×

zbMATH — the first resource for mathematics

Toroidal compactification of heterotic 6D non-critical strings down to four dimensions. (English) Zbl 0925.81239
Summary: The low-energy limit of the 6D non-critical string theory with \(N=1\) SUSY and \(E_8\) chiral current algebra compactified on \(T^2\) is generically an \(N=2 \) U(1) vector multiplet. We study the analog of the Seiberg-Witten solution for the low-energy effective action as a function of \(E_8\) Wilson lines on the compactified torus and the complex modulus of that torus. The moduli space includes regions where the Seiberg-Witten curves for SU(2) QCD are recovered as well as regions where the newly discovered 4D theories with enhanced \(E_{6,7,8}\) global symmetries appear.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] E. Witten, Some Comments on String Dynamics, contributed to Strings ’95, hep-th/9507121.
[2] O.J. Ganor and A. Hanany, Small Es Instantons and Tensionless Non-Critical Strings, hep-th/9602120.
[3] Seiberg, N.; Witten, E., Comments on string dynamics in six-dimensions, Nucl. phys. B, 471, 121, (1996) · Zbl 1003.81535
[4] Witten, E., Phase transitions in M-theory and F-theory, Nucl. phys. B, 471, 195, (1996) · Zbl 1003.81537
[5] D.R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, hepth/9603161. · Zbl 0925.14007
[6] O.J. Ganor, Compactification of Tensionless String Theories, hep-th/9607092.
[7] Vafa, C.; Witten, E., A strong coupling test of S-duality, Nucl. phys. B, 431, 3, (1994) · Zbl 0964.81522
[8] T. Banks, M.R. Douglas and N. Seiberg, Probing F-theory with Branes, hep-th/9605199.
[9] N. Seiberg, IR Dynamics on Branes and Space-Time Geometry, hep-th/9606017.
[10] J.A. Minahan and D. Nemeschansky, An N = 2 Superconformal Fixed Point with E6 Global Symmetry, hep-th/9608047. · Zbl 0925.81309
[11] N. Seiberg and E. Witten, Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD, hep-th/9408099. · Zbl 1020.81911
[12] Seiberg, N.; Witten, E., Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. phys. B, 426, 19, (1994) · Zbl 0996.81510
[13] Seiberg, N., The power of holomorphy: exact results in 4D SUSY field theories, Pascos, 357-369, (1994), hep-th/9408013
[14] Kachru, S.; Vafa, C., Nucl. phys. B, 450, 69, (1995)
[15] A. Klemm, P. Mayr and C. Vafa, BPS States of Exceptional Non-critical Strings, hep-th/9607139. · Zbl 0976.81503
[16] O.J. Ganor, A Test of The Chiral E8 Current Algebra on a 6D Non-Critical String, hep-th/9607020. · Zbl 0925.81202
[17] Ginsparg, P., On toroidal compactification of heterotic superstrings, Phys. rev. D, 35, 648, (1987)
[18] E. Witten, Small Instantons in String Theory, preprint IASSNS-HEP-95-87, hep-th/9511030.
[19] C. Vafa, Evidence For F-Theory, hep-th/9602022.
[20] K. Intriligator and N. Seiberg, Mirror Symmetry in Three-Dimensional Gauge Theories, hep-th/9607207. · Zbl 1020.81903
[21] E. Witten, Non-perturbative Superpotentials in String Theory, hep-th/9604030. · Zbl 0925.32012
[22] A. Klemm, W. Lerche, S. Yankielowicz and S. Theisen, Simple Singularities and N = 2 Supersymmetric Yang-Mills Theory, hep-th/9411048.
[23] P.C. Argyres and A.E. Faraggi, The Vacuum Structure and Spectrum of N = 2 SU(N) Gauge Theory, hep-th/9411057.
[24] A. Hanany and I.R. Klebanov, On Tensionless Strings in 3 + 1 Dimensions, hep-th/9606136. · Zbl 0925.81220
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.