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My research is on gravity and quantum field theory, with a particular focus on string theory. This is a candidate for the ambitious task of unifying all forces and matter, and of quantizing gravity. In its most popular phase, this theory predicts six additional dimensions beyond the four we have observed so far. Most of my work concerns the "shape" of the tiny space spanned by these dimensions. I am particularly interested in the consequences of supersymmetry, a proposed new elementary symmetry that would explain some of the paradoxes of modern high-energy physics. About some of these topics I have written the book Geometry of String Theory Compactifications (Cambridge University Press). |
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Some of my results:
- I have characterized (with M. Graña, R. Minasian, M. Petrini) the requirements imposed by supersymmetry on the six-dimensional space in terms of a "generalized complex geometry" that had been previously introduced by N. Hitchin and M. Gualtieri, and studied by many mathematicians.
- I have clarified the nature of massive IIA string theory, the last corner of string theory without any known non-perturbative completion, by finding gauge theories (with D. Gaiotto) which are dual to some of its supersymmetric vacua.
- I have shown that a supersymmetric field theory can be defined on any complex manifold (with C. Klare, A. Zaffaroni) in Euclidean signature. I have also obtained similar characterization in three dimensions, and in Lorentz signature (in work with D. Cassani, K. Hristov, C. Klare, D. Martelli, A. Zaffaroni).
- I found gravity duals to six-dimensional field theories (with F. Apruzzi, M. Fazzi, D. Gaiotto, D. Rosa), and I have contributed to the classification of such models by introducing six-dimensional conformal matter (with M. Del Zotto, J. Heckman, C. Vafa).
- I have found the first general bounds on KK masses for a general class of gravity compactifications, by applying ideas from Bakry-Émery geometry and the theory of Optimal Transport (work with B. De Luca, and mathematicians N. De Ponti, A. Mondino).
- I have also worked on several other aspects of string theory, such as the dynamics of D-branes on Calabi-Yau manifolds, non-commutativity, brane instantons.
Selected papers in inverse chronological order*
Cheeger bounds on spin-two fields
G. B. de Luca, N. de Ponti, A. Mondino, A. Tomasiello [2109.11560 [hep-th]]
On supersymmetric AdS4 orientifold vacua
Fernando Marchesano, Eran Palti, Joan Quirant, Alessandro Tomasiello [2003.13578 [hep-th]]
Classical de Sitter Solutions of Ten-Dimensional Supergravity
Clay Cordova, G. Bruno De Luca, Alessandro Tomasiello [1812.04147 [hep-th]]
The frozen phase of F-theory
Lakshya Bhardwaj, David Morrison, Yuji Tachikawa, Alessandro Tomasiello [1805.09070 [hep-th]]
Holographic duals of 3d S-fold CFTs
Benjamin Assel, Alessandro Tomasiello [1804.06419 [hep-th]]
6d Conformal Matter
Michele del Zotto, Jonathan Heckman, Alessandro Tomasiello and Cumrun Vafa [1407.6359 [hep-th]]
All AdS7 solutions of type II supergravity
Fabio Apruzzi, Marco Fazzi, Dario Rosa and Alessandro Tomasiello [1309.2949 [hep-th]]
Supersymmetry on Curved Spaces and Holography
Claudius Klare, Alessandro Tomasiello and Alberto Zaffaroni [1205.1062 [hep-th]]
Generalized structures of ten-dimensional supersymmetric solutions
Alessandro Tomasiello [1109.2603 [hep-th]]
Massive type IIA string theory
cannot be strongly coupled
Ofer Aharony, Daniel Jafferis, Alessandro Tomasiello and Alberto
Zaffaroni [1007.2451
[hep-th]]
The gauge dual of Romans mass
Davide Gaiotto, Alessandro Tomasiello [0901.0969 [hep-th]]
The general (2,2) gauged sigma
model with three-form flux
Anton Kapustin, Alessandro Tomasiello [hep-th/0610210]
Complex/symplectic mirrors
Wu-yen Chuang, Shamit Kachru, Alessandro Tomasiello [hep-th/0510042]
Generalized structures of N=1
vacua
Mariana Grana, Ruben Minasian, Michela Petrini, Alessandro Tomasiello [hep-th/0505212]
D-branes on Calabi-Yau
manifolds and superpotentials
Michael Douglas, Suresh Govindarajan, T. Jayaraman, Alessandro
Tomasiello
[hep-th/0203173]
D-branes on Calabi-Yau
manifolds and helices
Alessandro Tomasiello
[hep-th/0010217]
