Publications
PREPRINTS
1) S. Carpi, T. Gaudio, R. Hillier. From vertex operator superalgebras to graded-local conformal nets and back. arXiv.
ARTICLES IN JOURNALS
25) S. Carpi, L. Tomassini. Energy bounds for vertex operator algebra extensions. Letters in Mathematical Physics 113 (2023), no. 3, article n. 59. Article (open access). arXiv .
24) S. Carpi, T. Gaudio, L. Giorgetti, R. Hillier. Haploid algebras in C*-tensor categories and the Schellekens list. Communications in Mathematical Physics 402 (2023), no. 1, 169-212. Article (open access). arXiv.
23) S. Carpi, Y. Tanimoto, M. Weiner: Unitary representations of the W_3 - algebra with c \geq 2. Transformation Groups 28 (2023), no. 2, 561-590. Article (open access). arXiv .
22) S. Carpi, Y. Tanimoto, M. Weiner: Local energy bounds and strong locality in chiral CFT. Communications in Mathematical Physics 390 (2022), no. 1, 169-192. Article. Sharedit link (open access). arXIv . Correction. Communications in Mathematical Physics 402 (2023), no. 2, 2129-20130. Correction .Sharedit link (open access).
21) S. Carpi, S. Del Vecchio, S. Iovieno, Y. Tanimoto: Positive energy representations of Sobolev diffeomorphism groups of the circle. Analysis and Mathematical Physics 11 (2021), 12. Article (open access). arXiv.
20) S. Carpi, T. Gaudio, R. Hillier: Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models. Journal of Mathematical Physics 60 (2019) 093505 (Selected as an Editor's Pick). Article. arXiv. PDF (published version)
19) S. Carpi, Y. Kawahigashi, R. Longo, M. Weiner: From vertex operator algebras to conformal nets and back. Memoirs of the American Mathematical Society 254 (2018), no. 1213, vi + 85. Article. arXiv.
18) S. Carpi, R. Hillier: Loop groups and noncommutative geometry. Reviews in Mathematical Physics 29 (2017), no. 9, 1750029 [42 pages]. Article. arXiv.
17) S. Carpi, R. Hillier, Y. Kawahigashi, R. Longo, F. Xu: N=2 superconformal nets. Communications in Mathematical Physics 336 (2015), no. 3, 1285-1328. Article. arXiv.
16) S. Carpi, R. Hillier, R. Longo: Superconformal nets and noncommutative geometry. Journal of Noncommutative Geometry 9 (2015), no. 2, 391-445. Article (open access). arXiv.
15) S. Carpi, Y. Kawahigashi, R. Longo: How to add a boundary condition. Communications in Mathematical Physics 322 (2013), no.1, 149-166. Article. arXiv.
14) S. Carpi, R. Conti, R. Hillier: Conformal nets and KK-theory. Annals of Functional Analysis 4 (2013), no. 1, 11-17. Article (open access). arXiv.
13) S. Carpi, R. Conti, R. Hillier, M. Weiner: Representations of conformal nets, universal C*-algebras and K-theory. Communications in Mathematical Physics 320 (2013), no. 1, 275-300. Article. arXiv.
12) S. Carpi, Y. Kawahigashi, R. Longo: On the Jones index values for conformal subnets. Letters in Mathematical Physics 92 (2010), no. 2, 98-108. Article. arXiv.
11) S. Carpi, R. Hillier, Y. Kawahigashi, R. Longo: Spectral triples and the super-Virasoro algebra. Communications in Mathematical Physics 295 (2010), no. 1, 71-97. Article. arXiv.
10) S. Carpi, Y. Kawahigashi, R. Longo: Structure and classification of superconformal nets. Annales Henri Poincaré 9 (2008), no. 6, 1069-1121. Article. arXiv.
9) S. Carpi: Intersecting Jones projections. International Journal of Mathematics 16 (2005), no. 6, 687-691. Article. arXiv.
8) S. Carpi, M. Weiner: On the uniqueness of diffeomorphism symmetry in conformal field theory. Communications in Mathematical Physics 258 (2005), no. 1, 203-221. Article. arXiv.
7) S. Carpi, R. Conti: Classification of subsystems for graded-local nets with trivial superselection structure. Communications in Mathematical Physics 253 (2005), no. 2, 423-449. Article. arXiv.
6) S. Carpi: On the representation theory of Virasoro nets. Communications in Mathematical Physics 244 (2004), no. 2, 261-284. Article. arXiv.
5) S. Carpi: The Virasoro algebra and sectors with infinite statistical dimension. Annales Henri Poincaré 4 (2003), no. 3, 601-611. Article. arXiv.
4) S. Carpi, R. Conti: Classification of subsystems for local nets with trivial superselection structure. Communications in Mathematical Physics 217 (2001), no. 1, 89-106. Article. arXiv.
3) S. Carpi: Classification of subsystems for the Haag-Kastler nets generated by c=1 chiral current algebras. Letters in Mathematical Physics 47 (1999), no. 4, 353-364. Article. PDF.
2) S. Carpi: Quantum Noether's theorem and conformal field theory: a study of some models. Reviews in Mathematical Physics 11 (1999), no. 5, 519-532. Article. PDF.
1) S. Carpi: Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory. Letters in Mathematical Physics 45 (1998), no. 3, 259-267. Article. PDF.
ARTICLES IN CONFERENCE PROCEEDINGS
6) S. Carpi: Weak quasi-Hopf algebras, VOAs and conformal nets. "Subfactors and applications", organized by D. Bisch, T. Gannon, V. Jones and Y. Kawahigashi. Oberwolfach Reports 16 (2019) Issue 4. European Mathematical Society, 2020, pp. 3083-3086. Report. PDF.
5) S. Carpi: Representations of conformal nets and vertex operator algebra modules. "Recent mathematical developments in quantum field theory", organized by A. Abdesselam, S. Hollands, C. Kopper and G. Lechner. Oberwolfach Reports 13 (2016) Issue 3, European Mathematical Society, 2017, pp. 2080-2082. Report. PDF.
4) S. Carpi: Operator algebras and vertex operator algebras. "The Fourteenth Marcel Grossmann Meeting" (Rome 2015), M. Bianchi, R. Ruffini eds., World Scientific, Singapore, 2017, pp. 3843-3848. Article (open access). arXiv.
3) S. Carpi: From vertex operator algebras to conformal nets and back. "Subfactors and conformal field theory", organized by D. Bisch, T. Gannon, V. Jones and Y. Kawahigashi. Oberwolfach Reports 12 (2015) Issue 2, European Mathematical Society, 2016, pp. 870-872. Report, PDF.
2) S. Carpi, M. Weiner: Uniqueness of the Diff^+(S^1) symmetry for local nets of von Neumann algebras. "Advances in operator algebras and mathematical physics", (Sinaia 2003), F.-P. Boca, O. Bratteli, R. Longo, H. Siedentop eds., Theta, Bucharest, 2005, pp. 43-46. PDF.
1) S. Carpi, R. Conti: Classification of subsystems, local symmetry generators and intrinsic definition of local observables. In Proceedings of the conference "Mathematical physics in mathematics and physics." (Siena 2000), Roberto Longo ed. Fields Institute Communications Vol.30, American Mathematical Society, Providence, RI, 2001, pp. 83-103. Article. PDF.
THESES
2) S. Carpi: Operator algebras, abstract group duality and subsystems in conformal field theory. Tesi di Dottorato in Matematica, Università di Roma "La Sapienza" (1999). Thesis.
1) S. Carpi: Teorema di Noether quantistico e invarianza conforme: studio di un modello. Tesi di Laurea in Fisica, Università di Roma "La Sapienza" (1995).
REVIEWS
1) S. Carpi: Fifty one reviews of mathematical articles published in MathSciNet (Mathematical Reviews on the web) between 2005 and 2016. Reviews.
Last modified 8 February 2024