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 |
|---|---|---|---|---|---|---|---|---|---|
| 197 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.4897 | 0.6147 | 0.7966 | [M:[1.2102, 0.7642], q:[0.3949, 1.2102], qb:[0.3949, 0.4204], phi:[0.3949]] | [M:[[2], [-7]], q:[[-1], [2]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.293 + t^2.369 + 2*t^2.446 + t^3.554 + 2*t^3.631 + t^4.585 + t^4.662 + 2*t^4.739 + 3*t^4.815 + 4*t^4.892 + t^5.847 + t^5.923 - t^6. + 2*t^6.077 + t^6.878 + t^6.955 + 2*t^7.031 + 3*t^7.108 + 2*t^7.185 + 3*t^7.261 + 5*t^7.338 + t^8.139 + t^8.216 - 2*t^8.293 - t^8.369 - 4*t^8.446 + 2*t^8.523 - t^4.185/y - t^6.477/y + t^7.662/y + (2*t^7.739)/y + (2*t^7.815)/y + (2*t^7.892)/y - t^8.77/y + t^8.847/y + (3*t^8.923)/y - t^4.185*y - t^6.477*y + t^7.662*y + 2*t^7.739*y + 2*t^7.815*y + 2*t^7.892*y - t^8.77*y + t^8.847*y + 3*t^8.923*y | t^2.293/g1^7 + t^2.369/g1^2 + 2*g1^3*t^2.446 + t^3.554/g1^3 + 2*g1^2*t^3.631 + t^4.585/g1^14 + t^4.662/g1^9 + (2*t^4.739)/g1^4 + 3*g1*t^4.815 + 4*g1^6*t^4.892 + t^5.847/g1^10 + t^5.923/g1^5 - t^6. + 2*g1^5*t^6.077 + t^6.878/g1^21 + t^6.955/g1^16 + (2*t^7.031)/g1^11 + (3*t^7.108)/g1^6 + (2*t^7.185)/g1 + 3*g1^4*t^7.261 + 5*g1^9*t^7.338 + t^8.139/g1^17 + t^8.216/g1^12 - (2*t^8.293)/g1^7 - t^8.369/g1^2 - 4*g1^3*t^8.446 + 2*g1^8*t^8.523 - t^4.185/(g1*y) - t^6.477/(g1^8*y) + t^7.662/(g1^9*y) + (2*t^7.739)/(g1^4*y) + (2*g1*t^7.815)/y + (2*g1^6*t^7.892)/y - t^8.77/(g1^15*y) + t^8.847/(g1^10*y) + (3*t^8.923)/(g1^5*y) - (t^4.185*y)/g1 - (t^6.477*y)/g1^8 + (t^7.662*y)/g1^9 + (2*t^7.739*y)/g1^4 + 2*g1*t^7.815*y + 2*g1^6*t^7.892*y - (t^8.77*y)/g1^15 + (t^8.847*y)/g1^10 + (3*t^8.923*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 313 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ | 0.4614 | 0.5864 | 0.7868 | [M:[1.1429, 1.0], q:[0.4286, 1.1429], qb:[0.4286, 0.2857], phi:[0.4286]] | 2*t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 2*t^5.143 + 3*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 633/1372, c: 1609/2744, M1: 8/7, M2: 1, q1: 3/7, q2: 8/7, qb1: 3/7, qb2: 2/7, phi1: 3/7} |
| 314 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5056 | 0.6428 | 0.7866 | [M:[1.2033, 0.7886, 0.8049], q:[0.3984, 1.2033], qb:[0.3984, 0.4065], phi:[0.3984]] | t^2.366 + t^2.39 + 3*t^2.415 + 2*t^3.61 + t^4.732 + t^4.756 + 3*t^4.78 + 4*t^4.805 + 7*t^4.829 - 3*t^6. - t^4.195/y - t^4.195*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 |
|---|---|---|---|---|---|---|---|---|---|
| 121 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5427 | 0.6891 | 0.7875 | [M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | t^2.042 + t^2.207 + t^2.639 + t^2.93 + t^3.07 + 2*t^3.361 + t^3.652 + 2*t^4.084 + t^4.249 + t^4.414 + 2*t^4.681 + t^4.846 + t^4.971 + t^5.112 + t^5.137 + t^5.278 + 2*t^5.403 + 2*t^5.568 + t^5.694 + 2*t^5.859 - t^6. - t^4.319/y - t^4.319*y | detail |