Obstructed D-branes in Landau-Ginzburg orbifolds

S. K. Ashok; E. Dell'Aquila; D. E. Diaconescu; B. Florea

doi:10.4310/atmp.2004.v8.n3.a4

Obstructed D-branes in Landau-Ginzburg orbifolds

S. K. Ashok, E. Dell'Aquila, D. E. Diaconescu, B. Florea

School of Arts and Sciences, Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study deformations of Landau-Ginzburg D-branes corresponding to obstructed rational curves on Calabi-Yau threefolds. We determine D-brane moduli spaces and D-brane superpotentials by evaluating higher products up to homotopy in the Landau-Ginzburg orbifold category. For concreteness we work out the details for lines on a perturbed Fermat quintic. In this case we show that our results reproduce the local analytic structure of the Hilbert scheme of curves on the threefold.

Original language	English (US)
Pages (from-to)	515-563
Number of pages	49
Journal	Advances in Theoretical and Mathematical Physics
Volume	8
Issue number	3
DOIs	https://doi.org/10.4310/atmp.2004.v8.n3.a4
State	Published - Jun 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

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10.4310/atmp.2004.v8.n3.a4

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abstract = "We study deformations of Landau-Ginzburg D-branes corresponding to obstructed rational curves on Calabi-Yau threefolds. We determine D-brane moduli spaces and D-brane superpotentials by evaluating higher products up to homotopy in the Landau-Ginzburg orbifold category. For concreteness we work out the details for lines on a perturbed Fermat quintic. In this case we show that our results reproduce the local analytic structure of the Hilbert scheme of curves on the threefold.",

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AB - We study deformations of Landau-Ginzburg D-branes corresponding to obstructed rational curves on Calabi-Yau threefolds. We determine D-brane moduli spaces and D-brane superpotentials by evaluating higher products up to homotopy in the Landau-Ginzburg orbifold category. For concreteness we work out the details for lines on a perturbed Fermat quintic. In this case we show that our results reproduce the local analytic structure of the Hilbert scheme of curves on the threefold.

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Obstructed D-branes in Landau-Ginzburg orbifolds

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