CUChristoph F. Uhlemann

Christoph F. Uhlemann

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Christoph F. Uhlemann has a total of 40 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Exact solutions to complex Type IIB supergravity for complex superalgebra F (4) and its real forms

    by Eric D’HOker, Michael Gutperle, Christoph F. Uhlemann

    A bstract: We construct the general local solutions to complexified Type IIB supergravity which are invariant under the complexified Lie superalgebra F (4). The geometry is a product of complexified maximally symmetric spaces $$ {\mathcal{M}}_{6\mathbb{C}} $$ M 6 ℂ and $$ {\mathcal{M}}_{2\mathbb{C}} $$ M 2 ℂ warped over a complexified surface Σ ℂ . We classify the reality conditions that may be imposed consistently to obtain real form solutions within real forms of complex Type IIB supergravity. The latter comprise standard Type IIB, Type IIB ⋆ and IIB ′ , as well as theories with 3, 5, 7 and 9 time-like directions. Our classification of real solutions is consistent with and exhausts the real forms of F (4), whose classification we confirm by elementary methods. The geometry of each real form solution is a product of real maximally symmetric spaces $$ {\mathcal{M}}_6 $$ M 6 and $$ {\mathcal{M}}_2 $$ M 2 warped over a Riemann surface Σ, with various signatures. The real solutions include, among others, known AdS 6 × S 2 × Σ and AdS 2 × S 6 × Σ solutions to standard Type IIB as well as new solutions of the form dS 1,5 × S 2 × Σ in Type IIB ⋆ . There are no real forms of the complex solutions with $$ \mathbf{\mathfrak{so}}\left(7;\mathbb{R}\right) $$ so 7 ℝ ⨁ $$ \mathbf{\mathfrak{so}}\left(3;\mathbb{R}\right) $$ so 3 ℝ symmetry. We discuss the relevance of the complex solutions, and of analytic continuations from dS 1,5 × S 2 × Σ to S 6 × S 2 × Σ within complex Type IIB, in connection with holography for the polarized IKKT model.


  • Open Access

    Resolving BCFT bulk-cone singularities in braneworlds and top-down holography

    by Dongming He, Christoph F. Uhlemann

    A bstract: Two-point functions in BCFTs exhibit characteristic singularities compared to standard CFTs due to reflected light cones. In holographic BCFTs, further singularities, which need not be related to reflected light cones within the BCFT, can arise when the insertion points are connected by bulk null geodesics. The resulting ‘bulk-cone singularities’ are expected to be an artifact of the ‘t Hooft limit and should be resolved in string theory. In this work we demonstrate the resolution of bulk-cone singularities in braneworld BCFT duals, where bulk-cone singularities arise from geodesics reflected off the end-of-the-world brane. We show that the geometry near the null geodesics is described by a pp-wave of shockwave form and incroporate string theory corrections, which bounds the two-point functions. We extend this discussion to top-down holography for D1/D5 BCFTs.

  • Open Access

    Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms

    by Eric D'Hoker, Michael Gutperle, Christoph F. Uhlemann

    We construct the general local solutions to complexified Type IIB supergravity which are invariant under the complexified Lie superalgebra $F(4)$. The geometry is a product of complexified maximally symmetric spaces $\mathcal M_{6 {\mathbb C}}$ and $\mathcal M_{2 {\mathbb C}}$ warped over a complexified surface $Σ_{\mathbb C}$. We classify the reality conditions that may be imposed consistently to obtain real form solutions within real forms of complex Type IIB supergravity. The latter comprise standard Type IIB, Type IIB$^\star$ and IIB$^\prime$, as well as theories with $3$, $5$, $7$ and $9$ time-like directions. Our classification of real solutions is consistent with and exhausts the real forms of $F(4)$, whose classification we confirm by elementary methods. The geometry of each real form solution is a product of real maximally symmetric spaces $\mathcal M_6$ and $\mathcal M_2$ warped over a Riemann surface $Σ$, with various signatures. The real solutions include, among others, known $AdS_6 \times S^2 \times Σ$ and $AdS_2 \times S^6 \times Σ$ solutions to standard Type IIB as well as new solutions of the form $dS_{1,5}\times S^2 \times Σ$ in Type IIB$^\star$. There are no real forms of the complex solutions with $\mathfrak{so} (7;{\mathbb R}) \oplus \mathfrak{so} (3;{\mathbb R})$ symmetry. We discuss the relevance of the complex solutions, and of analytic continuations from $dS_{1,5}\times S^2\timesΣ$ to $S^6\times S^2\timesΣ$ within complex Type IIB, in connection with holography for the polarized IKKT model.

  • Open Access

    One-point functions for doubly-holographic BCFTs and backreacting defects

    by Dongming He, Christoph F. Uhlemann

    We derive one-point functions in 4d $$ \mathcal{N} $$ N = 4 SYM with $$ \frac{1}{2} $$ 1 2 -BPS boundaries, defects and interfaces which host large numbers of defect degrees of freedom. The theories are engineered by Gaiotto-Witten D3/D5/NS5 brane setups with large numbers of D5 and NS5 branes, and have holographic duals with fully backreacted 5-branes. They include BCFTs with 3d SCFTs on the boundary which allow for the notion of double holography, as well as D3/D5 defects and interfaces with large numbers of D5-branes. Through a combination of supersymmetric localization and holography we derive one-point functions for 4d chiral primary operators.


  • Open Access

    BMN-like sectors in 4d $ \mathcal{N} $ = 4 SYM with boundaries and interfaces

    by Andrea Chaney, Christoph F. Uhlemann

    A bstract: 4d $$ \mathcal{N} $$ N = 4 SYM admits half-BPS boundaries, defects and interfaces as well as compactifications to 3d $$ \mathcal{N} $$ N = 4 SCFTs, realized as intersections of D3, D5 and NS5 branes. We explore operators with large R-charge. We identify Penrose limits in the holographic duals with geometry AdS 4 × S 2 × S 2 × Σ, which describe, for each theory, a spectrum of ‘seed’ operators which each give rise to a BMN-like sector described by a pp-wave. We relate the number of BMN-like sectors to the flavor symmetry of the CFT. For a sample of theories including the Janus interface, D3/D5 BCFTs and BCFTs with 3d SCFTs on the boundary, we determine the spectra of nearby operators and discuss the field theory realization of the seed operators. We further identify families of Penrose limits which give rise to more general pp-wave sectors.


  • Open Access

    Solving $ \mathcal{N} $ = 4 SYM BCFT matrix models at large N

    by Dongming He, Christoph F. Uhlemann

    A bstract: Many observables in 4d $$ \mathcal{N} $$ N = 4 SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of the gauge symmetry on the boundary or as explicit boundary degrees of freedom, leading to non-trivial matrix models. We derive the saddle points dominating these matrix models at large N , expressed in terms of generalized Lambert W-functions. In string theory the BCFTs are realized by D3-branes ending on D5 and NS5 branes. We independently derive the saddle points from the holographic duals with AdS 4 ×S 2 ×S 2 ×Σ geometry and provide precision tests of the dualities.


  • Open Access

    BMN-like sectors in 4d $\mathcal N=4$ SYM with boundaries and interfaces

    by Andrea Chaney, Christoph F. Uhlemann

    4d $\mathcal N=4$ SYM admits half-BPS boundaries, defects and interfaces as well as compactifications to 3d $\mathcal N\,{=}\,4$ SCFTs, realized as intersections of D3, D5 and NS5 branes. We explore operators with large R-charge. We identify Penrose limits in the holographic duals with geometry $\rm AdS_4\times S^2\times S^2\timesΣ$, which describe, for each theory, a spectrum of `seed' operators which each give rise to a BMN-like sector described by a pp-wave. We relate the number of BMN-like sectors to the flavor symmetry of the CFT. For a sample of theories including the Janus interface, D3/D5 BCFTs and BCFTs with 3d SCFTs on the boundary, we determine the spectra of nearby operators and discuss the field theory realization of the seed operators. We further identify families of Penrose limits which give rise to more general pp-wave sectors.

  • Open Access

    Binary AdS black holes coupled to a bath in Type IIB

    by Evan Deddo, Leopoldo A.PAndo Zayas, Christoph F. Uhlemann

    We construct Type IIB string theory setups which, via double holography, realize two gravitational systems in separate AdS spaces which interact with each other and with a non-gravitational bath. We employ top-down string theory solutions with concrete field theory duals in the form of 4d $$\mathcal{N}$$ = 4 SYM BCFTs and a first-principles notion of double holography. The setups are used to realize pairs of ‘near’ and ‘far’ black holes from the perspective of the bath, which exchange Hawking radiation with each other and radiate into the bath. We identify three phases for the entropy in the bath characterized as no island, partial island and full island, and discuss the entropy curves. The setups differ from the black hole binaries observed in gravitational wave experiments but may capture certain aspects.


  • Open Access

    AdS6/CFT5 with O7-planes

    by Christoph F. Uhlemann

    Type IIB AdS6 solutions with orientifold 7-planes are constructed. The geometry is a warped product of AdS6 and S2 over a Riemann surface Σ and the O7-planes correspond to a particular type of puncture on Σ. The solutions are identified as near- horizon limits of (p, q) 5-brane webs with O7-planes. The dual 5d SCFTs have relevant deformations to linear quiver gauge theories which have SO(·) or USp(·) nodes or SU(·) nodes with hypermultiplets in symmetric or antisymmetric representations, in addition to SU(·) nodes with fundamental hypermultiplets. The S5 free energies are obtained holographically and matched to field theory computations using supersymmetric localization to support the proposed dualities.


  • Open Access

    Exact results for 5d SCFTs of long quiver type

    by Christoph F. Uhlemann

    Exact results are derived for 5d SCFTs with holographic duals in Type IIB supergravity. These theories have relevant deformations that flow to linear quiver gauge theories, with the number of nodes large in the large-N limits described by supergravity. Starting from a suitable formulation of the matrix models resulting from supersymmetric localization of the squashed S5 partition functions, the saddle point equations are solved for generic quivers with Nf = 2N at all interior nodes, which includes the TN theories, and for a sample of theories with Nf ≠ 2N nodes including theories with Chern-Simons terms. The resulting exact expressions for the free energies and conformal central charges are consistent with supergravity predictions and, where available, with previous numerical field theory analyses.