Tachyon vacuum in cubic superstring field theory

Erler, Theodore

doi:10.1088/1126-6708/2008/01/013

Cited by 73 publications

(161 citation statements)

References 29 publications

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“…The form and origin of these terms is quite clear by now [19]. They originate from replacing terms of the form (1 − Ω) −1 with their series form.…”

Section: On the Non-bps D-branementioning

confidence: 96%

“…These solutions are based on the recent solutions of [18,19,20]. While such solutions are to be expected for the non-BPS D-brane, where a tachyon is present, it may seem strange to have them on the BPS D-brane, where a physical tachyon is absent.…”

Section: 3)mentioning

confidence: 99%

“…This is not true when the transformations are composed in the other order. Proving that G defined by our map is a solution is now straightforward, as 19) since Ψ resides in the small Hilbert space and so is annihilated by η 0 . We conclude that given our map, the equation of motion for Φ follows from that of Ψ.…”

Section: Equations Of Motionmentioning

confidence: 99%

“…It follows that there is no way to correct it in order to obtain a vertex operator so it is an auxiliary field. In [19], Erler suggested to use the trivial mapping of Schnabl's gauge field to the cubic superstring field theory, in order to obtain a non-perturbative vacuum in this theory. He further showed that it gives the expected action of a solution describing the absence of the D-brane and that the cohomology around the solution is empty.…”

Section: On the Bps D-branementioning

confidence: 99%

“…where we used the relation 19) to get the final expressions. These transformations form an abelian group with the simple multiplication rule,…”

Section: On the Non-bps D-branementioning

confidence: 99%

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On the classical equivalence of superstring field theories

Fuchs

Kroyter

2008

J. High Energy Phys.

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We construct mappings that send solutions of the cubic and non-polynomial open superstring field theories to each other. We prove that the action is invariant under the maps and that gauge orbits are mapped into gauge orbits. It follows that the perturbative spectrum around solutions is the same in both theories. The mappings also preserve the string field reality condition. We generalize to the cases of a non-BPS D-brane and of multi-D-brane systems. We analyze the recently found analytical solutions of the cubic action, both in the BPS sector and the non-BPS sector and show that they span a one parameter family of solutions with empty cohomology and identical action, which suggests that they are gauge equivalent. We write the gauge transformations relating these solutions explicitly. This seems to suggest that open superstring field theory is able to describe a vacuum solution even around a BPS D-brane.

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“…The form and origin of these terms is quite clear by now [19]. They originate from replacing terms of the form (1 − Ω) −1 with their series form.…”

Section: On the Non-bps D-branementioning

confidence: 96%

Section: 3)mentioning

confidence: 99%

Section: Equations Of Motionmentioning

confidence: 99%

Section: On the Bps D-branementioning

confidence: 99%

“…where we used the relation 19) to get the final expressions. These transformations form an abelian group with the simple multiplication rule,…”

Section: On the Non-bps D-branementioning

confidence: 99%

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On the classical equivalence of superstring field theories

Fuchs

Kroyter

2008

J. High Energy Phys.

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Comments on real tachyon vacuum solution without square roots

Arroyo

2018

J. High Energ. Phys.

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Abstract:We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly L 0 and the traditional L 0 eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.

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Numerical solution of open string field theory in Schnabl gauge

Arroyo

Fernandes–Silva

Szitas

2018

J. High Energ. Phys.

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Using traditional Virasoro L 0 level-truncation computations, we evaluate the open bosonic string field theory action up to level (10,30). Extremizing this level-truncated potential, we construct a numerical solution for tachyon condensation in Schnabl gauge. We find that the energy associated to the numerical solution overshoots the expected value −1 at level L = 6. Extrapolating the level-truncation data for L ≤ 10 to estimate the vacuum energies for L > 10, we predict that the energy reaches a minimum value at L ∼ 12, and then turns back to approach −1 asymptotically as L → ∞. Furthermore, we analyze the tachyon vacuum expectation value (vev), for which by extrapolating its corresponding level-truncation data, we predict that the tachyon vev reaches a minimum value at L ∼ 26, and then turns back to approach the expected analytical result as L → ∞.

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Tachyon vacuum in cubic superstring field theory

Cited by 73 publications

References 29 publications

On the classical equivalence of superstring field theories

On the classical equivalence of superstring field theories

Comments on real tachyon vacuum solution without square roots

Numerical solution of open string field theory in Schnabl gauge

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