BARYONS FROM SUPERGRAVITY

We study the construction of baryons via supergravity along the line s uggested recently by Witten and by Gross and Ooguri. We calculate the energy of the baryon as a function of its size. As expected the energy is linear with N. For the non-supersymmetric theories (in three and f our dimensions) we find a linear relation which is an indication of co nfinement. For the N = 4 theory we obtain the result (EL = -const.) wh ich is compatible with conformal invariance. Surprisingly, our calcula tion suggests that there is a bound state of k quarks if N greater tha n or equal to k greater than or equal to 5N/8. We study k the N = 4 th eory also at finite temperature and find the zero temperature behavior for small size of the baryon, and screening behavior for baryon, whos e size is large compared to the thermal wavelength.