How noncommutative gauge theories couple to gravity

We observe a relation between closed strings tachyons and oneloop instabilities in non-supersymmetric non-commutative gauge theories. In particular we analyze the spectra of type IIB string theory on C 3 /Z N orbifold singularities and the non-commutative field theory that lives on D3 branes located at the singularity. We find a surprising correspondence between the existence or not of one-loop low-momentum instabilities in the non-commutative field theory and the existence or not of tachyons in the closed string twisted sectors. Moreover, the relevant piece of the non-commutative field theory effective action is suggestive of an exchange of closed string modes. This suggests that non-commutative field theories retain some information about the dynamics of the underlying string configuration. Finally, we also comment on a possible relation between closed string tachyon condensation and field theory tachyon condensation.

Section: String Interpretationmentioning

confidence: 99%

Closed strings tachyons and non-commutative instabilities

Armoni

López

Uranga

2003

“…We assume [x µ ,x ν ] = iθ µν and the rank of θ is D. For small external momenta, we can evaluate the above as The structure of the Wilson line operators has been also investigated in superstring theory [17]. We can evaluate the one point functions of the vertex operators for the supergravity multiplet with gauge fields at the boundary of the disk.…”

Section: Wilson Lines In Matrix Models and String Theorymentioning

confidence: 99%

Vertex operators in IIB matrix model

Kitazawa

2002

The vertex operators for the supergravity multiplet can be constructed through the Wilson lines in IIB matrix model. We investigate the structure of the vertex operators and the symmetry of their correlation functions. For this purpose, we perturb the theory by the Wilson lines dual to the supergravity multiplet. The structure of the Wilson lines can be determined by requiring N =2 SUSY under the low energy approximation. We argue that the generating functional of the correlators is invariant under local SUSY transformations of IIB

“…Until section 7 where we consider a correction to the ordering, we shall use the symmetrized trace. The symmetrized ordering was confirmed also in some cases of string scattering amplitudes [14]. It is interesting to note that in the pp-wave/Super Yang-Mills correspondence [16] exactly the same kind of formulas appear with the symmetrized trace (see [17] for this aspect of the symmetrized trace).…”

Section: Charge Density Formulas and Fuzzy Plane 21 Formulasmentioning

confidence: 58%

“…Here we review the supergravity charge density formulas derived in Matrix theory [3] (see also [12,5,13,14]). Let us consider a matrix configuration X i (i = 1, 2, · · · , 9) which is the vacuum expectation value of the scalar fields coming from the excitation of the string connecting the D0-branes.…”

Section: Charge Density Formulas and Fuzzy Plane 21 Formulasmentioning

confidence: 99%

See 1 more Smart Citation

The shape of nonabelian D-branes

Hashimoto¹

2004

Abstract:We evaluate bulk distribution of energies, pressures and various Dbrane/F-string charges generated by nontrivial matrix configurations in nonabelian D-brane effective field theories, using supergravity source density formulas derived originally in Matrix theory. Off-diagonal elements of worldvolume nonabelian fields, especially transverse scalar fields, induce various interesting bulk structures exhibiting the shape of branes. First, we study the energy distribution of string-brane networks generated in the bulk by the Yang-Mills monopoles and the 1/4 BPS dyons, and confirm force balance of them. An application to the Yang-Mills description of recombination of intersecting D-branes gives results indicating presence of the tachyon matter. Second, we analyse the shape of fuzzy D-branes given by nonabelian scalar fields which are mutually noncommutative. We employ fuzzy S 2 , fuzzy S 4 and fuzzy cylinder/supertube as matrix configurations of N D0-branes representing higher dimensional noncommutative D-branes. We find that in the continuum (large N) limit the D-brane charge distributions become in the expected shape of a sphere or a cylinder with an infinitesimal thickness. However, the distributions found for finite N are difficult to interpret, which leaves a puzzle for a possible dual description in terms of higher dimensional D-branes. A resolution is provided with use of an ordering ambiguity in the charge density formulas.