D-branes and strings as non-commutative solitons

By J. Harvey, Per Kraus, F. Larsen, E. Martinec. 2000

228 citations recorded by the source corpus.

The non-commutative geometry of a large auxiliary B-field simplifies the construction of D-branes as solitons in open string field theory. Similarly, fundamental strings are constructed as localized flux tubes in the string field theory. Tensions are determined exactly using general properties of non-BPS branes, and the non-abelian structure of gauge fields on coincident D-branes is recovered.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/63ef0e46939a04a85447c3af83024d725be1d818

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Citations in the corpus

Half-strings, projectors and multiple D-branes (2001, methodology): “one projection operators, a solution representing ND-branes corresponds to a projection operator of rank N. This situation is analogous to the one that arises in the study of non-commutative solitons [8, 9, 10, 11, 12]. We note in passing that in contrast to the sliver, the “identity” string ﬁeld I,”
Phase structure of non-commutative scalar field theories (2000, background): “ar X iv :h ep -t h/ 00 W e investigate the phase structure ofnon-com m utative scalar eld theoriesand nd evidence forordered phaseswhich break translation invariance.”
Classical solutions in string field theory around the tachyon vacuum (2001, methodology): “is is precisely what happens in the case of p-adic string theory [29, 30, 31], background independent open string ﬁeld theory [32, 33, 34, 35, 36, 37, 38, 39, 40], as well as non-commutative solitons [41, 42, 43].) A procedure for constructing such space(-time) dependent solutions was given in ref.[”
Tachyon potentials, star products and universality (2000, background): “String field theory has provided precise quantitative tests of these conjectures [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”
A Review on Tachyon Condensation in Open String Field Theories (2001, unknown): “86) becomes the Nambu-Goto action in the realm of long wavelength √ α′∂1Fμν ≪ Fμν [105].”
String Field Theory Around the Tachyon Vacuum (2000, methodology): “he world-sheet theory [1, 3, 4, 5, 6, 7, 8], cubic open string ﬁeld theory [9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24], noncommutative limit of the eﬀective ﬁeld theory of the tachyon [25, 26, 27, 28, 29, 30], background independent open string ﬁeld theory [31, 32, 33, 34], as well a”
Introduction to M(atrix) theory and noncommutative geometry (2000, background): “Both the exact solitonic and the approximate ones at θ → ∞ found an application in the description of D-branes as solitons of the tachyon field in the limit of large B-field [54], [55].”
Observables of Non-Commutative Gauge Theories (2000, background): “Perhaps the generalization is simpler in the large B field limit where the string field theory algebra factors out [24, 25].”
Brane-antibrane action from boundary string field theory (2000, methodology): “Now we will use this action in order to investigate the non-commutative soliton in the brane-antibrane system [58, 59, 23].”
A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation (2000, background): “(A connection between the matrix model and this problem was anticipated in [12,32].”
Komaba Lectures on Noncommutative Solitons and D-Branes (2001, methodology): “Second, as pointed out in [38], for special choices of potential there can be soliton solutions which are not of the form (1.”
Exact noncommutative solitons (2000, methodology): “ gauge symmetry. In this section we study actions arising from string ﬁeld theory, and our exact solutions will correspond to D-branes. As discussed in section 4, this generalizes the construction of [8], and shows that the results obtained there are exact for any value of θ. The ﬁrst issue we need ”
Rolling Tachyon (2002, background): “As pointed out in refs.[24, 25, 26, 27, 28, 29, 30, 31], the effective field theory describing the coupling of the tachyon to the Born-Infeld lagrangian admits electric flux tube solutions whose dynamics is identical to that of fundamental strings.”