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Universidade Estadual Paulista (UNESP). Campus de São Paulo. Instituto de Física Teórica (IFT)
(Institutional affiliation for the last research proposal)

Birthplace:
Estados Unidos

Andrey Yuryevich Mikhaylov in research grants and scholarships supported by FAPESP.

Research grants

- Gauge / gravity duality, AP.TEM
### Abstract

This proposal puts together specialists in various areas of string theory and quantum field theory and their applications in order to analyze and apply various aspects of gauge/gravity duality. This duality and its applications are one of the most important and active areas of research in theoretical physics, and we are fortunate that São Paulo is emerging as the leading center for it n...

- Multiloop generalizations of KLT relations and pure spinor formalism, AV.EXT
### Abstract

Bases on the calculations by Mafra, Schlotterer and Stieberger using pure spinor formalism, S.Mizera made an important observation about tree level string amplitudes: tree level string amplitudes both for closed and open strings can be expressed in terms of twisted homology and cohomology. Professor Schwarz is currently working, in collaboration with S. Mizera and D. Fuchs, on extending...

- Vortex strings in supersymmetric field theories, AV.EXT
### Abstract

The work of Prof. Yung is at the intersection of QCD, supersymmetry and string theory. The main subject of his study is confinement, more precisely the question: what can we learn about the phenomenon of confinement from studying the dynamics of supersymmetric theories? In spite of the great progress in the past following the work of Seiberg and Witten, there is still a lot to be unders...

- Supertwistors, integrability and higher spin theories, AV.EXT
### Abstract

Integrable structures in supersymmetric Yang-Mills theories is the central topic in modern mathematical physics. Alexei Rosly is an expert in this area, the author of pioneering works on the integrability of tree-level amplitudes. He also worked for many years on the higher spin theories, which is another interesting subject. During his visit he will deliver a mini-series of lectures ab...

Scholarships in Brazil

- Pure spinor formalism in generic space-time, BP.DR
### Abstract

The relatively new formalism of Pure Spinors for superstrings has proven to excel in tasks where the previous Ramond-Neveu-Schwarz and Green-Schwarz descriptions have failed or are not as good as they can be; however, some problems remain open in this approach. This research project tries to shed light in some of these problems, in particular, the ones concerning its geometric aspects. ...

- D-branes and q-deformed 2D SuSy in Pohlmeyer-Reduced superstring sigma models, BP.PD
### Abstract

This project concerns the study of Lorentz invariant integrablestructures in the sigma model side of the AdS/CFT correspondence. Inparticular, we are interested in the Pohlmeyer reduction ofGreen-Schwarz (GS) superstring sigma models introduced a few years agoby Grigoriev and Tseytlin and by Mikhailov and Schafer-Nameki at theclassical level. The main motivation is to obtain a reformula...

- Quantum gauge theory and integrable systems, BP.PD
### Abstract

Background:This project is about the relation between supersymmetric gauge theories and integrable models. We know from past studies that SUSY gauge theory actually possess an integrable structure. An example is the relation between the four dimensional Seiberg-Witten theory and certain classical integrable models such as Toda and elliptic Calogero-Moser system, discovered in 1990s. Re...

(Only some records are available in English at this moment)

Scholarships abroad

- Quantum aspects of the worldsheet theory in the pure spinor formalism, BE.EP.DR
### Abstract

We propose to study some features in two settings where the pure spinor formalism has proven to be efficient. In first place, when computing multiloop amplitudes in the non-minimal version of the pure spinor string, there appear some issues related to an increasingly divergent amplitude integrand as we go higher in the number of loops. The divergence occurs in the region near the pure s...

- Coherent states, supersymmetric localization and the Pohlmeyer reduction, BE.EP.PD
### Abstract

The purpose of this research project is concerned with the application of techniques of integrability and supersymmetry to superstring theory. In particular, we are interested in understanding the origin of a certain quantum group supersymmetry associated to the Pohlmeyer reduction of Green-Schwarz (GS) superstring sigma models on targets of the AdS_{n}×S type and in the application of...

- Twistors, Yang-Mills and Super-String theory, BE.EP.PD
### Abstract

The twistor space had shown to be a powerful tool to understand the scattering amplitudes in N=4 d=4 Super-Yang-Mills theory. In this project, we intend to utilize a similar approach in order to obtain a better understanding at loop level of N=8 d=4 supergravity as well as of N=1 d=10 SYM theory, which can be the key to find the origin of the pure spinor formalism. (AU)

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| Ongoing research grants |

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| Completed research grants |

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| Completed scholarships in Brazil |

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| Ongoing scholarships abroad |

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| Completed scholarships abroad |

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| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 14 |

Citations | 317 |

Cit./Article | 22.6 |

Data from Web of Science |

HOLLOWOOD, TIMOTHY J.; LUIS MIRAMONTES, J.; SCHMIDTT, DAVID M.. S-matrices and quantum group symmetry of k-deformed sigma models.** Journal of Physics A-Mathematical and Theoretical**, v. 49, n. 46, NOV 18 2016. Web of Science Citations: 11. (12/09180-9)

GOMEZ, HUMBERTO; MAFRA, CARLOS R.; SCHLOTTERER, OLIVER. Two-loop superstring five-point amplitude and S-duality.** Physical Review D**, v. 93, n. 4, FEB 24 2016. Web of Science Citations: 8. (13/11409-7)

HE, WEI. N=2 supersymmetric QCD and elliptic potentials.** Journal of High Energy Physics**, n. 11, NOV 6 2014. Web of Science Citations: 4. (11/21812-8)

HE, WEI. A New Treatment for Some Periodic Schrodinger Operators I: The Eigenvalue.** COMMUNICATIONS IN THEORETICAL PHYSICS**, v. 69, n. 2, p. 115-126, FEB 2018. Web of Science Citations: 1. (11/21812-8)

HOLLOWOOD, TIMOTHY J.; LUIS MIRAMONTES, J.; SCHMIDTT, DAVID M.. Integrable deformations of strings on symmetric spaces.** Journal of High Energy Physics**, n. 11, NOV 4 2014. Web of Science Citations: 64. (13/23328-1)

GOMEZ, HUMBERTO; MAFRA, CARLOS R.. The closed-string 3-loop amplitude and S-duality.** Journal of High Energy Physics**, n. 10, OCT 30 2013. Web of Science Citations: 48. (13/11409-7)

HE, WEI. Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations.** ANNALS OF PHYSICS**, v. 353, p. 150-162, FEB 2015. Web of Science Citations: 9. (11/21812-8)

HOLLOWOOD, TIMOTHY J.; MIRAMONTES, J. LUIS; SCHMIDTT, DAVID M.. An integrable deformation of the AdS(5) x S-5 superstring.** Journal of Physics A-Mathematical and Theoretical**, v. 47, n. 49, DEC 12 2014. Web of Science Citations: 81. (13/23328-1)

CACHAZO, FREDDY; GOMEZ, HUMBERTO. Computation of contour integrals on M-0,M-n.** Journal of High Energy Physics**, n. 4, APR 19 2016. Web of Science Citations: 32. (11/13013-8)

SCHMIDTT, DAVID M.. Exploring the lambda model of the hybrid superstring.** Journal of High Energy Physics**, n. 10, OCT 26 2016. Web of Science Citations: 6. (12/09180-9)

HOLLOWOOD, TIMOTHY J.; LUIS MIRAMONTES, J.; SCHMIDTT, DAVID M.. S-matrices and quantum group symmetry of k-deformed sigma models.** Journal of Physics A-Mathematical and Theoretical**, v. 49, n. 46, NOV 18 2016. Web of Science Citations: 11. (12/09180-9)

GOMEZ, HUMBERTO; MAFRA, CARLOS R.; SCHLOTTERER, OLIVER. Two-loop superstring five-point amplitude and S-duality.** Physical Review D**, v. 93, n. 4, FEB 24 2016. Web of Science Citations: 8. (13/11409-7)

HE, WEI. N=2 supersymmetric QCD and elliptic potentials.** Journal of High Energy Physics**, n. 11, NOV 6 2014. Web of Science Citations: 4. (11/21812-8)

HE, WEI. A New Treatment for Some Periodic Schrodinger Operators I: The Eigenvalue.** COMMUNICATIONS IN THEORETICAL PHYSICS**, v. 69, n. 2, p. 115-126, FEB 2018. Web of Science Citations: 1. (11/21812-8)

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