A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation

By N. Seiberg. 2000

165 citations recorded by the source corpus.

Using the construction of D-branes with nonzero $B$ field in the matrix model we give a physical interpretation of the known background independence in gauge theories on a noncommutative space. The background independent variables are identified as the degrees of freedom of the underlying matrix model. This clarifies and extends some recent results about the end point of tachyon condensation in D-branes with a $B$ field. We also explain the freedom in the description which is parametrized by a two form $\Phi$ from the points of view of the noncommutative geometry on the worldvolume of the branes, and of the first quantized string theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d907d36d3c0ae436317930ba643aad9b9d1f3f01

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Citations in the corpus

Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces (2003, background): “The significance of the points B = ± θ−1 has been previously noted within different field theoretic contexts in [30]–[33] and within the context of noncommutative quantum mechanics in [15, 16, 21].”
Komaba Lectures on Noncommutative Solitons and D-Branes (2001, background): “For further details of the role played by Φμν see [68].”
Exact noncommutative solitons (2000, unknown): “ar X iv :h ep -t h/ 00 10 06 0v 3 1 J an 2 00 1 hep-th/0010060 EFI-00-38 Exact Noncommutative Solitons Jeffrey A. Harvey, Per Kraus, and Finn Larsen Enrico Fermi Institute and Department of Physics University of Chicago,”
String Field Theory Around the Tachyon Vacuum (2000, background): “hyon vacuum is expected to possess many novel properties. In particular many of the symmetries which are spontaneously broken in the background of a D-brane are expected to be restored in this vacuum [52, 53, 54]. It will be interesting to analyse our proposal to check these properties. Another impo”
Noncommutative field theory (2001, background): “1, this is what one gets if one defines the derivatives as inner derivations, so this is what emerges naturally from matrix model arguments (Seiberg, 2000).”
Trieste lectures on solitons in noncommutative gauge theories (2000, unknown): “diately derive the following three equations: (B† 2 −z¯2)ν¯n = 0 (B† 1 −z¯1)ν¯n = 0 (80) I†ν n¯ = 0 Using (74) we can also represent ∆xin the form: ∆ = (B † 1 −¯z1)(B1 −z1) +(B † 2 −z¯2)(B2 −z2)+J J. (81) From this representation another triple of equations follows: (B2 −z2)ν¯n = 0 (B1 −z1)ν¯n = 0 (”
NonAbelian noncommutative gauge theory via noncommutative extra dimensions (2001, background): “In the “background independent” gauge θ = B −1 , � = −B [ 32 ] the action (125)”
Unstable solitons in noncommutative gauge theory (2000, background): “19) Fluctuations about this soliton describe a noncommutative gauge theory [24-31,32].”
BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field (2000, methodology): “To explain the situation starting from matrix theory (as in [17-25]), we describe the D6-brane with a B-field via matrices X , i = 1, .”
A Review on Tachyon Condensation in Open String Field Theories (2001, unknown): “58), and further define the new ‘background independent’ variables X as [110] X = θCν = x μ + θAν .”