Tachyon potentials, star products and universality
By L. Rastelli, B. Zwiebach. 2000
275 citations recorded by the source corpus.
We develop an efficient recursive method to evaluate the tachyon potential using the relevant universal subalgebra of the open string star algebra. This method, using off-shell versions of Virasoro Ward identities, avoids explicit computation of conformal transformations of operators and does not require a choice of background. We illustrate the procedure with a pedagogic computation of the level six tachyon potential in an arbitrary gauge, and the evaluation of a few simple star products. We give a background independent construction of the so-called identity of the star algebra, and show how it fits into family of string fields generating a commutative subalgebra.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/63ad179cfd9ff26b68db5442993f3a362122618e
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In Geometry and Topology
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Citations in the corpus
- Half-strings, projectors and multiple D-branes (2001, methodology): “of motion in the matter sector are simply equations for a projector. A closed form expression for a particular projector has already been obtained using a very special string field called the “sliver” [5, 6, 2]. This sliver state represents a classical solution describing a space-filling D25 brane. Cl”
- A paradigm of open/closed duality Liouville D-branes and the Kontsevich model (2003, background): “ an immediate consequence of the fact that QS is the zero-mode of a conserved current. They are easily proved by contour deformations on the 2- and 3-punctured disks that define the vertices (see e.g. [70]). We can now write hV2| = hV2|QS coho +hW2|(Q (1) S +Q (2) S ), (4.13) hV3| = hV3|QS coho +hW3|”
- Analytic solutions for marginal deformations in open string field theory (2007, background): “mann surfaces associated with Ψ(n), with n>2, are very complicated. The new insight that makes the problem tractable is to use, as in [4], the remarkable properties of wedge states with insertions [14, 15, 16]. We find qualitatively different results, according to whether the matter vertex operator”
- Proof of vanishing cohomology at the tachyon vacuum (2006, background): “This state is known as the sliver [22] and as is a projector under star multiplication; |∞〉 ∗ |∞〉 = |∞〉.”
- Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory (2006, background): “The z coordinate given by z = arctan ξ is very useful in dealing with the star product [14, 15, 13].”
- A simple analytic solution for tachyon condensation (2009, background): “5) By extension, any power of the vacuum—that is, a wedge state [15]—can be expressed as Ω = e for t ≥ 0.”
- A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation (2000, background): “More recently, following the work of Sen [8] the phenomenon of tachyon condensation on D-branes was studied by various people including [9-16].”
- Boundary CFT construction of D-branes in vacuum string field theory (2001, methodology): “for all D-branes, and Ψm different for different D-branes. The Ψm representing the D25 brane is a particular surface state of the corresponding boundary conformal field theory (BCFT) known as the sliver [11, 33, 30, 31]. In this paper we discuss the construction of D-brane solutions in this theory usin”
- Split string field theory I (2001, background): “We show that the D-instanton state related to the sliver state found in [9, 10, 8] is a projection”
- Analytic solution for tachyon condensation in open string field theory (2005, methodology): “where Utan is an operator which represents the action of conformal transformation ˜ z → z = tan ˜ and can be explicitly constructed following [58, 54 ], see also [55].”
- Wedge states in string field theory (2002, methodology): “For the star products with ghost insertions c(0)|0〉 ∗ c(0)|0〉 = ( 9 8 )2 U † 3 c ( 1 √ 3 ) c ( − 1 √ 3 ) |0〉, |0〉 ∗ c(0)|0〉 = 9 8 U † 3 c ( − 1 √ 3 ) |0〉, (41) we get the same results as obtained previously in [18].”
- String Field Theory Around the Tachyon Vacuum (2000, background): “on on the D-p-brane represents a D-(p−q)-brane in the same theory. Support for these conjectures comes from the analysis of the 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 fie”
- A Review on Tachyon Condensation in Open String Field Theories (2001, unknown): “In [15], Virasoro and ghost conservation laws including operators of still higher modes as well as the current conservation laws are shown.”
- Classical solutions in string field theory around the tachyon vacuum (2001, methodology): “matter part of the D25- 5 brane solution in the oscillator representation. We also produce numerical evidence that this solution is identical to the matter part of the sliver state constructed in ref.[10]. In section 3 we construct the lump solutions, compute the ratio of tensions of lump solutions ”
- Ghost Structure and Closed Strings in Vacuum String Field Theory (2001, background): “liver or other projectors as classical solutions of VSFT. As an example we shall illustrate how an appropriate singular reparametrization could take any finite |mi wedge state to the sliver. From refs.[21, 7] we know that the wave-functional of a wedge state |mi can be represented as a result of func”