On type 0 string theory in solvable RR backgrounds
File(s)
Working Paper
Author(s)
Skrzypek, Torben
Tseytlin, Arkady A
Type
Working Paper
Abstract
Motivated by a possibility of solving non-supersymmetric type 0 string theory
in $AdS_5 \times S^5$ background using integrability, we revisit the
construction of type 0 string spectrum in some solvable examples of backgrounds
with RR fluxes that are common to type IIB and type 0B theories. The presence
of RR fluxes requires the use of a Green-Schwarz description for type 0 string
theory. Like in flat space, the spectrum of type 0 theory can be derived from
the type II theory spectrum by a $(-1)^F$ orbifolding, i.e. combining the
untwisted sector where GS fermions are periodic with the twisted sector where
GS fermions are antiperiodic (and projecting out all spacetime fermionic
states). This construction of the type 0 spectrum may also be implemented using
a Melvin background that allows to continuously interpolate between the type II
and type 0 theories. As an illustration, we discuss the type 0B spectrum in the
pp-wave background which is the Penrose limit of $AdS_5 \times S^5$ with RR
5-form flux and also in the pp-wave background which is the Penrose limit of
$AdS_3 \times S^3 \times T^4$ supported by mixed RR and NSNS 3-form fluxes. We
show that increasing the strength of the RR flux increases the value of the
effective normal ordering constant (which determines the mass of the type 0
tachyon) and thus effectively decreases the momentum-space domain of
instability of the ground state. We also comment on the semiclassical sector of
states of type 0B theory in $AdS_5 \times S^5$.
in $AdS_5 \times S^5$ background using integrability, we revisit the
construction of type 0 string spectrum in some solvable examples of backgrounds
with RR fluxes that are common to type IIB and type 0B theories. The presence
of RR fluxes requires the use of a Green-Schwarz description for type 0 string
theory. Like in flat space, the spectrum of type 0 theory can be derived from
the type II theory spectrum by a $(-1)^F$ orbifolding, i.e. combining the
untwisted sector where GS fermions are periodic with the twisted sector where
GS fermions are antiperiodic (and projecting out all spacetime fermionic
states). This construction of the type 0 spectrum may also be implemented using
a Melvin background that allows to continuously interpolate between the type II
and type 0 theories. As an illustration, we discuss the type 0B spectrum in the
pp-wave background which is the Penrose limit of $AdS_5 \times S^5$ with RR
5-form flux and also in the pp-wave background which is the Penrose limit of
$AdS_3 \times S^3 \times T^4$ supported by mixed RR and NSNS 3-form fluxes. We
show that increasing the strength of the RR flux increases the value of the
effective normal ordering constant (which determines the mass of the type 0
tachyon) and thus effectively decreases the momentum-space domain of
instability of the ground state. We also comment on the semiclassical sector of
states of type 0B theory in $AdS_5 \times S^5$.
Date Issued
2022-02-21
Citation
2022
Publisher
ArXiv
Copyright Statement
©2022 The Author(s)
Identifier
http://arxiv.org/abs/2110.14683v3
Subjects
hep-th
hep-th
Notes
28 pages, 3 figures; v3: minor comments added
Publication Status
Published