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$\kappa$-symmetric M5 brane web for defects in $AdS_7$ / CFT_6 holography
by Varun Gupta
Submission summary
| Authors (as registered SciPost users): | Varun Gupta |
| Submission information | |
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| Preprint Link: | scipost_202506_00002v2 (pdf) |
| Date submitted: | Oct. 4, 2025, 6:15 p.m. |
| Submitted by: | Varun Gupta |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this work, we will continue our analysis of some general probe M5 brane solutions from our previous work in $AdS_7 \times S^4$ spacetime (appeared in arxiv:2109.08551). These are codimension-2 in $AdS_7$ and preserve at least 2 supercharges when the worldvolume 3-form flux field strength is zero. We will turn on the field strength and find that the embedding conditions are modified, excluding certain branes contained in the previous result. The new main result here is very general, so we pick simpler embedding conditions that describe highly symmetric examples that preserve half of the supersymmetry of the 11 dimensions. When the flux field is zero, worldvolumes have $AdS_5 \times S^1$ topology. We turn the flux field value non-zero in these examples and analyze how the shape of the worldvolume deforms as supersymmetry is broken by some additional fractions.
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- Provide a novel and synergetic link between different research areas.
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
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We have added a table in subsection 3.2(table# 1) that describes the intersection of the probe brane worldvolume with the boundary region of $AdS_7$ for the example: $\Phi_1 = 0$; for the instances when the new worldvolume flux is absent and when it is present. Giving a clear idea about the directions in which deformation happens when $h$ is non-zero.
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We have edited subsection 3.5. We have sharpened the comments made in the discussion in 3.5. We have described the features of the dual defects a bit more and their connection to the \textit{rigid} surface defects of Gukov-Witten in reference [4]. Although the discussion in this section is not a proof of the duality with the \textit{rigid} defects, we have highlighted the features that make the basis of our expectations.
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We have reduced the number of steps between equations (3.6) and (3.9). We have only kept two steps before writing the projection condition for the example $\Phi_1 = 0;$$Z_2 = 0;$. The first of those steps is to define the exponential factor $M$ that we use repeatedly in this section. And the second step highlights the location of the brane at $\theta = \pi /2$. We also restructured many equations in this section, which were written ill-formatted manner previously. We have also relegated the detailed calculation of the example $\Phi_2 = 0;$$Z_2 = 0;$, in subsubsection 3.3.1, to a new appendix D.
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We have added a new table($#$2) where we summarise the results of the three half-BPS examples discussed in section 3. In the last two sets of rows of this table, we have also written the summarised results of the general 1/32 BPS solution obtained in section 2, so that a direct comparison can be made between all three examples that descend from the general results of section 2. We have also edited the heading title of subsection 3.2, subsubsections 3.3.1 and 3.3.2, so that their relation with the two conditions in eqn 2.25 becomes more apparent.
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