Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence

Evgenii Ievlev; Mikhail Shifman; Alexei V Yung

doi:10.1063/5.0063360

Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence

Evgenii Ievlev, Mikhail Shifman, Alexei V Yung

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

In this talk we are going to discuss recent results on non-Abelian vortex strings in four-dimensional (4D) N = 2 supersymmetric QCD with U(N = 2) gauge group and Nf = 4 flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. In particular, the lowest string state appears to be a massless BPS "baryon."Here we confirm the existence of this stringy baryon using purely field-theoretic methods. To this end we study the conformal world-sheet theory on the non-Abelian string - the so called weighted N = (2, 2) supersymmetric CP model. Then we use the 2D-4D correspondence to show that a marginal deformation of the target space is associated with the emergence of a non-perturbative Higgs branch in 4D theory which opens up at strong coupling. The modulus parameter on this Higgs branch is the vacuum expectation value of the massless BPS "baryon"previously found in string theory. Moreover, we explicitly demonstrate the occurrence of the so-called "instead-of-confinement"phase. Based on the talk given at the XXIV International Scientific Conference of Young Scientists and Specialists (AYSS-2020).

Original language	English (US)
Title of host publication	Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020
Editors	Vratislav Chudoba, Olga Derenovskaya, Aidos Issadykov, Alexander Verkheev, Nikolay Voytishin
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735441323
DOIs	https://doi.org/10.1063/5.0063360
State	Published - Sep 24 2021
Event	24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020 - Dubna, Virtual, Russian Federation Duration: Nov 9 2020 → Nov 13 2020

Publication series

Name	PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020)

Conference

Conference	24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020
Country/Territory	Russian Federation
City	Dubna, Virtual
Period	11/9/20 → 11/13/20

Bibliographical note

Funding Information:
Useful discussions with E. Gerchkovitz and A. Karasik are acknowledged. The work of MS is supported in part by DOE grant DE-SC0011842. The work of A.Y. was supported by William I. Fine Theoretical Physics Institute, University of Minnesota and by Russian Foundation for Basic Research Grant No. 18-02-00048a. The work of E.I. was supported in part by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” according to the research project No. 19-1-5-106-1, and by Russian Foundation for Basic Research Grant No. 18-02-00048a. The authors thank the Joint Institute for Nuclear Research, Dubna for the XXIV International Scientific Conference of Young Scientists and Specialists (AYSS-2020), where this work was discussed.

Publisher Copyright:
© 2021 Author(s).

Publisher link

10.1063/5.0063360

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Ievlev, E., Shifman, M., & Yung, A. V. (2021). Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence. In V. Chudoba, O. Derenovskaya, A. Issadykov, A. Verkheev, & N. Voytishin (Eds.), Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020 Article 090002 (PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020)). American Institute of Physics Inc.. https://doi.org/10.1063/5.0063360

Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence. / Ievlev, Evgenii; Shifman, Mikhail; Yung, Alexei V.
Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020. ed. / Vratislav Chudoba; Olga Derenovskaya; Aidos Issadykov; Alexander Verkheev; Nikolay Voytishin. American Institute of Physics Inc., 2021. 090002 (PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ievlev, E, Shifman, M & Yung, AV 2021, Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence. in V Chudoba, O Derenovskaya, A Issadykov, A Verkheev & N Voytishin (eds), Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020., 090002, PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020), American Institute of Physics Inc., 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020, Dubna, Virtual, Russian Federation, 11/9/20. https://doi.org/10.1063/5.0063360

Ievlev E, Shifman M, Yung AV. Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence. In Chudoba V, Derenovskaya O, Issadykov A, Verkheev A, Voytishin N, editors, Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020. American Institute of Physics Inc. 2021. 090002. (PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020)). doi: 10.1063/5.0063360

Ievlev, Evgenii ; Shifman, Mikhail ; Yung, Alexei V. / Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence. Proceedings of the 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020. editor / Vratislav Chudoba ; Olga Derenovskaya ; Aidos Issadykov ; Alexander Verkheev ; Nikolay Voytishin. American Institute of Physics Inc., 2021. (PROCEEDINGS OF THE 24TH INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2020)).

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abstract = "In this talk we are going to discuss recent results on non-Abelian vortex strings in four-dimensional (4D) N = 2 supersymmetric QCD with U(N = 2) gauge group and Nf = 4 flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. In particular, the lowest string state appears to be a massless BPS {"}baryon.{"}Here we confirm the existence of this stringy baryon using purely field-theoretic methods. To this end we study the conformal world-sheet theory on the non-Abelian string - the so called weighted N = (2, 2) supersymmetric CP model. Then we use the 2D-4D correspondence to show that a marginal deformation of the target space is associated with the emergence of a non-perturbative Higgs branch in 4D theory which opens up at strong coupling. The modulus parameter on this Higgs branch is the vacuum expectation value of the massless BPS {"}baryon{"}previously found in string theory. Moreover, we explicitly demonstrate the occurrence of the so-called {"}instead-of-confinement{"}phase. Based on the talk given at the XXIV International Scientific Conference of Young Scientists and Specialists (AYSS-2020).",

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note = "Funding Information: Useful discussions with E. Gerchkovitz and A. Karasik are acknowledged. The work of MS is supported in part by DOE grant DE-SC0011842. The work of A.Y. was supported by William I. Fine Theoretical Physics Institute, University of Minnesota and by Russian Foundation for Basic Research Grant No. 18-02-00048a. The work of E.I. was supported in part by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” according to the research project No. 19-1-5-106-1, and by Russian Foundation for Basic Research Grant No. 18-02-00048a. The authors thank the Joint Institute for Nuclear Research, Dubna for the XXIV International Scientific Conference of Young Scientists and Specialists (AYSS-2020), where this work was discussed. Publisher Copyright: {\textcopyright} 2021 Author(s).; 24th International Scientific Conference of Young Scientists and Specialists, AYSS 2020 ; Conference date: 09-11-2020 Through 13-11-2020",

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N2 - In this talk we are going to discuss recent results on non-Abelian vortex strings in four-dimensional (4D) N = 2 supersymmetric QCD with U(N = 2) gauge group and Nf = 4 flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. In particular, the lowest string state appears to be a massless BPS "baryon."Here we confirm the existence of this stringy baryon using purely field-theoretic methods. To this end we study the conformal world-sheet theory on the non-Abelian string - the so called weighted N = (2, 2) supersymmetric CP model. Then we use the 2D-4D correspondence to show that a marginal deformation of the target space is associated with the emergence of a non-perturbative Higgs branch in 4D theory which opens up at strong coupling. The modulus parameter on this Higgs branch is the vacuum expectation value of the massless BPS "baryon"previously found in string theory. Moreover, we explicitly demonstrate the occurrence of the so-called "instead-of-confinement"phase. Based on the talk given at the XXIV International Scientific Conference of Young Scientists and Specialists (AYSS-2020).

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Stringy effects in four-dimensional N = 2 supersymmetric QCD from 2D-4D correspondence

Abstract

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Bibliographical note

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