongest form of the conjecture, the correspondence is to hold for all values of N and all regimes of coupling gs = g2Y M. Certain limits of the conjecture are, however, also highly non-trivial. The ‘t Hooft limit on the SYM-side , in which g2Y MN is fixed as N ! 1 corresponds to classical string theory on AdS5 × S5 (no string loops) on the AdS-side. In this sense, classical string theory on AdS5 ×S5 provides with a classical Lagrangian formulation of the large N dynamics of N = 4 SYM theory, often referred to as the masterfield equations. A further limit ! 1 reduces classical string theory to classical Type IIB supergravity on AdS5×S5. Thus, strong coupling dynamics in SYM theory (at least in the large N limit) is mapped onto classical low energy dynamics in supergravity and string theory, a problem that offers a reasonable chance for solution. The conjecture correspondence is between a 10-dimensional theory of gravity and a 4-dimensional theory without gravity at all. The fact that all the 10-dimensional dynamical degrees of freedom can somehow be encoded in a 4-dimensional theory living at the boundary of AdS5 suggests that the gravity bulk dynamics results from a holographic image generated by the dynamics of the boundary theory. Therefore, the correspondence is also often referred to as holographic . The main idea in Maldacena conjecture  was that a suitable theory on AdSd+1 would be equivalent to a conformal field theory in d dimensions. The most surprising statement in Maldacena conjecture was that to describe the N = 4 super Yang-Mills theory in four dimensions, one should not use only just low energy supergravity on AdS5 but the whole infinite tower of massive Kaluza-Klein states on AdS5×S5. Chiral fields in the four dimensional N = 4 theory (this is fields in small representations of the supersymmetry algebra) correspond to Kaluza-Klein harmonics on AdS5 × S5.
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