scholarly journals Closed string amplitudes from gauge fixed string field theory

2003 ◽  
Vol 67 (12) ◽  
Author(s):  
Nadav Drukker
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Closed String ◽  
String Amplitudes

scholarly journals Type II superstring field theory with cyclic $L_\infty$ structure

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
H Kunimoto ◽  
T Sugimoto
Keyword(s):  
Field Theory ◽  
Hilbert Space ◽  
String Field Theory ◽  
Symplectic Form ◽  
Closed String ◽  
Type Ii ◽  
Gauge Invariant ◽  
Non Local ◽  
String Amplitudes ◽  
Algebraic Formulation

Abstract We construct a complete type II superstring field theory that includes all the NS–NS, R–NS, NS–R, and R–R sectors. As in the open and heterotic superstring cases, the R–NS, NS–R, and R–R string fields are constrained by using the picture-changing operators. In particular, we use a non-local inverse picture-changing operator for the constraint on the R–R string field, which seems to be inevitable due to the compatibility of the extra constraint with the closed string constraints. The natural symplectic form in the restricted Hilbert space gives a non-local kinetic action for the R–R sector, but it correctly provides the propagator expected from the first-quantized formulation. Extending the prescription previously obtained for the heterotic string field theory, we give a construction of general type II superstring products, which realizes a cyclic $L_\infty$ structure, and thus provides a gauge-invariant action based on the homotopy algebraic formulation. Three typical four-string amplitudes derived from the constructed string field theory are demonstrated to agree with those in the first-quantized formulation. We also give the half-Wess–Zumino–Witten action defined in the medium Hilbert space whose left-moving sector is still restricted to the small Hilbert space.

scholarly journals Closed string amplitudes in open string field theory

2003 ◽  
Vol 2003 (08) ◽  
pp. 020-020 ◽  
Author(s):  
Tomohiko Takahashi ◽  
Syoji Zeze
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String ◽  
String Amplitudes

scholarly journals SEMI-FREE FIELD REPRESENTATION AND STRING FIELD THEORY IN 2D GRAVITY

1992 ◽  
Vol 07 (08) ◽  
pp. 677-687 ◽  
Author(s):  
I. YA. AREF’EVA ◽  
A.P. ZUBAREV
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
2D Gravity ◽  
Free Field ◽  
Interesting Property ◽  
Closed String ◽  
Matter Field ◽  
Field Representation ◽  
Interaction Term ◽  
String Amplitudes

String field theory for 2D gravity coupled to a c=1 matter field is described. We use the free field representation and take into account the semi-bounded of the Liouville mode in the last step of calculations. We call such representation semi-free field representation. It is shown that the Witten string field theory gives a tachyon action which up to some, factor in the interaction term coincides with the Das-Jevicki-Polchinski action. Starting from string field theory with semi-free field representation we calculate string amplitudes. These amplitudes instead of energy conservation δ-functions contain energy denominators which residues coincide with the Veneziano (Shapiro-Virasoro) amplitudes for open (closed) string and exhibit very interesting property: the s, t and u poles become the poles in respect to individual external momentum. These poles are related with higher levels excitations living only with fixed momentum.

scholarly journals Open-closed string correspondence in open string field theory

2008 ◽  
Vol 56 (4-5) ◽  
pp. 343-351 ◽  
Author(s):  
M. Baumgartl ◽  
I. Sachs
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String

Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space

2020 ◽  
Vol 18 (01) ◽  
pp. 2150008
Author(s):  
Yanlin Li ◽  
Yushu Zhu ◽  
Qing-You Sun
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Normal Forms ◽  
De Sitter Space ◽  
Closed String ◽  
Condensation Process ◽  
De Sitter ◽  
Unit Speed ◽  
Dual Curve ◽  
Pedal Curve

For the spherical unit speed nonlightlike curve in pseudo-hyperbolic space and de Sitter space [Formula: see text] and a given point P, we can define naturally the pedal curve of [Formula: see text] relative to the pedal point P. When the pseudo-sphere dual curve germs are nonsingular, singularity types of such pedal curves depend only on locations of pedal points. In this paper, we give a complete list of normal forms for singularities and locations of pedal points when the pseudo-sphere dual curve germs are nonsingular. Furthermore, we obtain the extension results in dualities, which has wide influence on the open and closed string field theory and string dynamics in physics, and can be used to better solve the dynamics of trajectory particle condensation process.

DERIVING THE FOUR-STRING AND OPEN-CLOSED STRING INTERACTIONS FROM GEOMETRIC STRING FIELD THEORY

1990 ◽  
Vol 05 (04) ◽  
pp. 659-724 ◽  
Author(s):  
MICHIO KAKU
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Geometric Theory ◽  
Open String ◽  
Bound State ◽  
Closed String ◽  
String Length ◽  
Light Cone Gauge ◽  
New Class ◽  
Coulomb Term

One of the baffling questions concerning the covariant open string field theory is why there are two distinct BRST theories and why the four-string interaction appears in one version but not the other. We solve this mystery by showing that both theories are gauge-fixed versions of a higher gauge theory, called the geometric string field theory, with a new field, a string vierbein [Formula: see text], which allows us to gauge the string length and σ-parametrization. By fixing the gauge, we can derive the “endpoint gauge” (the covariantized light cone gauge), the “midpoint gauge” of Witten, or the “interpolating gauge” with arbitrary string lengths. We show explicitly that the four-string interaction is a gauge artifact of the geometric theory (the counterpart of the four-fermion instantaneous Coulomb term of QED). By choosing the interpolating gauge, we produce a new class of four-string interactions which smoothly interpolate between the endpoint gauge and the midpoint gauge (where it vanishes). Similarly, we can extract the closed string as a bound state of the open string, which appears in the endpoint gauge but vanishes in the midpoint gauge. Thus, the four-string and open-closed string interactions do not have to be added to the action as long as the string vierbein is included.

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