Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.687 | 0.8822 | 0.7787 | [M:[1.051, 0.8759, 1.1241, 0.8029, 1.1971, 0.7299, 0.7884, 0.7154], q:[0.511, 0.438], qb:[0.3649, 0.7591], phi:[0.4817]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$ | ${}$ | -1 | t^2.146 + t^2.19 + t^2.365 + t^2.409 + t^2.628 + t^2.89 + t^3.153 + t^3.372 + t^3.591 + 2*t^4.073 + 2*t^4.292 + t^4.336 + t^4.379 + 2*t^4.511 + 2*t^4.555 + t^4.598 + t^4.73 + 2*t^4.774 + 2*t^4.817 + t^4.993 + 2*t^5.037 + t^5.08 + 2*t^5.256 + 2*t^5.299 + t^5.343 + 3*t^5.518 + t^5.562 + 2*t^5.737 + 2*t^5.781 + t^5.956 - t^6. + t^6.044 + 2*t^6.263 + t^6.306 + 3*t^6.438 + 3*t^6.482 + 2*t^6.525 + t^6.569 + 3*t^6.657 + 4*t^6.701 + 2*t^6.744 + t^6.788 + 2*t^6.876 + 4*t^6.92 + 4*t^6.963 + t^7.007 + t^7.096 + 3*t^7.139 + 3*t^7.183 + 2*t^7.226 + t^7.27 + t^7.358 + 3*t^7.402 + 4*t^7.445 + 2*t^7.489 + t^7.532 + t^7.621 + 5*t^7.664 + 3*t^7.708 + t^7.751 + 4*t^7.883 + 2*t^7.927 + 2*t^7.97 + 2*t^8.103 + 2*t^8.146 + t^8.233 + t^8.322 - t^8.365 + 3*t^8.452 + t^8.496 + 3*t^8.584 + 5*t^8.671 + 2*t^8.715 + t^8.758 + 5*t^8.803 + 3*t^8.847 + 3*t^8.89 + 3*t^8.934 + t^8.977 - t^4.445/y - t^6.591/y - t^6.635/y - t^6.81/y + t^7.292/y + t^7.511/y + (3*t^7.555)/y + (2*t^7.774)/y + t^7.817/y + t^7.993/y + (2*t^8.037)/y + (2*t^8.08)/y + (2*t^8.256)/y + (3*t^8.299)/y + t^8.343/y + (3*t^8.518)/y + (2*t^8.562)/y + t^8.737/y + (2*t^8.781)/y - t^8.824/y - t^4.445*y - t^6.591*y - t^6.635*y - t^6.81*y + t^7.292*y + t^7.511*y + 3*t^7.555*y + 2*t^7.774*y + t^7.817*y + t^7.993*y + 2*t^8.037*y + 2*t^8.08*y + 2*t^8.256*y + 3*t^8.299*y + t^8.343*y + 3*t^8.518*y + 2*t^8.562*y + t^8.737*y + 2*t^8.781*y - t^8.824*y | g1^16*t^2.146 + t^2.19/g1^34 + g1^40*t^2.365 + t^2.409/g1^10 + g1^14*t^2.628 + t^2.89/g1^12 + t^3.153/g1^38 + t^3.372/g1^14 + g1^10*t^3.591 + 2*g1^8*t^4.073 + 2*g1^32*t^4.292 + t^4.336/g1^18 + t^4.379/g1^68 + 2*g1^56*t^4.511 + 2*g1^6*t^4.555 + t^4.598/g1^44 + g1^80*t^4.73 + 2*g1^30*t^4.774 + (2*t^4.817)/g1^20 + g1^54*t^4.993 + 2*g1^4*t^5.037 + t^5.08/g1^46 + 2*g1^28*t^5.256 + (2*t^5.299)/g1^22 + t^5.343/g1^72 + 3*g1^2*t^5.518 + t^5.562/g1^48 + 2*g1^26*t^5.737 + (2*t^5.781)/g1^24 + g1^50*t^5.956 - t^6. + t^6.044/g1^50 + (2*t^6.263)/g1^26 + t^6.306/g1^76 + 3*g1^48*t^6.438 + (3*t^6.482)/g1^2 + (2*t^6.525)/g1^52 + t^6.569/g1^102 + 3*g1^72*t^6.657 + 4*g1^22*t^6.701 + (2*t^6.744)/g1^28 + t^6.788/g1^78 + 2*g1^96*t^6.876 + 4*g1^46*t^6.92 + (4*t^6.963)/g1^4 + t^7.007/g1^54 + g1^120*t^7.096 + 3*g1^70*t^7.139 + 3*g1^20*t^7.183 + (2*t^7.226)/g1^30 + t^7.27/g1^80 + g1^94*t^7.358 + 3*g1^44*t^7.402 + (4*t^7.445)/g1^6 + (2*t^7.489)/g1^56 + t^7.532/g1^106 + g1^68*t^7.621 + 5*g1^18*t^7.664 + (3*t^7.708)/g1^32 + t^7.751/g1^82 + 4*g1^42*t^7.883 + (2*t^7.927)/g1^8 + (2*t^7.97)/g1^58 + 2*g1^66*t^8.103 + 2*g1^16*t^8.146 + t^8.233/g1^84 + g1^90*t^8.322 - g1^40*t^8.365 + (3*t^8.452)/g1^60 + t^8.496/g1^110 + 3*g1^64*t^8.584 + (5*t^8.671)/g1^36 + (2*t^8.715)/g1^86 + t^8.758/g1^136 + 5*g1^88*t^8.803 + 3*g1^38*t^8.847 + (3*t^8.89)/g1^12 + (3*t^8.934)/g1^62 + t^8.977/g1^112 - t^4.445/(g1^6*y) - (g1^10*t^6.591)/y - t^6.635/(g1^40*y) - (g1^34*t^6.81)/y + (g1^32*t^7.292)/y + (g1^56*t^7.511)/y + (3*g1^6*t^7.555)/y + (2*g1^30*t^7.774)/y + t^7.817/(g1^20*y) + (g1^54*t^7.993)/y + (2*g1^4*t^8.037)/y + (2*t^8.08)/(g1^46*y) + (2*g1^28*t^8.256)/y + (3*t^8.299)/(g1^22*y) + t^8.343/(g1^72*y) + (3*g1^2*t^8.518)/y + (2*t^8.562)/(g1^48*y) + (g1^26*t^8.737)/y + (2*t^8.781)/(g1^24*y) - t^8.824/(g1^74*y) - (t^4.445*y)/g1^6 - g1^10*t^6.591*y - (t^6.635*y)/g1^40 - g1^34*t^6.81*y + g1^32*t^7.292*y + g1^56*t^7.511*y + 3*g1^6*t^7.555*y + 2*g1^30*t^7.774*y + (t^7.817*y)/g1^20 + g1^54*t^7.993*y + 2*g1^4*t^8.037*y + (2*t^8.08*y)/g1^46 + 2*g1^28*t^8.256*y + (3*t^8.299*y)/g1^22 + (t^8.343*y)/g1^72 + 3*g1^2*t^8.518*y + (2*t^8.562*y)/g1^48 + g1^26*t^8.737*y + (2*t^8.781*y)/g1^24 - (t^8.824*y)/g1^74 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 6111 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{9}$ | 0.676 | 0.8635 | 0.7829 | [M:[1.0386, 0.8805, 1.1195, 0.7996, 1.2004, 0.7187, 0.8015, 0.7206, 1.1195], q:[0.5212, 0.4403], qb:[0.3594, 0.7601], phi:[0.4798]] | t^2.156 + t^2.162 + t^2.399 + t^2.405 + t^2.879 + t^3.116 + 2*t^3.358 + t^3.601 + 2*t^4.081 + t^4.312 + t^4.318 + 2*t^4.324 + t^4.555 + 2*t^4.561 + 2*t^4.566 + t^4.798 + t^4.803 + t^4.809 + t^5.035 + t^5.04 + t^5.272 + 2*t^5.278 + t^5.283 + 2*t^5.515 + 3*t^5.52 + 2*t^5.757 + 3*t^5.763 + t^5.994 - 2*t^6. - t^4.439/y - t^4.439*y | detail | |
| 6109 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{9}$ | 0.6674 | 0.8468 | 0.7881 | [M:[1.0649, 0.8708, 1.1292, 0.8066, 1.1934, 0.7423, 0.7738, 0.7095, 1.2577], q:[0.4997, 0.4354], qb:[0.3712, 0.758], phi:[0.4839]] | t^2.129 + t^2.321 + t^2.42 + t^2.612 + t^2.904 + t^3.195 + t^3.388 + t^3.58 + t^3.773 + 2*t^4.064 + 2*t^4.257 + 2*t^4.45 + t^4.548 + t^4.643 + 2*t^4.741 + t^4.839 + t^4.934 + 2*t^5.032 + 2*t^5.225 + 2*t^5.323 + 3*t^5.516 + 2*t^5.709 + t^5.807 + 2*t^5.902 - t^6. - t^4.452/y - t^4.452*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2518 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6668 | 0.8443 | 0.7898 | [M:[1.0464, 0.8776, 1.1224, 0.8017, 1.1983, 0.7258, 0.7932], q:[0.5147, 0.4388], qb:[0.3629, 0.7595], phi:[0.481]] | t^2.177 + t^2.38 + t^2.405 + t^2.633 + t^2.886 + t^3.139 + t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.355 + t^4.532 + t^4.557 + t^4.582 + t^4.759 + t^4.785 + 2*t^4.81 + t^5.013 + t^5.038 + t^5.063 + 2*t^5.266 + t^5.291 + t^5.317 + 2*t^5.519 + t^5.544 + t^5.747 + 2*t^5.772 + t^5.975 - t^6. - t^4.443/y - t^4.443*y | detail |