Abstract We discuss the AdS 3 / CFT 2 duality of a heterotic three-charge model with ( 0 , 4 ) target space supersymmetry. The worldsheet theory for heterotic strings on the AdS 3 × S 3 / Z N × T 4 near-horizon geometry was constructed by Kutasov et al. [D. Kutasov, F. Larsen, R.G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550 (1999) 183, hep-th/9812027 ]. We propose that the dual conformal field theory is given by a two-dimensional ( 0 , 4 ) sigma model arising on the Higgs branch of an orbifolded ADHM model. As a non-trivial consistency check of the correspondence, we find that the left- and right-moving central charges of the infrared conformal field theory agree with those predicted by the worldsheet model. Moreover, using the entropy function formalism, we show that to next-to-leading order the central charge can also be obtained from an α ′ -corrected supergravity theory.
Abstract Starting from the N =2 SYM 4 quiver theory living on wrapped N i D5-branes around S i 2 spheres of deformed ADE fibered Calabi–Yau threefolds (CY3) and considering deformations using massive vector multiplets, we explicitly build a new class of N =1 quiver gauge theories. In these models, the quiver gauge group ∏ i U ( N i ) is spontaneously broken down to ∏ i SU ( N i ) and Kahler deformations are shown to be given by the real part of the integral (2,1) form of CY3. We also give the superfield correspondence between the N =1 quiver gauge models derived here and those constructed by Cachazo et al. [ hep-th/0108120 ] using complex deformations. Other aspects of these two dual N =1 supersymmetric field theories are discussed.
Abstract Motivated by the work of Klebanov and Polyakov [ hep-th/0210114 ] on the relationship of the large N O ( N ) vector model in three-dimensions to AdS4 and higher spin representations, we attempt to find analogous connections for AdS5. Since the usual O ( N ) vector model in four-dimensions is inconsistent, we consider the (consistent) large N gauged vector model and a N = 1 supersymmetric analogue in four-dimensions. Both these theories have UV and IR fixed points, and are candidates for a ( α ′ ) − 1 expansion in AdS5, a conjectured AdS5/CFT correspondence and higher-spin representations in the bulk theory.
In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of Cardy's formula for conformal field theories (CFT). We find that the graviton's Casimir effect is necessary in order not to violate Verlinde's bound for weakly coupled CFT. We also comment on the implication of this new Cardy's formula to the thermodynamics of black $p$-brane.
In our previous paper (hep-th/9911087), we proposed a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its cartesian products. In this paper after a review of that work, we bring out its relationship to the Ginsparg-Wilson approach.
In hep-th/9805025, a result for the symmetric 3-loop massive tetrahedron in 3 dimensions was found, using the lattice algorithm PSLQ. Here we give a more general formula, involving 3 distinct masses. A proof is devised, though it cannot be accounted as a derivation; rather it certifies that an Ansatz found by PSLQ satisfies a more easily derived pair of partial differential equations. The result is similar to Schlafli's formula for the volume of a bi-rectangular hyperbolic tetrahedron, revealing a novel connection between 3-loop diagrams and 1-loop boxes. We show that each reduces to a common basis: volumes of ideal tetrahedra, corresponding to 1-loop massless triangle diagrams. Ideal tetrahedra are also obtained when evaluating the volume complementary to a hyperbolic knot. In the case that the knot is positive, and hence implicated in field theory, ease of ideal reduction correlates with likely appearance in counterterms. Volumes of knots relevant to the number content of multi-loop diagrams are evaluated; as the loop number goes to infinity, we obtain the hyperbolic volume of a simple 1-loop box.
In this thesis my papers hep-th/0104190, hep-th/0310214, hep-th/0405072 and hep-th/0406065 are put into context. The thesis is mainly focused on noncommutative field theory and string theory, so results in the papers that are not related to this main theme are not discussed in detail. The thesis is almost selfcontained and in particular the first chapter might be useful as an introduction to non(anti)commutative geometry and its relation to superstring theory for beginners in the field. The following chapters also contain some review material that is not present in the papers, concerning some selected topics in the theory of integrable models and a discussion of the main features of the pure spinor approach to superstrings. The thesis was handed in in October 2004, so the bibliography only refers to work appeared on the web before this date.
Gregory and Laflamme (hep-th/9301052) have argued that an instability causes the Schwarzschild black string to break up into disjoint black holes. On the other hand, Horowitz and Maeda (arXiv:hep-th/0105111) derived bounds on the rate at which the smallest sphere can pinch off, showing that, if it happens at all, such a pinch-off can occur only at infinite affine parameter along the horizon. An interesting point is that, if a singularity forms, such an infinite affine parameter may correspond to a finite advanced time--which is in fact a more appropriate notion of time at infinity. We argue below that pinch-off at a finite advanced time is in fact a natural expectation under the bounds derived by Horowitz and Maeda.
We discuss spectra of $AdS_3$ supergravities, arising in the near horizon geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16 supercharges. These include models studied in a recent paper (hep-th/0012118), where the group action involves also a shift along a transversal circle, as well as IIB/$\Omega I_4$, which is dual to IIB on $K3$. After appropriate assignements of the orbifold group eigenvalues and degrees to the supergravity single particle spectrum, we compute the supergravity elliptic genus and find agreement, in the expected regime of validity, with the elliptic genus obtained using U-duality map from (4,4) CFTs of U-dual backgrounds. Since this U-duality involves the exchange of KK momentum $P$ and D1 charge $N$, it allows us to test the (4,4) CFTs in the $P < N/4$ and $N < P/4$ regimes by two different supergravity duals.
Abstract We further study the correspondence between open semiclassical strings and long defect operators which is discussed in our previous work [Y. Susaki, Y. Takayama, K. Yoshida, hep-th/0410139 ]. We give an interpretation of the spontaneous symmetry breaking of SO ( 6 ) → SO ( 3 ) H × SO ( 3 ) V from the viewpoint of the Riemann surface by following the argument of Minahan. Then we use the concrete form of the resolvent for a single cut solution and compute the anomalous dimension of operators dual to an open pulsating string at three-loop level. In the string side we obtain the energy of the open pulsating string solution by semiclassical analysis. Both results agree at two-loop level but we find a three-loop discrepancy.