Abstract
We propose a new non-perturbative method to search for marginal deformations in level truncated open string field theory. Instead of studying the flatness of the effective potential for the marginal field (which is not expected to give a one-to-one parametrization of the BCFT moduli space), we identify a new non-universal branch of the tachyon potential which, from known analytic examples, is expected to parametrize the marginal flow in a much larger region of the BCFT moduli space. By a level 18 computation in Siegel gauge we find an increasingly flat effective potential in the non-universal sector, connected to the perturbative vacuum and we confirm that the coefficient of the marginal field (λ SFT) has a maximum compatible with the value where the solutions stop existing in the standard Sen-Zwiebach approach. At the maximal reachable level the effective potential still deviates from flatness for large values of the tachyon, but the Ellwood invariants stay close to the correct BCFT values on the whole branch and the full periodic moduli space of the cosine deformation is covered.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Schnabl, Analytic solution for tachyon condensation in open string field theory, Adv. Theor. Math. Phys. 10 (2006) 433 [hep-th/0511286] [INSPIRE].
E. Fuchs and M. Kroyter, Analytical solutions of open string field theory, Phys. Rept. 502 (2011) 89 [arXiv:0807.4722] [INSPIRE].
M. Schnabl, Algebraic solutions in open string field theory — A lightning review, Acta Polytech. 50 (2010) 102 [arXiv:1004.4858] [INSPIRE].
Y. Okawa, Analytic methods in open string field theory, Prog. Theor. Phys. 128 (2012) 1001 [INSPIRE].
T. Erler and C. Maccaferri, String field theory solution for any open string background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].
N. Moeller, A. Sen and B. Zwiebach, D-branes as tachyon lumps in string field theory, JHEP 08 (2000) 039 [hep-th/0005036] [INSPIRE].
Y. Michishita, Tachyon lump solutions of bosonic D-branes on SU(2) group manifolds in cubic string field theory, Nucl. Phys. B 614 (2001) 26 [hep-th/0105246] [INSPIRE].
M. Kudrna, M. Rapcak and M. Schnabl, Ising model conformal boundary conditions from open string field theory, arXiv:1401.7980 [INSPIRE].
B. Zwiebach, A proof that Witten’s open string theory gives a single cover of moduli space, Commun. Math. Phys. 142 (1991) 193 [INSPIRE].
C. Maccaferri, A simple solution for marginal deformations in open string field theory, JHEP 05 (2014) 004 [arXiv:1402.3546] [INSPIRE].
T. Takahashi and S. Tanimoto, Marginal and scalar solutions in cubic open string field theory, JHEP 03 (2002) 033 [hep-th/0202133] [INSPIRE].
T. Erler and M. Schnabl, A simple analytic solution for tachyon condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [INSPIRE].
M. Kiermaier, Y. Okawa and P. Soler, Solutions from boundary condition changing operators in open string field theory, JHEP 03 (2011) 122 [arXiv:1009.6185] [INSPIRE].
T. Erler and C. Maccaferri, Connecting solutions in open string field theory with singular gauge transformations, JHEP 04 (2012) 107 [arXiv:1201.5119] [INSPIRE].
S. Inatomi, I. Kishimoto and T. Takahashi, Tachyon vacuum of bosonic open string field theory in marginally deformed backgrounds, PTEP 2013 (2013) 023B02 [arXiv:1209.4712] [INSPIRE].
S.B. Giddings, The Veneziano amplitude from interacting string field theory, Nucl. Phys. B 278 (1986) 242 [INSPIRE].
A. Sen and B. Zwiebach, Large marginal deformations in string field theory, JHEP 10 (2000) 009 [hep-th/0007153] [INSPIRE].
A. Sen, Energy momentum tensor and marginal deformations in open string field theory, JHEP 08 (2004) 034 [hep-th/0403200] [INSPIRE].
A. Kurs, Classical solutions in string field theory, Senior Thesis, Princeton University, Princeton U.S.A. (2005).
I. Kishimoto and T. Takahashi, Numerical solutions of open string field theory in marginally deformed backgrounds, PTEP 2013 (2013) 0903B06 [arXiv:1306.6532] [INSPIRE].
M. Kudrna, T. Masuda, Y. Okawa, M. Schnabl and K. Yoshida, Gauge-invariant observables and marginal deformations in open string field theory, JHEP 01 (2013) 103 [arXiv:1207.3335] [INSPIRE].
J.L. Karczmarek and M. Longton, SFT on separated D-branes and D-brane translation, JHEP 08 (2012) 057 [arXiv:1203.3805] [INSPIRE].
C. Maccaferri and M. Schnabl, Large BCFT moduli in open string field theory, JHEP 08 (2015) 149 [arXiv:1506.03723] [INSPIRE].
B. Zwiebach, A Solvable toy model for tachyon condensation in string field theory, JHEP 09 (2000) 028 [hep-th/0008227] [INSPIRE].
I. Ellwood, The closed string tadpole in open string field theory, JHEP 08 (2008) 063 [arXiv:0804.1131] [INSPIRE].
M. Kudrna, C. Maccaferri and M. Schnabl, Boundary state from Ellwood invariants, JHEP 07 (2013) 033 [arXiv:1207.4785] [INSPIRE].
A. Erdélyi, Higher transcendental functions, volume 3, McGraw-Hill, New York U.S.A. (1953).
A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237] [INSPIRE].
B. Zwiebach, Trimming the tachyon string field with SU(1, 1), hep-th/0010190.
D. Gaiotto and L. Rastelli, Experimental string field theory, JHEP 08 (2003) 048 [hep-th/0211012] [INSPIRE].
L. Rastelli and B. Zwiebach, Tachyon potentials, star products and universality, JHEP 09 (2001) 038 [hep-th/0006240] [INSPIRE].
T. Baba and N. Ishibashi, Energy from the gauge invariant observables, JHEP 04 (2013) 050 [arXiv:1208.6206] [INSPIRE].
M. Kudrna and M. Schnabl, in preparation.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1601.04046
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Kudrna, M., Maccaferri, C. BCFT moduli space in level truncation. J. High Energ. Phys. 2016, 57 (2016). https://doi.org/10.1007/JHEP04(2016)057
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2016)057