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Construction of action for heterotic string field theory including the Ramond sector

Extending the formulation for open superstring field theory given in arXiv:​1508.​00366, we attempt to construct a complete action for heterotic string field theory. The action is non-polynomial in the Ramond string field Ψ, and we construct it order by order in Ψ. Using a dual formulation in which the role of η and Q is exchanged, the action is explicitly obtained at the quadratic ...

Symmetries and Feynman rules for the Ramond sector in heterotic string field theory

Examining the symmetries of the pseudo-action, we propose a prescription for the new Feynman rules for the Ramond sector of the WZW-like heterotic string field theory. The new rules are an analog of those recently proposed for the open superstring field theory and respect all the gauge symmetries, including when we impose the constraint after transformation. It is shown that the ...

Complete action for open superstring field theory

We construct a complete action for open superstring field theory that includes the Neveu–Schwarz sector and the Ramond sector. For the Neveu–Schwarz sector, we use the string field in the large Hilbert space of the superconformal ghost sector, and the action in the Neveu–Schwarz sector is the same as the Wess–Zumino–Witten-like action of the Berkovits formulation. For the Ramond ...

Symmetries and Feynman rules for the Ramond sector in open superstring field theory

We examine the symmetries of the action supplemented by the constraint in the WZW-type open superstring field theory. It is found that this pseudo-action has additional symmetries provided we impose the constraint after the transformation. Respecting these additional symmetries, we propose a prescription for the new Feynman rules for the Ramond sector. It is shown that the new ...

First-order equations of motion for heterotic string field theory

Hiroshi Kunitomo 0 0 Yukawa Institute for Theoretical Physics, Kyoto University , Kyoto 606-8502, Japan

Double-Spinor Superstrings on Coset Superspaces

Hiroshi Kunitomo 0 0 Yukawa Institute for Theoretical Physics, Kyoto University , Kyoto 606-8502, Japan The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure

Gauge Fixing of Modified Cubic Open Superstring Field Theory

The gauge-fixing problem in the modified cubic open superstring field theory is discussed in detail for both the Ramond and Neveu-Schwarz (NS) sectors in the Batalin-Vilkovisky (BV) framework. We prove for the first time that the same form of action as the classical gauge-invariant one with the ghost-number constraint on the string field relaxed, gives the master action satisfying ...

Supersymmetric AdS3 Solutions in Heterotic Supergravity

We analyze the AdS3 × M7-type supersymmetric solutions, including nontrivial fluxes, of Killing spinor equations in heterotic supergravity. We classify these solutions using their G-structures and intrinsic torsions, for the cases that the number of seven-dimensional Killing spinors N are equal to 1,2,3 and 4. We find that the solutions cannot have a nontrivial warp factor and the ...

One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices

Hiroshi Kunitomo 0 0 Yukawa Institute for Theoretical Physics, Kyoto University , Kyoto 606-8502, Japan The Cachazo-Svrcek-Witten (CSW) rule for efficiently calculating gauge theory amplitudes is

Lorentz Anomaly in Semi-Light-Cone Gauge Superstrings

We study the Lorentz invariance of D = 4 and 6 superstrings in the double-spinor formalism, which are equivalent to the D = 4 and 6 superstrings in the pure-spinor formalism in the sense of the BRST cohomology. We first re-examine how the conformal and Lorentz anomalies appear in the D = 4 and 6 Green-Schwarz superstrings in the semi-light-cone gauge in the framework of BRST ...

Hybrid Superstring on AdS3 and Space-Time Superconformal Symmetry

Using a hybrid formalism, superstrings on AdS3 × S1 are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the corresponding ones in the RNS formalism. The physical states are defined with the BRST cohomology as an N = 4 topological string theory. The physical ...

Lower-Dimensional Superstrings in the Double-Spinor Formalism

We study lower-dimensional superstrings in the double-spinor formalism introduced by Aisaka and Kazama. These superstrings can be consistently quantized and are equivalent to the lower-dimensional pure-spinor superstrings proposed by Grassi and Wyllard. The unexpected physical spectrum of the pure-spinor superstrings may thus be regarded as a manifestation of noncriticality. We ...

Hybrid Superstrings in NS-NS Plane Waves

Using the hybrid formalism, superstrings in four-dimensional NS-NS plane waves are studied in a manifest supersymmetric manner. This description of the superstring is obtained through a field redefinition of the RNS worldsheet fields and defined as a topological N=4 string theory. The Hilbert space consists of two types of representations describing short and long strings. We study ...

Topological SL(3, R) Gravity and the Quantum W3 Symmetry

Topological SL(3, R) gauge theory, which has been proposed as topological W3 gravity, is quantized by means of the conventional BRST method. The qunatized action becomes a free conformal field theory and has an extended conformal symmetry containing a spin-3 current. It is shown this extended conformal symmetry satisfies a closed but non-linear algebra at the quantum level, and the ...

Correlation between Momentum Modes and Winding Modes in Brandenberger-Vafa's String Cosmological Model

Brandenberger and Vafa have proposed the string cosmological model based on T-duality. In this model, they took the toroidal target space and introduced the new position conjugate to the winding mode, in addition to the position x conjugate to the momentum mode. In this way they can describe a universe larger than the string scale with the coordinate x and one smaller with the ...

Covariant String Field Theory on Z2-Orbifold

A gauge invariant action is constructed for the closed string compactified on a Z2-orbifold. Two 3-string vertices which describe two types of interaction, i.e., with and without twisted strings are obtained by the Neumann function method. The O(g2) gauge invariance of the action requires to modify the 3-string vertices by multiplying cocycle factors. A physical interpretation of ...

A Hierarchy of Super w Strings

Hiroshi KUNITOMO 0 Makoto SAKAGUCHI 0 Akira TOKURA 0 0 Department of Physics, Osaka University , Toyonaka 560 It is shown that the N-extended super Wn string can be obtained as a special class of

BRS Invariance of String Vertex on General Ghost Vacuum

It is shown that the BRS invariant vertex, on whatever ghost vacuum it is constructed, is unique if the form of connection conditions is specified. It is characterized as a Bogoliubov transformed “vacuum” of the oscillator modes at the interaction point. An improved method for its BRS invariance proof is also presented by which the necessity of the correct intercept parameter ...

Supersymmetric Non-Linear Lagrangians of Kählerian Coset Spaces G/H: G=E6, E7 and E8

A simple and general procedure is given for constructing supersymmentric nonlinear σ model Lagrangian explicitly for any Kählerian coset space G/H. In particular, we derive explicit and full expressions of supersymmetric Lagrangians for the phenomenologically important manifolds G/H=E7/SU(5)×SU(3)×SU(1) and E8 /SO(10)×SU(3)×U(1), which are known to contain three generations of ...

BRS Invariant Vertex of Neveu-Schwarz-Ramond Superstring

A 3-string vertex of open Neveu-Schwarz (NS) and Ramond (R) superstrings is constructed explicity in terms of oscillator language for the joining and splitting type interaction. Both for the 3-NS and NS-R-R cases, it is shown to satisfy theBRS invariance if the space-time dimension is 10. A bit peculiar connection conditions of the “fermionic” coordinates as well as their Neumann ...