Topological defects in string theory orbifolds with target spaces ℂ/ℤ_N and S¹/ℤ₂

2017/06/18 by Yaniel Cabrera, Cabrera, Yaniel
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1706.05741

openalex publication_date 2017/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study conformal defects in two important examples of string theory orbifolds. First, we show that topological defects in the language of Landau-Ginzburg models carry information about the RG flow between the non-compact orbifolds ℂ/ℤ_d. Such defects are shown to correctly implement the bulk-induced RG flow on the boundary. Secondly, we study what the possible conformal defects are between the c=1 bosonic 2D conformal field theories with target space S¹/ℤ₂. The defects cataloged here are obtained from boundary states corresponding to D-branes in the c=2 free theory with target space S¹/ℤ₂ × S¹/ℤ₂. Via the unfolding procedure, such boundary states are later mapped to defects between the circle orbifolds. Furthermore, we compute the algebra of the topological class of defects at different radii.

Citations

• Boundary RG Flows of N=2 Minimal Models
• D-Branes And Mirror Symmetry

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