Open-Closed String Field Theory in the Background B-Field

Abstract

In this paper, we study open-closed string field theory in the background B-field in the so-called alpha=p^{+} formulation. The string field theory in the infrared gives noncommutative gauge theory in the open string sector. Since this theory includes closed string fields as dynamical variables, we can obtain another string field theory in the same background through the condensation of closed string fields, whose low-energy effective action does not show the noncommutativity of spacetime. Although we have two string field theories in the same background, we show that these theories are equivalent. In fact, we give the unitary transformation from string fields in one of them to string fields in the other.

25 pages, lanlmac, minor corrections

Cited by in corpus (10)

• Comments on noncommutative gravity
• Wilson Lines and Classical Solutions in Cubic Open String Field Theory
• Noncommutative Tachyon from Background Independent Open String Field Theory
• Toward Open-Closed String Theoretical Description of Rolling Tachyon
• Star Spectroscopy in the Constant B field Background
• Cardy states, factorization and idempotency in closed string field theory
• Boundary States in B-Field Background
• Tachyon Vacuum Solution in Open String Field Theory with Constant B Field
• Twist Quantization of String and B Field Background
• Non-commutative Space And Chan-Paton Algebra In Open String Field Algebra