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1
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0034339094
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Topics in D-geometry
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hep-th/9910170
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M. R. Douglas, "Topics in D-geometry," Class. Quantum Grav. 17, 1057 (2000); hep-th/9910170.
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Douglas, M.R.1
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13
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0007325699
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note
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After the completion of this work, the interesting work in Ref. 55 appeared, which discusses branes on tori in terms of the derived category.
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14
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85028160130
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D-branes and K-theory
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hep-th/9810188
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E. Witten, "D-branes and K-theory," J. High Energy Phys. 9812, 019 (1998); hep-th/9810188.
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J. High Energy Phys.
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Witten, E.1
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16
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0031582589
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Small volumes in compactified string theory
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hep-th/9612181
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B. R. Greene and Y. Kanter, "Small volumes in compactified string theory," Nucl. Phys. B 497, 127 (1997); hep-th/9612181.
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Nucl. Phys. B
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Greene, B.R.1
Kanter, Y.2
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17
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85037242940
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Open string instantons and superpotentials
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hep-th/9912151
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S. Kachru, S. Katz, A. Lawrence, and J. McGreevy, "Open string instantons and superpotentials," Phys. Rev. D 62, 026001 (2000); hep-th/9912151; "Mirror symmetry for open strings," hep-th/0006047.
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Phys. Rev. D
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Kachru, S.1
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McGreevy, J.4
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18
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85037242940
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hep-th/0006047
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S. Kachru, S. Katz, A. Lawrence, and J. McGreevy, "Open string instantons and superpotentials," Phys. Rev. D 62, 026001 (2000); hep-th/9912151; "Mirror symmetry for open strings," hep-th/0006047.
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Mirror Symmetry for Open Strings
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20
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16144366365
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D-branes on Calabi-Yau spaces and their mirrors
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hep-th/9606112
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H. Ooguri, Y. Oz, and Z. Yin, "D-branes on Calabi-Yau spaces and their mirrors," Nucl. Phys. B 477, 407 (1996); hep-th/9606112.
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Ooguri, H.1
Oz, Y.2
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22
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0041047484
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D-brane field theory on compact spaces
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hep-th/9611042
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W. Taylor IV, "D-brane field theory on compact spaces," Phys. Lett. B 394, 283 (1997); hep-th/9611042.
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Phys. Lett. B
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Taylor W. IV1
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23
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0009191735
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Space-time supersymmetry in compactified string theory and superconformal models
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D. Gepner, "Space-time supersymmetry in compactified string theory and superconformal models," Nucl. Phys. B 296, 757 (1988).
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Nucl. Phys. B
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Gepner, D.1
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24
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0000832445
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D-branes in Gepner models
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hep-th/9712186
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A. Recknagel and V. Schomerus, "D-branes in Gepner models," Nucl. Phys. B 531, 185 (1998); hep-th/9712186.
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Nucl. Phys. B
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Recknagel, A.1
Schomerus, V.2
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27
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0007269243
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note
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One could also use partly Dirichlet boundary conditions associated to holomorphic submanifolds, but we will instead get these at a later stage.
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28
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0030580753
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Small instantons in string theory
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hep-th/9511030
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E. Witten, "Small instantons in string theory," Nucl. Phys. B 460, 541 (1996); hep-th/9511030.
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Witten, E.1
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29
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0001283961
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On the algebras of BPS states
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hep-th/9609017
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J. Harvey and G. Moore, "On the algebras of BPS states," Commun. Math. Phys. 197, 489 (1998); hep-th/9609017.
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Commun. Math. Phys.
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Harvey, J.1
Moore, G.2
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30
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0007343454
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unpublished
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G. Segal, unpublished.
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Segal, G.1
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34
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0007279816
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note
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n+1), and this is all we will need below. The apparent generalization will go away in the final result.
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35
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0007268320
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note
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One can make a similiar refinement by making the equivalence [A] + [C]≅[B] only when there exists an exact sequence 0→A→B→C→0. This leads to analytic K theory, which will distinguish different points in M, for example. However, this does not give the morphism or grading structure of the derived category, which will also be important physically.
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38
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0030602114
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Branes intersecting at angles
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hep-th/9606139
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M. Berkooz, R. Leigh, and M. R. Douglas, "Branes intersecting at angles," Nucl. Phys. B 480, 265 (1996); hep-th/9606139.
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Berkooz, M.1
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Douglas, M.R.3
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39
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0000246814
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Kaehler cone substructure
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hep-th/9810064
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E. Sharpe, "Kaehler cone substructure," Adv. Theor. Math. Phys. 2, 1441 (1999); hep-th/9810064.
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Sharpe, E.1
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42
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0007194146
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note
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I am indebted to Richard Thomas and Paul Seidel for explaining this to me.
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49
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0030600821
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D-branes and topological field theories
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hep-th/9511222
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M. Bershadsky, V. Sadov, and C. Vafa, "D-branes and topological field theories," Nucl. Phys. B 463, 420 (1996); hep-th/9511222.
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Nucl. Phys. B
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Bershadsky, M.1
Sadov, V.2
Vafa, C.3
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50
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6944237580
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BPS states and algebras from quivers
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hep-th/0006189
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B. Fiol and M. Marino, "BPS states and algebras from quivers," J. High Energy Phys. 0007, 031 (2000); hep-th/0006189.
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J. High Energy Phys.
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Fiol, B.1
Marino, M.2
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51
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0007207118
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note
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f both as an object in the derived category and as a physical object.
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53
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6944253859
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Supergravity flows and D-brane stability
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hep-th/0005049
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F. Denef, "Supergravity flows and D-brane stability," J. High Energy Phys. 0008, 050 (2000); hep-th/0005049.
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J. High Energy Phys.
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Denef, F.1
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