Abstract
We present a class of analytic solutions of cubic superstring field theory in the universal sector on a non-BPS D-brane. Computation of the action and gauge invariant overlap reveal that the solutions carry half the tension of a non-BPS D-brane. However, the solutions do not satisfy the reality condition. In fact, they display an intriguing topological structure: We find evidence that conjugation of the solutions is equivalent to a gauge transformation that cannot be continuously deformed to the identity.
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References
N. Berkovits, SuperPoincaré invariant superstring field theory, Nucl. Phys. B 450 (1995) 90 [Erratum-ibid. B 459 (1996) 439] [hep-th/9503099] [SPIRES].
N. Berkovits, A new approach to superstring field theory, Fortsch. Phys. 48 (2000) 31 [hep-th/9912121] [SPIRES].
C.R. Preitschopf, C.B. Thorn and S.A. Yost, Superstring field theory, Nucl. Phys. B 337 (1990) 363 [SPIRES].
I.Y. Arefeva, P.B. Medvedev and A.P. Zubarev, New representation for string field solves the consistency problem for open superstring field theory, Nucl. Phys. B 341 (1990) 464 [SPIRES].
E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253 [SPIRES].
I.Y. Aref’eva, A.S. Koshelev, D.M. Belov and P.B. Medvedev, Tachyon condensation in cubic superstring field theory, Nucl. Phys. B 638 (2002) 3 [hep-th/0011117] [SPIRES].
K. Ohmori, Level-expansion analysis in NS superstring field theory revisited, hep-th/0305103 [SPIRES].
K. Ohmori, A review on tachyon condensation in open string field theories, hep-th/0102085 [SPIRES].
J. Raeymaekers, Tachyon condensation in string field theory: tachyon potential in the conformal field theory approach, Ph.D. Thesis, K.U. Leuven (2001).
M. Kroyter, Superstring field theory equivalence: Ramond sector, JHEP 10 (2009) 044 [arXiv:0905.1168] [SPIRES].
M. Kroyter, On string fields and superstring field theories, JHEP 08 (2009) 044 [arXiv:0905.1170] [SPIRES].
N. Berkovits, The Ramond sector of open superstring field theory, JHEP 11 (2001) 047 [hep-th/0109100] [SPIRES].
N. Berkovits, Review of open superstring field theory, hep-th/0105230 [SPIRES].
M. Kroyter, Superstring field theory in the democratic picture, arXiv:0911.2962 [SPIRES].
N. Berkovits and W. Siegel, Regularizing cubic open Neveu-Schwarz string field theory, JHEP 11 (2009) 021 [arXiv:0901.3386] [SPIRES].
E. Fuchs and M. Kroyter, On the classical equivalence of superstring field theories, JHEP 10 (2008) 054 [arXiv:0805.4386] [SPIRES].
T. Erler, Tachyon vacuum in cubic superstring field theory, JHEP 01 (2008) 013 [arXiv:0707.4591] [SPIRES].
M. Kroyter, Comments on superstring field theory and its vacuum solution, JHEP 08 (2009) 048 [arXiv:0905.3501] [SPIRES].
T. Erler and M. Schnabl, Analytic solution for tachyon condensation in nonpolynomial superstring field theory, work in progress.
N. Berkovits, A. Sen and B. Zwiebach, Tachyon condensation in superstring field theory, Nucl. Phys. B 587 (2000) 147 [hep-th/0002211] [SPIRES].
T. Erler and M. Schnabl, A simple analytic solution for tachyon condensation, JHEP 10 (2009) 066 [arXiv:0906.0979] [SPIRES].
Y. Okawa, Comments on Schnabl’s analytic solution for tachyon condensation in Witten’s open string field theory, JHEP 04 (2006) 055 [hep-th/0603159] [SPIRES].
M. Schnabl, Analytic solution for tachyon condensation in open string field theory, Adv. Theor. Math. Phys. 10 (2006) 433 [hep-th/0511286] [SPIRES].
Y. Okawa, L. Rastelli and B. Zwiebach, Analytic solutions for tachyon condensation with general projectors, hep-th/0611110 [SPIRES].
T. Erler, Split string formalism and the closed string vacuum, JHEP 05 (2007) 083 [hep-th/0611200] [SPIRES].
L. Rastelli and B. Zwiebach, Solving open string field theory with special projectors, JHEP 01 (2008) 020 [hep-th/0606131] [SPIRES].
L. Rastelli and B. Zwiebach, Tachyon potentials, star products and universality, JHEP 09 (2001) 038 [hep-th/0006240] [SPIRES].
E. Fuchs and M. Kroyter, Marginal deformation for the photon in superstring field theory, JHEP 11 (2007) 005 [arXiv:0706.0717] [SPIRES].
M.R. Gaberdiel and B. Zwiebach, Tensor constructions of open string theories I: Foundations, Nucl. Phys. B 505 (1997) 569 [hep-th/9705038] [SPIRES].
L. Rastelli, Comments on the open string C ∗ -algebra, talk presented at the Simons Center Workshop on String Field Theory, Stony Brook University, New York U.S.A. (2009).
M. Schnabl, Algebraic solutions in open string field theory — a lightning review, arXiv:1004.4858 [SPIRES].
E. Fuchs, M. Kroyter and R. Potting, Marginal deformations in string field theory, JHEP 09 (2007) 101 [arXiv:0704.2222] [SPIRES].
M. Kiermaier and Y. Okawa, Exact marginality in open string field theory: a general framework, JHEP 11 (2009) 041 [arXiv:0707.4472] [SPIRES].
T. Erler, Marginal solutions for the superstring, JHEP 07 (2007) 050 [arXiv:0704.0930] [SPIRES].
Y. Okawa, Analytic solutions for marginal deformations in open superstring field theory, JHEP 09 (2007) 084 [arXiv:0704.0936] [SPIRES].
Y. Okawa, Real analytic solutions for marginal deformations in open superstring field theory, JHEP 09 (2007) 082 [arXiv:0704.3612] [SPIRES].
M. Kiermaier and Y. Okawa, General marginal deformations in open superstring field theory, JHEP 11 (2009) 042 [arXiv:0708.3394] [SPIRES].
T. Erler, Split string formalism and the closed string vacuum. II, JHEP 05 (2007) 084 [hep-th/0612050] [SPIRES].
I. Ellwood, The closed string tadpole in open string field theory, JHEP 08 (2008) 063 [arXiv:0804.1131] [SPIRES].
W. Taylor and B. Zwiebach, D-branes, tachyons and string field theory, hep-th/0311017 [SPIRES].
M. Kiermaier and B. Zwiebach, One-loop Riemann surfaces in Schnabl gauge, JHEP 07 (2008) 063 [arXiv:0805.3701] [SPIRES].
M. Kiermaier, Y. Okawa and B. Zwiebach, The boundary state from open string fields, arXiv:0810.1737 [SPIRES].
G.T. Horowitz and A. Strominger, Translations as inner derivations and associativity anomalies in open string field theory, Phys. Lett. B 185 (1987) 45 [SPIRES].
M. Schnabl, Wedge states in string field theory, JHEP 01 (2003) 004 [hep-th/0201095] [SPIRES].
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ArXiv ePrint: 1009.1865
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Erler, T. Exotic universal solutions in cubic superstring field theory. J. High Energ. Phys. 2011, 107 (2011). https://doi.org/10.1007/JHEP04(2011)107
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DOI: https://doi.org/10.1007/JHEP04(2011)107