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 |
|---|---|---|---|---|---|---|---|---|---|
| 253 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6567 | 0.8429 | 0.7791 | [M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]] | [M:[[2], [-4], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0 | t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 + 3*t^6.063 + 4*t^6.127 + t^6.19 + t^6.253 + 2*t^6.458 + 6*t^6.521 + 2*t^6.584 + 2*t^6.648 + 2*t^6.916 + 4*t^6.979 + 6*t^7.042 + t^7.106 + t^7.169 + 2*t^7.437 + 4*t^7.5 + 8*t^7.563 + 4*t^7.627 + 2*t^7.69 + 2*t^7.958 + t^8.021 + 7*t^8.084 + 3*t^8.148 + 4*t^8.211 + t^8.274 + t^8.338 + 2*t^8.416 - 2*t^8.479 + 4*t^8.542 + 6*t^8.606 + 2*t^8.669 + 2*t^8.732 + 3*t^8.937 - t^4.5/y - t^6.521/y - t^6.584/y + t^7.042/y + t^7.106/y + (2*t^7.5)/y + (2*t^7.563)/y + t^8.021/y + t^8.084/y + t^8.416/y + (5*t^8.479)/y + (3*t^8.542)/y + t^8.606/y - t^8.669/y + (4*t^8.937)/y - t^4.5*y - t^6.521*y - t^6.584*y + t^7.042*y + t^7.106*y + 2*t^7.5*y + 2*t^7.563*y + t^8.021*y + t^8.084*y + t^8.416*y + 5*t^8.479*y + 3*t^8.542*y + t^8.606*y - t^8.669*y + 4*t^8.937*y | t^2.021/g1 + t^2.084/g1^4 + 2*g1*t^2.479 + t^3. + 2*g1^2*t^3.458 + (2*t^3.521)/g1 + g1*t^3.979 + (4*t^4.042)/g1^2 + t^4.106/g1^5 + t^4.169/g1^8 + 2*t^4.5 + (2*t^4.563)/g1^3 + 3*g1^2*t^4.958 + t^5.021/g1 + t^5.084/g1^4 + 4*g1*t^5.479 + (4*t^5.542)/g1^2 + (2*t^5.606)/g1^5 + 2*g1^3*t^5.937 + (3*t^6.063)/g1^3 + (4*t^6.127)/g1^6 + t^6.19/g1^9 + t^6.253/g1^12 + 2*g1^2*t^6.458 + (6*t^6.521)/g1 + (2*t^6.584)/g1^4 + (2*t^6.648)/g1^7 + 2*g1^4*t^6.916 + 4*g1*t^6.979 + (6*t^7.042)/g1^2 + t^7.106/g1^5 + t^7.169/g1^8 + 2*g1^3*t^7.437 + 4*t^7.5 + (8*t^7.563)/g1^3 + (4*t^7.627)/g1^6 + (2*t^7.69)/g1^9 + 2*g1^2*t^7.958 + t^8.021/g1 + (7*t^8.084)/g1^4 + (3*t^8.148)/g1^7 + (4*t^8.211)/g1^10 + t^8.274/g1^13 + t^8.338/g1^16 + 2*g1^4*t^8.416 - 2*g1*t^8.479 + (4*t^8.542)/g1^2 + (6*t^8.606)/g1^5 + (2*t^8.669)/g1^8 + (2*t^8.732)/g1^11 + 3*g1^3*t^8.937 - t^4.5/y - t^6.521/(g1*y) - t^6.584/(g1^4*y) + t^7.042/(g1^2*y) + t^7.106/(g1^5*y) + (2*t^7.5)/y + (2*t^7.563)/(g1^3*y) + t^8.021/(g1*y) + t^8.084/(g1^4*y) + (g1^4*t^8.416)/y + (5*g1*t^8.479)/y + (3*t^8.542)/(g1^2*y) + t^8.606/(g1^5*y) - t^8.669/(g1^8*y) + (4*g1^3*t^8.937)/y - t^4.5*y - (t^6.521*y)/g1 - (t^6.584*y)/g1^4 + (t^7.042*y)/g1^2 + (t^7.106*y)/g1^5 + 2*t^7.5*y + (2*t^7.563*y)/g1^3 + (t^8.021*y)/g1 + (t^8.084*y)/g1^4 + g1^4*t^8.416*y + 5*g1*t^8.479*y + (3*t^8.542*y)/g1^2 + (t^8.606*y)/g1^5 - (t^8.669*y)/g1^8 + 4*g1^3*t^8.937*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 |
|---|---|---|---|---|---|---|---|---|
| 404 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.525 | 0.6875 | 0.7636 | [M:[0.9, 1.2, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 21/40, c: 11/16, M1: 9/10, M2: 6/5, M3: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
| 405 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956, 0.6739, 1.3261], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 406 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6776 | 0.8842 | 0.7663 | [M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]] | 2*t^2.021 + t^2.082 + 2*t^2.479 + t^3. + 2*t^3.459 + 2*t^3.521 + 6*t^4.041 + 2*t^4.103 + t^4.164 + 4*t^4.5 + 2*t^4.562 + 3*t^4.959 + 2*t^5.021 + t^5.082 + 6*t^5.479 + 6*t^5.541 + 2*t^5.603 + 2*t^5.938 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1757 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6717 | 0.8683 | 0.7736 | [M:[1.1457, 0.7086, 0.6771, 0.8229], q:[0.75, 0.4271], qb:[0.4271, 0.3957], phi:[0.5]] | t^2.031 + t^2.126 + 3*t^2.469 + t^3. + 2*t^3.437 + t^3.531 + t^3.969 + 4*t^4.063 + t^4.157 + t^4.251 + 3*t^4.5 + 3*t^4.594 + 6*t^4.937 + t^5.031 + t^5.126 + 5*t^5.469 + 3*t^5.563 + t^5.657 + 4*t^5.906 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 160 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6567 | 0.843 | 0.7791 | [M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]] | t^2.019 + t^2.085 + t^2.476 + t^2.481 + t^3. + 2*t^3.458 + t^3.519 + t^3.524 + t^3.976 + 2*t^4.037 + t^4.042 + t^4.048 + t^4.103 + t^4.169 + t^4.495 + t^4.5 + t^4.561 + t^4.566 + t^4.952 + t^4.958 + t^4.963 + t^5.019 + t^5.085 + 3*t^5.476 + t^5.481 + t^5.537 + 3*t^5.542 + t^5.603 + t^5.609 + t^5.934 + t^5.939 + t^5.995 - t^6. - t^4.5/y - t^4.5*y | detail |