Article

Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model

Physical review D: Particles and fields 03/2005; DOI: 10.1103/PhysRevD.72.066001
Source: arXiv

ABSTRACT In a previous paper hep-th/0410182 we constructed wave functions and vertex operators for massless supergravity fields in type IIB matrix model by expanding supersymmetric Wilson line operators. In this paper we consider fermionic backgrounds and condensation of supergravity fields in IIB matrix model by using these wave functions. We start from the type IIB matrix model in a flat background whose matrix size is $(N+1) \times (N+1)$, or equivalently the effective action for $(N+1)$ D-instantons. We then calculate an effective action for $N$ D-instantons by integrating out one D-instanton (which we call a mean-field D-instanton) with an appropriate wave function and show that various terms can be induced corresponding to the choice of the wave functions. In particular, a Chern-Simons-like term is induced when the mean-field D-instanton has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a classical solution to the equation of motion for the effective action. We also give an interpretation of the above wave functions from the string theory side as overlaps of the D-instanton boundary state with closed string massless states in the Green-Schwarz formalism. Comment: 32 pages, Latex; discussion clarified. version to appear in Phys. Rev. D

0 Bookmarks
 · 
69 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We extend the fermion representation of single-charge 1/2-BPS operators in the four-dimensional Script N = 4 super Yang-Mills theory to general (multi-charge) 1/2-BPS operators such that all six directions of scalar fields play roles on an equal footing. This enables us to construct a field-theoretic representation for a second-quantized system of spherical D3-branes in the 1/2-BPS sector. The Fock space of D3-branes is characterized by a novel exclusion principle (called `D'exclusion' principle), and also by a nonlocality which is consistent with the spacetime uncertainty relation. The Dexclusion principle is realized by composites of two operators, obeying the usual canonical anticommutation relation and the Cuntz algebra, respectively. The nonlocality appears as a consequence of a superselection rule associated with a symmetry which is related to the scale invariance of the super Yang-Mills theory. The entropy of the so-called superstars, with multiple charges, which have been proposed to be geometries corresponding to the condensation of giant gravitons is discussed from our viewpoint and is argued to be consistent with the Dexclusion principle. Our construction may be regarded as a first step towards a possible new framework of general D-brane field theory.
    Journal of High Energy Physics 12/2005; 12(12):028-028. · 5.62 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: We construct wave functions and vertex operators in the type IIB matrix model by using a supersymmetric Wilson line operator. It is shown that wave functions can be intepreted as overlaps of the D-instanton boundary states with the closed string massless states. We then calculate the one-loop effective action for N D-instantons under the supergravity backgrounds by integrating out one D-instanton with an appropriate wave function.
    Progress of Theoretical Physics Supplement 01/2006; 164:109-117. · 1.25 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We study the zero-dimensional reduced model of D=6 pure super Yang-Mills theory and argue that the large N limit describes the (2,0) Little String Theory. The one-loop effective action shows that the force exerted between two diagonal blocks of matrices behaves as 1/r4, implying a six-dimensional spacetime. We also observe that it is due to nongravitational interactions. We construct wave functions and vertex operators which realize the D=6, (2,0) tensor representation. We also comment on other little analogues of the IIB matrix model and Matrix Theory with less supercharges.
    Physical review D: Particles and fields 01/2006; 74(4).

Full-text

Download
0 Downloads
Available from