Although it has been di cult to construct a complete action, including the r sector, for heterotic string eld theory, the equations of motion was already constructed both in the. String field theory sft is a formalism in string theory in which the dynamics of relativistic strings is reformulated in the language of quantum field theory. Previous work has shown that massless tree amplitudes of the type i and iiab superstrings can be dramatically simplified by expressing them as double copies. We show how these couplings can be computed from closed string field theory. Download introduction to string field theory pdf 247p download free online. In chapter 2, we use the duality of twodimensional string theory with matrix models to study arbitrary timedependent backgrounds. It turns out that this problem can be solved by proving the. Published december 2004 published under licence by iop publishing ltd journal of high energy physics, volume 2004, jhep112004. Title construction of action for heterotic string field. A pivotal task in this regard, is the construction of quasirealistic three generation models. Groups and grand unification, talk at planck 2011 pdf, pdf. H10 is the ten dimensional heterotic string h coupling and l10 is the ten dimensional planck length. Field theory methods in twodimensional and heterotic string theories abstract this thesis has three parts.
The full set of lectures notes can be downloaded here and weigh in at around 200 pages. We construct the neveuschwarz sector of heterotic string field theory using the large hilbert space of the superghosts and the multi string products of bosonic closed string field theory. Introduction to quantum field theory were the most di. When the light fields we are interested in are charged under an. We first consider the problem of existence of heterotic string and typeiisuperstring field theory vertices in the product of spaces of bordered surfaces parameterizing left and rightmoving sectors of these theories. There is now a standard reference on relativistic string theory by green, schwarz, and witten, superstring theory 0. In the bosonic version of the theory one of the excitations of the string is a quantum that appears to have imaginary mass. We construct a complete heterotic string field theory that includes both the neveuschwarz and ramond sectors. We also use string field theory to compute second order mass shift of string states. There is now a standard reference on relativistic string theory by green, schwarz, and witten, superstring theory. Periwal heterotic string lightcone field theory by such a compactification 38, the study of.
Dec, 2004 wzwlike action for heterotic string field theory. Free theoretical physics books download ebooks online textbooks. String field theory as worldsheet uv regulator springerlink. This is accomplished at the level of perturbation theory by finding a collection of vertices for joining and splitting strings, as well as string propagators, that give a feynman diagramlike expansion for string scattering amplitudes. Meanwhile, by the mid to late 1990s, in parallel to the heterotic programme outlined above, the discovery of dbranes 55, m theory and g 2 compactification 56,57, ftheory 58,64, adscft 59. Gross et al heterotic string theory freedom the 24 transverse coordinates, x\ of the bosonic string or the 8 transverse coordinates, x\ and their fermionic partners, of the. Current interest in string theories has its origin at the discovery of anomaly cancellation,ll subsequent discovery of the heterotic string theory, 121 and the semirealistic compactification of this theory on calabiyau manifolds pi and orbifolds. H 10 r2, 8 h 12 l10 1r2, 9 where rh is the radius of the s 1. Heterotic string compactification with gauged linear sigma models. Pdf from exceptional field theory to heterotic double field. Quantum field theory is the basic mathematical language that is used to describe.
Topics in twodimensional field theory and heterotic string. Pdf heterotic m atrix theory at generic points in narain. The n 2,2 su p erconformal theory which defines a clas sical vacuum of the heterotic string also defines a classical vacuum of the type ii w,241 superstring. Starting with the necessary background in quantum field theory, the book covers the three key topics of highenergy physics. We first consider the problem of existence of heteroticstring and typeiisuperstring field theory vertices in the product of spaces of bordered surfaces parameterizing left and rightmoving sectors of these theories. Supersymmetric gauge field theory and string theory 1st. Use of string field theory in removing divergences. One can choose among bosonic, supersymmetric, or heterotic strings, and open or closed strings. Superstrings and heterotic strings, string field theory. Heterotic string theory was first developed in 1985 by david gross, jeffrey harvey, emil. The effective quantum field theory of type ii string theory containts besides type ii supergravity the selfdual higher gauge theory of rrfields and kalbramond fields.
Pdf on the existence of heteroticstring and typeii. Citeseerx document details isaac councill, lee giles, pradeep teregowda. In string theory, a heterotic string is a closed string or loop which is a hybrid heterotic of a superstring and a bosonic string. We give a construction of general string products, which realizes a cyclic linfinity structure and thus provides with a gaugeinvariant action in the homotopy algebraic formulation. The first order contributions to the heterotic string effective field theory have an interesting structure. In string field theory interaction of strings is described by means of string products. The ramond sector of heterotic string field theory hiroshi kunitomo yitp, kyoto u. Heterotic and bosonic string amplitudes via field theory. Conformal field theory notes in pdf format polchinski chapter 2 brst quantization notes in pdf format polchinski chapter 4 treelevel amplitudes notes in pdf format polchinski chapter 6 loop amplitudes notes in pdf format polchinski chapters 7, 9 part ii. The structure of this report is very similar to that of the presentation. Understandmatter transitionspurely in field theory, and in f theory and heterotic compacti cations illustrate in 6d but much structure extends to 4d. The most detailed insight that has come out of the study of string field theory is the full understanding of the role of the tachyon field in bosonic perturbative string theory. Localization of effective actions in heterotic string.
The action includes gauge and gravitational chernsimons terms in the twoform field strength, in addition to quadratic terms of the yangmills field strength and of the riemann curvature tensor with torsion. Heterotic string interactions in geometry, anomalies, and. Another motivation behind the construction of the heterotic string was the search for new consistent string theories. In the latter case the effective fourdimensional theory is n 2.
Disregarding nonperturbative effects, the iib orientifold models contain unlifted kahler moduli in the presence of nonzero. The action includes gauge and gravitational chernsimons terms in the twoform field strength, in addition to quadratic terms of the yangmills field strength and of. The construction of the heterotic string is based on the observation. No picturechanging operators are required as in wesszuminowittenlike open superstring field theory. We consider two problems associated to the space of riemann surfaces that are closely related to string theory. Topics in twodimensional field theory and heterotic string theory abstract we study a myriad of topics related to string theories in two dimensions andor to heterotic string theories. Heterotic string theory and g2 structure manifolds magdalena larfors uppsala university special holonomy. The zero mass sector of these theories for d 4 and 6 correspond to n 4 and 2 supergravity coupled to super yangmills with many possible groups, some of which cannot be obtained by compactifying d 10 heterotic string theory.
Free theoretical physics books download ebooks online. The anomaly cancellation mechanism of green and schwarz can be understood in terms of the lowenergy field theory that emerges from the superstring, which is. Localization of effective actions in heterotic string field. On effective field theories describing 2,2 vacua of the. Such models can in turn be used to explore the properties of string theory and quantum gravity. Harvey, emil martinec, and ryan rohm joseph henry laboratories, princeton university, princeton, new jersey 08544 received 21 november 1984 a new type of superstring theory is constructed as a chiral combination of the closed d 26 bosonic and d 10 fermionic strings. In heterotic string theory that scft is assumed to be the sum of a. Some similar question in the simpler context of field theory. Heterotic string theory was first developed in 1985 by david gross, jeffrey harvey, emil martinec, and ryan rohm the socalled princeton string quartet. String field theory sft is a formalism in string theory in which the dynamics of relativistic. Localization of effective actions in heterotic string field theory. Pierre ramond addisonwesley 1990, fields by warren siegel. The action includes gauge and gravitational chernsimons terms in the twoform. Symmetries revisited and canonical quantization 45.
Wzwlike action for heterotic string field theory iopscience. Introduction to string field theory inspire inspire hep. Pdf tendimensional heterotic strings from niemeier lattices. Heterotic string on manifolds with reduced structure group su3 and g2 manifolds. A modern primer frontiers in physics series, vol 74 9780204503. Heterotic string conformal field theory and ade singularities.
Heterotic string conformal field theory and a d e singularities. Field theory methods in twodimensional and heterotic string. Quasirealistic perturbative heterotic string models have been constructed 4,6,7,8,9,10,11 by using free fermionic 12 and orbifold techniques. Field theory methods in twodimensional and heterotic. The heterotic string theory is a theory of closed strings, in which the compactification of sixteen internal dimensions produces the gauge group so32 or e x e. Jun 22, 2011 we extend the recently constructed double field theory formulation of the lowenergy theory of the closed bosonic string to the heterotic string. These lecture notes provide a detailed introduction to the bosonic string and conformal field theory, aimed at part iii i. Topics in twodimensional field theory and heterotic. String field theory is a formalism in string theory in which the dynamics of relativistic strings is reformulated in the language of quantum field theory. R2, which corresponds to the heterotic string on s 1 with parameters 12 rh r1 r2, 7 32. In addition one has a choice between a gauge invariant or a.
The theory is supersymmetric, lorentz invariant, and free of. An effective target space quantum field theory induced from a given heterotic 2d cft sigma. Moduli of heterotic backgrounds and their effective theories. Through a map of the string fields, we also give the wesszuminowittenlike action in the large. Introduction to string field theory pdf 247p download book.
The purpose of this paper is to fill in some of these missing pieces by constructing a complete gaugeinvariant action for the heterotic string field theory in both the homotopy algebraic and the wzwlike formulations. E ects of neutron star superconductivity on magnetic monopoles and core field decay with m. In heterotic string theory the cfts in question are 0, 1 0,1supersymmetric and defined on oriented worldsheets. We consider the algebraic couplings in the tree level effective action of the heterotic string. Designed as a sequel to the authors introduction to gauge field theory, supersymmetric gauge field theory and string theory introduces firstyear graduate students to supersymmetric theories, including supergravity and superstring theories.
On the construction of classical superstring field theories. Iia conformal field theory, and likewise the hypermultiplet moduli space can be deter mined, in principle, from heterotic string conformal field theory. Jan 01, 1987 in fact, since one can understand some aspects of the heterotic string as following from the compactification of the leftmovers of bosonic closed strings on a torus and view the two heterotic string theories as being related 42 d. A bstractin this paper we show how to obtain heterotic double field theory from exceptional field theory by breaking half of the supersymmetry. The 1988 book, now free, with corrections and bookmarks for pdf. New heterotic string theories in uncompactified dimensions. Heterotic string lightcone field theory sciencedirect. Heterotic string compactification with gauged linear sigma. Pdf exophobic quasirealistic heterotic string vacua. Heterotic string conformal field theory and adesingularities edward witten california institute of technology, pasadena ca 91125 usa and citusc center for theoretical physics we analyze the behavior of the heterotic string near an ade singularity without small instantons. Jan 01, 1989 in this lightcone gauge the theory reduces to a twodimensional free field theory of the physical degrees of thus the name heterotic. We focus on the sl5 exceptional field theory and show that when the extended space contains a generalised su2structure manifold one can define a reduction to obtain the heterotic so3, n double field theory.
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