Wedge states in string field theory
By M. Schnabl. 2002
137 citations recorded by the source corpus.
The wedge states form an important subalgebra in the string field theory. We review and further investigate their various properties. We find in particular a novel expression for the wedge states, which allows to understand their star products purely algebraically. The method allows also for treating the matter and ghost sectors separately. It turns out, that wedge states with different matter and ghost parts violate the associativity of the algebra. We introduce and study also wedge states with insertions of local operators and show how they are useful for obtaining exact results about convergence of level truncation calculations. These results help to clarify the issue of anomalies related to the identity and some exterior derivations in the string field algebra.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e6857ea28115ee0919dab520161a2367581a31b9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Mathematical Physics
In Nuclear and High Energy Physics
Citations in the corpus
- Proof of vanishing cohomology at the tachyon vacuum (2006, background): “The operators Ur and U ⋆ s obey the important relation [29], UrU ⋆ s = U ⋆ 2+ 2 r (s−2) U2+ 2 s (r−2), (2.”
- A simple analytic solution for tachyon condensation (2009, background): “The identity string field is a somewhat unruly object [15, 16], and indeed the solution exhibits surprising convergence properties in the level expansion.”
- Analytic solution for tachyon condensation in open string field theory (2005, background): “Having r < 1 would formally correspond to deleting a part of surface, it is hard to make sense of it in case there are some punctures and it is also ill behaved in level truncation [55].”
- Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory (2006, background): “where the state ψn defined for any real n in the range n ≥ 0 is made of the wedge state [14, 15, 16] with some operator insertions.”
- Analytic solutions for marginal deformations in open string field theory (2007, background): “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].”