On type 0 string theory in solvable RR backgrounds

Abstract

Motivated by a possibility of solving non-supersymmetric type 0 string theory in AdS5× S5 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 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 AdS5× S5 with RR 5-form flux and also in the pp-wave background which is the Penrose limit of AdS3× S3× T4 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 in flat space) 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 AdS5× S5.

Integrability treatment of AdS/CFT orbifolds

“…which is the lowest energy mode of the twisted sector in the GS string construction [48,49]. In [53] it was suggested that on the AdS 5 × S 5 background with 5-form flux F 5 the tachyon may get stabilised, with some further evidence provided in [51]. There, we analysed the type 0B string on the pp-wave background that arises in the BMN-limit (J, g → ∞ with J = J g fixed) of AdS 5 × S 5 .…”

“…We can also study type 0 string theory on non-trivial curved and/or fluxed Type II backgrounds, if we find a way to perform a similar orbifolding. In [50,51] an explicit construction using a continuous deformation called Melvin-twist was investigated and applied to pp-wave backgrounds. For AdS 5 × S 5 we can use the large amount of symmetry and perform the necessary orbifolding using the techniques we presented above.…”

“…On AdS 5 × S 5 background, however, it was suggested that this tachyon might get stabilised [53]. Some evidence supporting this suggestion has been provided in [51]. In the strong coupling limit the AdS 5 × S 5 space becomes approximately flat and the tachyon is definitely present, so the stabilisation can only occur at finite coupling.…”

“…In more general curved backgrounds with flux a similar orbifolding can be attempted. A geometric construction via Melvin-twist was discussed in [50,51] and can be extended to fluxed backgrounds like the pp-wave spacetime. In AdS 5 × S 5 we can perform the orbifolding procedure by rotating one of the planes in the embedding space of the S 5 .…”

Crosscap States in Integrable Field Theories and Spin Chains

“…Note that the discussion above is focused on the torus partition function, and it would be interesting to generalize it to non-orientable manifolds. That would allow us to study integrable worldsheet theories for unoriented type 0 string (see [80] for a related discussion), for which the existence of eight different GSO projections was pointed out recently [81,82].…”