# Achucarro, Townsend ## A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories \[Links: [DOI](https://doi.org/10.1016/0370-2693(86)90140-1), [Inspire](https://inspirehep.net/literature/21208)\] \[Abstract: We construct the $(p,q)$-type anti-de Sitter (adS) supergravity theories associated with the three-dimensional adS supergroups $OSp(p|2;R)\otimes OSp(q|2;R)$. They are distinguished, for $N=p+q$, by the gravitini mass-matrix, which has signature $p-q$. We show that the action can be written as the integral of the [[0089 Chern-Simons theory|Chern-Simons]] three-form associated with the (adS) supergroup.\] # Bombelli, Koul, Lee, Sorkin ## Quantum source of entropy for BHs \[Links: [inspire](https://inspirehep.net/literature/228355)\] \[Abstract: \] ## Comments - original ref for including quantum corrections to BH entropy ## Refs - [[0082 Generalised second law]] ## Idea - since the exterior of BH is autonomous, reduced entropy on this region has a well-defined evolution in time - n.b. this evolution may not be unitary # Cardy ## Operator Content of Two-Dimensional Conformally Invariant Theories \[Links: [Inspire](https://inspirehep.net/literature/232845)\] \[Abstract: It is shown how [[0028 Conformal symmetry|conformal invariance]] relates many numerically accessible properties of the transfer matrix of a critical system in a finite-width infinitely long strip to bulk universal quantities. Conversely, general properties of the transfer matrix imply constraints on the allowed operator content of the theory. We show that unitary theories with a finite number of primary operators must have a conformal anomaly number $c < 1$, and therefore must fall into the classification of Friedan, Qiu and Shenker. For such theories, we derive sum rules which constrain the numbers of operators with given scaling dimensions.\] # Goddard, Olive (Review) ## KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS \[Links: [DOI](https://doi.org/10.1142/S0217751X86000149)\] # Narain ## New Heterotic String Theories in Uncompactified Dimensions lt;$ 10 \[Links: [Inspire](https://inspirehep.net/literature/219834)] \[Abstract: It is shown that infinitely many heterotic string theories exist in uncompactified dimensions less than $10$, that are one-loop finite (for massless external legs). Tachyons are removed by compactifying into tori ($10 − d$) and ($26 − d$) dimensions of the right-moving superstring and left-moving bosonic string sectors, respectively. The condition for modular invariance is shown to be equivalent to self-duality condition on even lorentzian lattices with ($10 − d$) and ($26 − d$) timelike and spacelike directions, respectively. The construction results in a $(10 − d )(26 − d )$ parameter family of one-loop finite string theories. The zero mass sector of these theories for $d = 4$ and $6$ correspond to $N = 4$ and $2$ supergravity coupled to super Yang-Mills with many possible groups, some of which cannot be obtained by compactifying $d = 10$ heterotic string theory..\] # Wheeler ## Symmetric solutions to the Gauss-Bonnet extended Einstein equations \[Links: [DOI](https://doi.org/10.1016/0550-3213(86)90268-3)\] \[Abstract: Low-energy limits of string theories suggest that gravity lagrangians should include quadratic and higheorder curvature terms, in the form of dimensionally continued [[0425 Gauss-Bonnet gravity|Gauss-Bonnet]] densities. In an arbitrary number of dimensions, we consider the static, spherically symmetric solutions to the lowest order Gauss-Bonnet extended Einstein equations. We also find isotropic, homogeneous cosmological solutions with an ideal fluid source.\] ## Summary - one of the original papers on finding the spherically symmetric solution in GB gravity (independently by [[1985#Boulware, Deser]]) # Zamolodchikov ## Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory \[Links: [Inspire](https://inspirehep.net/literature/240292)\] ## Summary - origin of [[0351 Irreversibility theorems|c-theorem]]