String Field Theory Around the Tachyon Vacuum
By L. Rastelli, Ashoke Sen, B. Zwiebach. 2000
216 citations recorded by the source corpus.
Assuming that around the tachyon vacuum the kinetic term of cubic open string field theory is made purely of ghost operators we are led to gauge invariant actions which manifestly implement the absence of open string dynamics around this vacuum. We test this proposal by showing the existence of lump solutions of arbitrary codimension in this string field theory. The key ingredients in this analysis are certain assumptions about the analyticity properties of tachyon Green’s functions. With the help of some further assumptions about the properties of these Green’s functions, we also calculate the ratios of tensions of lump solutions of different dimensions. The result is in perfect agreement with the known answers for the ratios of tensions of D-branes of different dimensions.
Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/032651fa3f9699c4e180a8c85c3318a588dc8a74
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Citations in the corpus
- Analytic solution for tachyon condensation in open string field theory (2005, methodology): “For the limiting value r → ∞, one finds a projector, the so-called sliver state, which has attracted much attention in the literature, especially in the context of the vacuum string field theory [4].”
- Ghost Structure and Closed Strings in Vacuum String Field Theory (2001, methodology): “A class of kinetic operators Q satisfying the required constraints for gauge invariance was constructed in [ 4 ].”
- Wedge states in string field theory (2002, background): “The basic assumption of VSFT is that after suitable reparametrization of the string field, the kinetic operator can be expressed entirely using the ghost oscillators.”
- Boundary CFT construction of D-branes in vacuum string field theory (2001, methodology): “series of three papers [ 29 , 30, 31] we attempted an analytic approach to the issues of tachyon condensation by proposing a candidate string field theory action which describes string field theory expanded around the tachyon vacuum.”
- Proof of vanishing cohomology at the tachyon vacuum (2006, result): “Since VSFT is thought to be a singular limit of ordinary OSFT, in which the BRST operator becomes a c-ghost operator inserted at the midpoint [37], it would be interesting to see whether  becomes a simple operator formed out of just the b-ghost in this limit.”
- Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory (2006, background): “Another example is the twisted butterfly state [19, 20, 21] in vacuum string field theory [22, 23, 24].”
- Closed strings as imaginary D-branes (2003, methodology): “This analysis [23] was performed in the framework of a regulated version of vacuum string field theory [24].”
- A Review on Tachyon Condensation in Open String Field Theories (2001, unknown): “Moreover, it has also been conjectured that, instead of spatially homogeneous tachyon condensation, solitonic lump configurations where the tachyon field asymptotically approaches the vacuum value represent lower dimensional D-branes [1, 2].”