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The concept of a "space of quantum field theories" or "theory space" was set out in the 1970's in work of Wilson, Friedan and others.
K. G. Wilson and J. B. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept. 12
1974
Earlier work this paper cites.
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite conformal symmetry in two-dimensional quantum field theory,” Nucl. Phys. B 241
1984
Earlier work this paper cites.
D. H. Friedan, “Nonlinear Models In Two + Epsilon Dimensions,” Annals Phys. 163
1985
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett. 43
1986
Earlier work this paper cites.
P. H. Ginsparg, “Curiosities at c = 1,” Nucl. Phys. B 295
1988
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K. Gawedzki and A. Kupiainen, “Coset Construction from Functional Integrals,” Nucl. Phys. B 320
1989
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D. Kutasov, “Geometry on the space of conformal field theories and contact terms,” Phys. Lett. B 220
1989
Cited alongside, same era.
E. Witten, “Phases of N = 2 theories in two dimensions,” Nucl. Phys. B 403
1993
Cited alongside, same era.
N. Seiberg and E. Witten, “Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory,” Nucl. Phys. B 426
1994
Cited alongside, same era.
M. R. Douglas, “D-branes and matrix theory in curved space,” Nucl. Phys. Proc. Suppl. 68
1998
Cited alongside, same era.
Metric structures for Riemannian and non-Riemannian spaces
2001
Cited alongside, same era.
B. Andrews, “Notes on the isometric embedding problem and the Nash-Moser implicit function theorem,” 2002
2002
C. Bachas, J. de Boer, R. Dijkgraaf and H. Ooguri, “Permeable conformal walls and holography,” JHEP 0206
2002
Later among the works it cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys. B 678
2004
Later among the works it cites.
D. Roggenkamp and K. Wendland, “Limits and degenerations of unitary conformal field theories,” Commun. Math. Phys. 251
2004
Later among the works it cites.
2008
Later among the works it cites.
M. R. Douglas, talk given at the Stony Brook Symposium in Honor of Chen Ning Yang and James H. Simons, March 27–28, 2008
2008
Later among the works it cites.
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Cited alongside, same era.
B. S. Acharya and M. R. Douglas, “A finite landscape?,” arXiv:hep-th/0606212
Cited in the paper.
Paul. S. Aspinwall and M. R. Douglas, work in progress
Cited in the paper.
C. Bachas and M. R. Douglas, work in progress
Cited in the paper.
Cited in the paper.
M. R. Douglas, “Superstring dualities, Dirichlet branes and the small scale structure of space,” arXiv:hep-th/9610041
Cited in the paper.
M. R. Douglas, “Two lectures on D-geometry and noncommutative geometry,” arXiv:hep-th/9901146
Cited in the paper.
2008
Later among the works it cites.