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 |
|---|---|---|---|---|---|---|---|---|---|
| 1550 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ | 0.6656 | 0.8379 | 0.7944 | [M:[0.829, 0.829, 0.8652, 0.7928, 1.2072, 0.7928], q:[0.7566, 0.4145], qb:[0.3783, 0.7928], phi:[0.4145]] | [M:[[-4], [-4], [-9], [1], [-1], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | 1 | 2*t^2.378 + 3*t^2.487 + t^2.596 + t^3.513 + t^3.622 + t^3.73 + 2*t^4.648 + 4*t^4.757 + 5*t^4.865 + 7*t^4.974 + 3*t^5.082 + t^5.191 + t^5.783 + t^5.891 + t^6. + 2*t^6.109 + 3*t^6.217 + t^6.326 + t^7.026 + 6*t^7.135 + 8*t^7.243 + 11*t^7.352 + 14*t^7.461 + 7*t^7.569 + 3*t^7.678 + t^7.787 + t^8.161 + t^8.27 - 3*t^8.378 - 2*t^8.487 + 4*t^8.704 + 3*t^8.813 + t^8.921 - t^4.243/y - t^6.622/y - (3*t^6.73)/y - t^6.839/y + t^7.648/y + (4*t^7.757)/y + (7*t^7.865)/y + (5*t^7.974)/y + (3*t^8.082)/y + (2*t^8.891)/y - t^4.243*y - t^6.622*y - 3*t^6.73*y - t^6.839*y + t^7.648*y + 4*t^7.757*y + 7*t^7.865*y + 5*t^7.974*y + 3*t^8.082*y + 2*t^8.891*y | 2*g1*t^2.378 + (3*t^2.487)/g1^4 + t^2.596/g1^9 + g1^4*t^3.513 + t^3.622/g1 + t^3.73/g1^6 + 2*g1^7*t^4.648 + 4*g1^2*t^4.757 + (5*t^4.865)/g1^3 + (7*t^4.974)/g1^8 + (3*t^5.082)/g1^13 + t^5.191/g1^18 + g1^10*t^5.783 + g1^5*t^5.891 + t^6. + (2*t^6.109)/g1^5 + (3*t^6.217)/g1^10 + t^6.326/g1^15 + g1^8*t^7.026 + 6*g1^3*t^7.135 + (8*t^7.243)/g1^2 + (11*t^7.352)/g1^7 + (14*t^7.461)/g1^12 + (7*t^7.569)/g1^17 + (3*t^7.678)/g1^22 + t^7.787/g1^27 + g1^11*t^8.161 + g1^6*t^8.27 - 3*g1*t^8.378 - (2*t^8.487)/g1^4 + (4*t^8.704)/g1^14 + (3*t^8.813)/g1^19 + t^8.921/g1^24 - t^4.243/(g1^2*y) - t^6.622/(g1*y) - (3*t^6.73)/(g1^6*y) - t^6.839/(g1^11*y) + (g1^7*t^7.648)/y + (4*g1^2*t^7.757)/y + (7*t^7.865)/(g1^3*y) + (5*t^7.974)/(g1^8*y) + (3*t^8.082)/(g1^13*y) + (2*g1^5*t^8.891)/y - (t^4.243*y)/g1^2 - (t^6.622*y)/g1 - (3*t^6.73*y)/g1^6 - (t^6.839*y)/g1^11 + g1^7*t^7.648*y + 4*g1^2*t^7.757*y + (7*t^7.865*y)/g1^3 + (5*t^7.974*y)/g1^8 + (3*t^8.082*y)/g1^13 + 2*g1^5*t^8.891*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2627 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6514 | 0.8126 | 0.8016 | [M:[0.841, 0.841, 0.8924, 0.7897, 1.2103, 0.7897, 1.159], q:[0.7384, 0.4205], qb:[0.3692, 0.7897], phi:[0.4205]] | 2*t^2.369 + 2*t^2.523 + t^2.677 + 2*t^3.477 + t^3.631 + t^3.785 + 2*t^4.584 + 4*t^4.738 + 3*t^4.892 + 4*t^5.046 + 2*t^5.2 + t^5.354 + t^5.692 + 3*t^5.846 + 2*t^6. - t^4.262/y - t^4.262*y | detail | |
| 2628 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6567 | 0.8222 | 0.7987 | [M:[0.8639, 0.8639, 0.9437, 0.784, 1.216, 0.784, 1.0563], q:[0.7042, 0.4319], qb:[0.3521, 0.784], phi:[0.4319]] | 2*t^2.352 + 3*t^2.592 + t^3.169 + t^3.408 + t^3.648 + t^3.887 + 2*t^4.465 + 4*t^4.704 + 5*t^4.944 + 5*t^5.183 + 3*t^5.521 + 4*t^5.76 + t^6. - t^4.296/y - t^4.296*y | detail | |
| 2630 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6825 | 0.8676 | 0.7867 | [M:[0.8313, 0.8313, 0.8705, 0.7922, 1.2078, 0.7922, 0.7922], q:[0.753, 0.4157], qb:[0.3765, 0.7922], phi:[0.4157]] | 3*t^2.376 + 3*t^2.494 + t^2.612 + t^3.506 + t^3.741 + 2*t^4.635 + 7*t^4.753 + 8*t^4.871 + 8*t^4.988 + 3*t^5.106 + t^5.223 + t^5.765 + 2*t^5.882 - t^6. - t^4.247/y - t^4.247*y | detail | |
| 2632 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6847 | 0.8722 | 0.785 | [M:[0.8384, 0.8384, 0.8864, 0.7904, 1.2096, 0.7904, 0.7424], q:[0.7424, 0.4192], qb:[0.3712, 0.7904], phi:[0.4192]] | t^2.227 + 2*t^2.371 + 3*t^2.515 + t^2.659 + t^3.485 + t^3.629 + t^4.454 + 4*t^4.598 + 7*t^4.742 + 6*t^4.886 + 7*t^5.03 + 3*t^5.174 + t^5.318 + 2*t^5.712 + 2*t^5.856 + t^6. - t^4.258/y - t^4.258*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 |
|---|---|---|---|---|---|---|---|---|---|
| 986 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6898 | 0.8671 | 0.7956 | [M:[0.9905, 0.7331, 0.8747, 0.8489, 1.1511, 0.7202], q:[0.6429, 0.3665], qb:[0.4824, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |