Quantizing a solitonic string

Shifman, M.; Yung, A.

doi:10.1007/jhep12(2019)050

Quantizing a solitonic string

Journal Article · Thu Dec 05 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2019)050· OSTI ID:1837576

Shifman, M. ^[1]; Yung, A. ^[2]

Univ. of Minnesota, Minneapolis, MN (United States); University of Minnesota
Univ. of Minnesota, Minneapolis, MN (United States); Petersburg Nuclear Physics Inst. (Russia); St. Petersburg State Univ. (Russia)

Quite often the zero mode dynamics on solitonic vortices are described by a non-conformal effective world-sheet sigma model (WSSM). We address the problem of solitonic string quantization in this case. As well-known, only critical strings with conformal WSSMs are self-consistent in ultra-violet (UV) domain. Thus, we look for the appropriate UV completion of the low-energy non-conformal WSSM. We argue that for the solitonic strings supported in well-defined bulk theories the UV complete WSSM has a UV fixed point which can be used for string quantization. As an example, we consider BPS non- Abelian vortices supported by four-dimensional (4D) N = 2 SQCD with the gauge group U(N) and Nf quark multiplets where N_f ≥ N. In addition to translational moduli the non-Abelian vortex under consideration carries orientational and size moduli. Their low- energy dynamics are described by a two-dimensional N = (2, 2) supersymmetric weighted model, namely, WCP (N, N_f– N ). Given our UV completion of this WSSM we find its UV fixed point. The latter defines a superconformal WSSM. We observe two cases in which this conformal WSSM, combined with the free theory for four translational moduli, has ten-dimensional target space required for superstrings to be critical.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011842

OSTI ID:: 1837576

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2019; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (54)

Comments on SU(1,1) string theory Petropoulos, P. M. S. Physics Letters B, Vol. 236, Issue 2 https://doi.org/10.1016/0370-2693(90)90819-r	journal	February 1990
Phenomenology and conformal field theory or can string theory predict the weak mixing angle? Banks, Thomas; Dixon, Lance J.; Friedan, Daniel Nuclear Physics B, Vol. 299, Issue 3 https://doi.org/10.1016/0550-3213(88)90551-2	journal	April 1988
c = 1 string as the topological theory of the conifold Ghoshal, Debashis; Vafa, Cumrun Nuclear Physics B, Vol. 453, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00408-k	journal	October 1995
Critical string from non-Abelian vortex in four dimensions Shifman, M.; Yung, A. Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.09.045	journal	November 2015
Solitons in the Higgs phase: the moduli matrix approach Eto, Minoru; Isozumi, Youichi; Nitta, Muneto Journal of Physics A: Mathematical and General, Vol. 39, Issue 26 https://doi.org/10.1088/0305-4470/39/26/r01	journal	June 2006
Vortex Strings and Four-Dimensional Gauge Dynamics Hanany, Amihay; Tong, David Journal of High Energy Physics, Vol. 2004, Issue 04 https://doi.org/10.1088/1126-6708/2004/04/066	journal	April 2004
On the moduli space of semilocal strings and lumps Eto, Minoru; Evslin, Jarah; Konishi, Kenichi Physical Review D, Vol. 76, Issue 10 https://doi.org/10.1103/physrevd.76.105002	journal	November 2007
Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD Shifman, M.; Vinci, W.; Yung, A. arXiv https://doi.org/10.48550/arxiv.1104.2077	text	January 2011
A New Deconstruction of Little String Theory Dorey, Nick arXiv https://doi.org/10.48550/arxiv.hep-th/0406104	text	January 2004
TASI Lectures on Solitons Tong, David arXiv https://doi.org/10.48550/arxiv.hep-th/0509216	preprint	January 2005
Two dimensional black-hole as a topological coset model of c=1 string theory Mukhi, S.; Vafa, C.; Frenkel, E. arXiv https://doi.org/10.48550/arxiv.hep-th/9301083	text	January 1993
The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle Evans, J. M.; Gaberdiel, M. R.; Perry, M. J. arXiv https://doi.org/10.48550/arxiv.hep-th/9806024	text	January 1998
Generalized Calabi-Yau compactifications with D-branes and fluxes Louis, J. Fortschritte der Physik, Vol. 53, Issue 7-8 https://doi.org/10.1002/prop.200410202	journal	July 2005
On classification ofN=2 supersymmetric theories Cecotti, Sergio; Vafa, Cumrun Communications in Mathematical Physics, Vol. 158, Issue 3 https://doi.org/10.1007/BF02096804	journal	December 1993
Vortex-strings in N = 2 $$ \mathcal{N}=2 $$ SQCD and bulk-string decoupling Gerchkovitz, Efrat; Karasik, Avner Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)091	journal	February 2018
Quantum geometry of bosonic strings Polyakov, A. M. Physics Letters B, Vol. 103, Issue 3 https://doi.org/10.1016/0370-2693(81)90743-7	journal	July 1981
Non-critical superstrings Kutasov, David; Seiberg, Nathan Physics Letters B, Vol. 251, Issue 1 https://doi.org/10.1016/0370-2693(90)90233-V	journal	November 1990
Comments on SU(1,1) string theory Petropoulos, P. M. S. Physics Letters B, Vol. 236, Issue 2 https://doi.org/10.1016/0370-2693(90)90819-R	journal	February 1990
Cosets as gauge slices in SU(1, 1) strings Hwang, Stephen Physics Letters B, Vol. 276, Issue 4 https://doi.org/10.1016/0370-2693(92)91666-W	journal	February 1992
Vortex-line models for dual strings Nielsen, H. B.; Olesen, P. Nuclear Physics B, Vol. 61 https://doi.org/10.1016/0550-3213(73)90350-7	journal	September 1973
Instatons, the quark model, and the 1/N expansion Witten, Edward Nuclear Physics B, Vol. 149, Issue 2 https://doi.org/10.1016/0550-3213(79)90243-8	journal	March 1979
An effective action for the supersymmetric CPn−1 model D'adda, A.; Davis, A. C.; Di Vecchia, P. Nuclear Physics B, Vol. 222, Issue 1 https://doi.org/10.1016/0550-3213(83)90608-9	journal	July 1983
Space-time supersymmetry in compactified string theory and superconformal models Gepner, Doron Nuclear Physics B, Vol. 296, Issue 4 https://doi.org/10.1016/0550-3213(88)90397-5	journal	January 1988
N=2 superconformal symmetry and SO(2,1) current algebra Dixon, Lance J.; Peskin, Michael E.; Lykken, Joseph Nuclear Physics B, Vol. 325, Issue 2 https://doi.org/10.1016/0550-3213(89)90459-8	journal	October 1989
Comments on conifolds Candelas, Philip; de la Ossa, Xenia C. Nuclear Physics B, Vol. 342, Issue 1 https://doi.org/10.1016/0550-3213(90)90577-Z	journal	September 1990
Phases of N = 2 theories in two dimensions Witten, Edward Nuclear Physics B, Vol. 403, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90033-L	journal	August 1993
Two-dimensional black hole as a topological coset model of c = 1 string theory Mukhi, Sunil; Vafa, Cumrun Nuclear Physics B, Vol. 407, Issue 3 https://doi.org/10.1016/0550-3213(93)90094-6	journal	October 1993
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD Seiberg, N.; Witten, E. Nuclear Physics B, Vol. 431, Issue 3 https://doi.org/10.1016/0550-3213(94)90214-3	journal	December 1994
c = 1 string as the topological theory of the conifold Ghoshal, Debashis; Vafa, Cumrun Nuclear Physics B, Vol. 453, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00408-K	journal	October 1995
Two-dimensional black hole and singularities of CY manifolds Ooguri, Hirosi; Vafa, Cumrun Nuclear Physics B, Vol. 463, Issue 1 https://doi.org/10.1016/0550-3213(96)00008-9	journal	March 1996
Semilocal and electroweak strings Achúcarro, A. Physics Reports, Vol. 327, Issue 6 https://doi.org/10.1016/S0370-1573(99)00103-9	journal	April 2000
CFT's from Calabi–Yau four-folds Gukov, Sergei; Vafa, Cumrun; Witten, Edward Nuclear Physics B, Vol. 584, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00373-4	journal	September 2000
Branes and N = 2 theories in two dimensions Hanany, Amihay; Hori, Kentaro Nuclear Physics B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00754-2	journal	March 1998
The no-ghost theorem for AdS3 and the stringy exclusion principle Evans, Jonathan M.; Gaberdiel, Matthias R.; Perry, Malcolm J. Nuclear Physics B, Vol. 535, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00561-6	journal	December 1998
Quantum vortex strings: A review Tong, David Annals of Physics, Vol. 324, Issue 1 https://doi.org/10.1016/j.aop.2008.10.005	journal	January 2009
Nonabelian superconductors: vortices and confinement in SQCD Auzzi, Roberto; Bolognesi, Stefano; Evslin, Jarah Nuclear Physics B, Vol. 673, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.09.029	journal	November 2003
The BPS spectra of gauge theories in two and four dimensions Dorey, Nicholas; Hollowood, Timothy J.; Tong, David Journal of High Energy Physics, Vol. 1999, Issue 05 https://doi.org/10.1088/1126-6708/1999/05/006	journal	May 1999
Little string theory in a double scaling limit Giveon, Amit; Kutasov, David Journal of High Energy Physics, Vol. 1999, Issue 10 https://doi.org/10.1088/1126-6708/1999/10/034	journal	October 1999
Holography for non-critical superstrings Giveon, Amit; Kutasov, David; Pelc, Oskar Journal of High Energy Physics, Vol. 1999, Issue 10 https://doi.org/10.1088/1126-6708/1999/10/035	journal	October 1999
Deformation of conifold and intersecting branes Ohta, Kazutoshi; Yokono, Takashi Journal of High Energy Physics, Vol. 2000, Issue 02 https://doi.org/10.1088/1126-6708/2000/02/023	journal	February 2000
Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities Klebanov, Igor R.; Strassler, Matthew J. Journal of High Energy Physics, Vol. 2000, Issue 08 https://doi.org/10.1088/1126-6708/2000/08/052	journal	August 2000
Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry Hori, Kentaro; Kapustin, Anton Journal of High Energy Physics, Vol. 2001, Issue 08 https://doi.org/10.1088/1126-6708/2001/08/045	journal	August 2001
Vortices, instantons and branes Hanany, Amihay; Tong, David Journal of High Energy Physics, Vol. 2003, Issue 07 https://doi.org/10.1088/1126-6708/2003/07/037	journal	July 2003
A New Deconstruction of Little String Theory Dorey, Nick Journal of High Energy Physics, Vol. 2004, Issue 07 https://doi.org/10.1088/1126-6708/2004/07/016	journal	July 2004
Monopoles in the Higgs phase Tong, David Physical Review D, Vol. 69, Issue 6 https://doi.org/10.1103/PhysRevD.69.065003	journal	March 2004
Non-Abelian string junctions as confined monopoles Shifman, M.; Yung, A. Physical Review D, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevD.70.045004	journal	August 2004
Non-Abelian confinement in N = 2 supersymmetric QCD: Duality and kinks on confining strings Shifman, M.; Yung, A. Physical Review D, Vol. 81, Issue 8 https://doi.org/10.1103/PhysRevD.81.085009	journal	April 2010
Quantum dynamics of low-energy theory on semilocal non-Abelian strings Koroteev, P.; Shifman, M.; Vinci, W. Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.065018	journal	September 2011
Non-Abelian vortex in four dimensions as a critical string on a conifold Koroteev, P.; Shifman, M.; Yung, A. Physical Review D, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevD.94.065002	journal	September 2016
Critical non-Abelian vortex in four dimensions and little string theory Shifman, M.; Yung, A. Physical Review D, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevD.96.046009	journal	August 2017
Hadrons of N = 2 supersymmetric QCD in four dimensions from little string theory Shifman, M.; Yung, A. Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.085013	journal	October 2018
Effective string theory Polchinski, Joseph; Strominger, Andrew Physical Review Letters, Vol. 67, Issue 13 https://doi.org/10.1103/PhysRevLett.67.1681	journal	September 1991
Supersymmetric solitons Shifman, M.; Yung, A. Reviews of Modern Physics, Vol. 79, Issue 4 https://doi.org/10.1103/RevModPhys.79.1139	journal	October 2007
Lessons from supersymmetry: "Instead-of-confinement" mechanism Shifman, M.; Yung, A. International Journal of Modern Physics A, Vol. 29, Issue 27 https://doi.org/10.1142/S0217751X14300646	journal	October 2014

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