scholarly journals Homotopy operators and identity-based solutions in cubic superstring field theory

2011 ◽  
Vol 2011 (10) ◽  
Author(s):  
Shoko Inatomi ◽  
Isao Kishimoto ◽  
Tomohiko Takahashi
Keyword(s):  
Field Theory ◽  
Identity Based ◽  
Homotopy Operators

ONE-LOOP VACUUM ENERGY AT THE TACHYON VACUUM

2013 ◽  
Vol 21 ◽  
pp. 157-158
Author(s):  
SHOKO INATOMI
Keyword(s):  
Field Theory ◽  
Quantum Theory ◽  
String Field Theory ◽  
Vacuum Energy ◽  
Open String ◽  
Brst Operator ◽  
Identity Based ◽  
Homotopy Operators

We consider one-loop vacuum energy at the tachyon vacuum in cubic bosonic open string field theory. The BRST operator Ql in the theory around an identity-based solution is believed to represent a kinetic operator at the tachyon vacuum. Using homotopy operators for Ql, we find that one-loop vacuum energy at the tachyon vacuum is independent of moduli such as interbrane distances. This result can be interpreted as support for the annihilation of D-branes at the tachyon vacuum even in the quantum theory.

scholarly journals Numerical twist-even SU(1,1)-singlet solutions in open string field theory around the identity-based solution

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Isao Kishimoto ◽  
Tomohiko Takahashi
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Numerical Solutions ◽  
Open String ◽  
Real Parameter ◽  
Conventional Theory ◽  
Real Solutions ◽  
Identity Based ◽  
Low Levels ◽  
Complex Solutions

Abstract Using the level truncation method, we construct numerical solutions, which are twist even and SU(1) singlet, in the theory around the Takahashi-Tanimoto identity-based solution (TT solution) with a real parameter a in the framework of bosonic open string field theory. We find solutions corresponding to “double brane” and “ghost brane” solutions which were constructed by Kudrna and Schnabl in the conventional theory around the perturbative vacuum. Our solutions show somewhat similar a-dependence to tachyon vacuum and single brane solutions, which we found in the earlier works. In this sense, we might be able to expect that they are consistent with the conventional interpretation of a-dependence of the TT solution. We observe that numerical complex solutions at low levels become real ones at higher levels for some region of the parameter a. However, these real solutions do not so improve interpretation for double brane.

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