Some exact results on the matter star-product in the half-string formalism

Moeller, Nicolas

doi:10.1088/1126-6708/2002/01/019

Cited by 23 publications

(26 citation statements)

References 22 publications

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“…The geometrical picture we have found of the sliver singularities ties in neatly with previous calculations [4,6,15] which have shown that the sliver states factorize into a product of gaussians of the left-and right-string oscillators r 2k+1 , l 2k+1 of the form…”

Section: Jhep01(2002)004supporting

confidence: 82%

“…Recently, certain solutions of the matter string field equations, known as sliver states [2,3,4], have received much attention [5]- [15]. In this paper we make some simple observations regarding the structure of these sliver states.…”

Section: Introductionmentioning

confidence: 95%

“…The details of this relationship were worked out by Moeller in [15]. It follows immediately from the overlap equations for U that…”

Section: Jhep01(2002)004mentioning

confidence: 99%

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The singular geometry of the sliver

Moore

Taylor²

2002

J. High Energy Phys.

134

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The singular geometry of the sliver Gregory MooreDepartment of Physics, Rutgers University Piscataway, NJ 08855, USA E-mail: gmoore@physics.rutgers.edu Washington TaylorCenter for Theoretical Physics MIT, Bldg. 6-306, Cambridge MA 02139, USA E-mail: wati@mit.edu Abstract: We consider "sliver" states which act as projection operators in the matter star product of Witten's cubic string field theory. These sliver states, which might be associated with Dp-branes, are not finite norm states in the matter string Hilbert space. We describe the singularities of these states, and demonstrate that the sliver states are composed of strings having singular geometric features. These singularities take a particularly simple form in the zero slope limit α → 0, where the star algebra factorizes into a product of the algebra of functions on space-time and the non-commutative star product of fields associated with higher string modes. An analogy to the sliver geometry suggests a natural mechanism for describing closed string states in open string field theory.

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Section: Jhep01(2002)004supporting

confidence: 82%

Section: Introductionmentioning

confidence: 95%

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The singular geometry of the sliver

Moore

Taylor²

2002

J. High Energy Phys.

134

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“…A proposal for such vacuum string field theory (VSFT) was made in [4], and investigated in [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20].…”

Section: Introductionmentioning

confidence: 99%

Ghost structure and closed strings in vacuum string field theory

Gaiotto¹,

Rastelli²,

Sen³

et al. 2002

Advances in Theoretical and Mathematical Physics

169

386

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We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level expansion studies in the Siegel gauge, e-print archive: http://lanl.arXiv.org/abs/hep-th/0111129 404 GHOST STRUCTURE AND CLOSED STRINGS allows a simple analytic treatment of the ghost sector of the string field equations. As a result, solutions are just projectors, such as the sliver, of an auxiliary CFT built by combining the matter part with a twisted version of the ghost conformal theory. Level expansion experiments lead to surprising new projectors -butterfly surface states, whose analytical expressions are obtained. With the help of a suitable open-closed string vertex we define open-string gauge invariant operators parametrized by on-shell closed string states. We use regulated vacuum string field theory to sketch how pure closed string amplitudes on surfaces without boundaries arise as correlators of such gauge invariant operators.

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“…Using these two descriptions the sliver states and their generalizations are studied in [163,168,169,171,172]. In these lectures (Section 4) we will discuss the half-string formalism with main focus on the operator description of the matter sector.…”

Section: String Field Theorymentioning

confidence: 99%

Noncommutative Field Theories and (Super)string Field Theories

Aref’eva

Belov

Giryavets

et al. 2002

Particles and Fields

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In this lecture notes we explain and discuss some ideas concerning noncommutative geometry in general, as well as noncommutative field theories and string field theories. We consider noncommutative quantum field theories emphasizing an issue of their renormalizability and the UV/IR mixing. Sen's conjectures on open string tachyon condensation and their application to the D-brane physics have led to wide investigations of the covariant string field theory proposed by Witten about 15 years ago. We review main ingredients of cubic (super)string field theories using various formulations: functional, operator, conformal and the half string formalisms. The main technical tools that are used to study conjectured D-brane decay into closed string vacuum through the tachyon condensation are presented. We describe also methods which are used to study the cubic open string field theory around the tachyon vacuum: construction of the sliver state, "comma" and matrix representations of vertices.

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Some exact results on the matter star-product in the half-string formalism

Cited by 23 publications

References 22 publications

The singular geometry of the sliver

The singular geometry of the sliver

Ghost structure and closed strings in vacuum string field theory

Noncommutative Field Theories and (Super)string Field Theories

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