280 research outputs found
Notes on the Wess-Zumino-Witten-like structure: triplet and NS-NS superstring field theory
In the NS-NS sector of superstring field theory, there potentially exist
three nilpotent generators of gauge transformations and two constraint
equations: It makes the gauge algebra of type II theory somewhat complicated.
In this paper, we show that every NS-NS actions have their WZW-like forms, and
that a triplet of mutually commutative products completely
determines the gauge structure of NS-NS superstring field theory via its
WZW-like structure. We give detailed analysis about it and present its
characteristic properties by focusing on two NS-NS actions proposed by
arXiv:1512.03379 and arXiv:1403.0940.Comment: 23+3 pages; Published ve
structure and alternative action for WZW-like superstring field theory
We propose new gauge invariant actions for open NS, heterotic NS, and closed
NS-NS superstring field theories. They are based on the large Hilbert space,
and have Wess-Zumino-Witten-like expressions which are the
-reversed versions of the conventional WZW-like actions. On the
basis of the procedure proposed in arXiv:1505.01659, we show that our new
WZW-like actions are completely equivalent to actions
proposed in arXiv:1403.0940 respectively.Comment: 23+21 pages; Published ve
Light-cone reduction of Witten's open string field theory
We elucidate some exact relations between light-cone and covariant string
field theories on the basis of the homological perturbation lemma for
. The covariant string field splits into the light-cone string
field and trivial excitations of BRST quartets: The latter generates the gauge
symmetry and covariance. We first show that the reduction of gauge degrees can
be performed by applying the lemma, which gives a refined version of the
no-ghost theorem of covariant strings. Then, we demonstrate that after the
reduction, gauge-fixed theory can be regarded as a kind of effective field
theory and it provides an exact gauge-fixing procedure taking into account
interactions. As a result, a novel light-cone string field theory is obtained
from Witten's open string field theory.Comment: Published version: section3.4 refined, 20 + 6 page
Perturbative path-integral of string field and the structure of the BV master equation
The perturbative path-integral gives a morphism of the (quantum) structure intrinsic to each quantum field theory, which we show explicitly
on the basis of the homological perturbation. As is known, in the BV formalism,
any effective action also solves the BV master equation, which implies that the
path-integral can be understood as a morphism of the BV differential. Since
each solution of the BV master equation is in one-to-one correspondence with a
(quantum) structure, the path-integral preserves this intrinsic
structure of quantum field theory, where reduces to
whenever multiplications of space-time fields are graded
commutative. We apply these ideas to string field theory and (re-)derive some
quantities based on the perturbative path-integral, such as effective theories
with finite , reduction of gauge and unphysical degrees,
-matrix and gauge invariant observables.Comment: 41 pages, appendix adde
On the BV formalism of open superstring field theory in the large Hilbert space
We construct several BV master actions for open superstring field theory in
the large Hilbert space. First, we show that a naive use of the conventional BV
approach breaks down at the third order of the antifield number expansion,
although it enables us to define a simple "string antibracket" taking the
Darboux form as space-time antibrackets. This fact implies that in the large
Hilbert space, "string fields-antifields" should be reassembled to obtain
master actions in a simple manner. We determine the assembly of the string
antifields on the basis of Berkovits' constrained BV approach, and give
solutions to the master equation defined by Dirac antibrackets on the
constrained string field-antifield space. It is expected that partially
gauge-fixing enables us to relate superstring field theories based on the large
and small Hilbert spaces directly: Reassembling string fields-antifields is
rather natural from this point of view. Finally, inspired by these results, we
revisit the conventional BV approach and construct a BV master action based on
the minimal set of string fields-antifields.Comment: 24 + 4 pages; Published ve
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