13.9 QCD Strings and Effective String Theories
Below are some important open problems within string theory. See section Problems for more broadly about quantum gravity.
- What is the precise definition of M-theory or non-perturbative string theory? Will it have the following expected properties? 1) For weak string coupling, it should reduce to perturbative string theories 2) It is manifestly background-independent 3) Its structure is unique and rigid with no possibility to modify
- For specific AdS compactifications, will the above definition reduce to the non-perturbative definitions given by AdS/CFT, thereby proving AdS/CFT? Can that proof be generalized to spacetimes that aren’t asymptotically AdS?
- Finding de Sitter vacua and top-down de Sitter holography or proving that de Sitter is inconsistent with string theory.
- Making concrete, testable predictions related to either particle phenomenology or cosmology.
- What is the quantum spacetime in string theory, and when does it start showing up? Near the string, or Planck scale, or species scale? Is it noncommutative geometry or the other approaches mentioned in otherNG? Is it related to DFT DFT? See also [1]<ol><li>Mariño</li><li>Martinec</li><li>Seiberg:2006wf</li><li>Horowitz:2004rn</li></ol>.
- Understanding black hole singularities, initial singularities, and causality within string theory. Do conjectures like “cosmic censorship” and “chronology protection” hold true within string theory? String theory is often well-behaved at naked singularities. Is there any version of cosmic censorship conjecture that is consistent with string theory?
- Is the superstring weakly coupled? [2]<ol><li>Dine:1985he</li></ol>
- Understanding QFT more properly using knowledge from string theory. Example: Developing techniques to understand interacting $6D$ SCFTs that might not have a Lagrangian description. See section 6D.
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