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 |
|---|---|---|---|---|---|---|---|---|---|
| 58623 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9582 | 1.1533 | 0.8309 | [X:[1.6209, 1.5, 1.5, 1.3791], M:[0.8791], q:[0.1667, 0.2876], qb:[0.2124, 0.3333], phi:[0.5]] | [X:[[-1], [0], [0], [1]], M:[[1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | 2 | 2*t^2.64 + 3*t^3. + t^3.36 + t^3.73 + t^3.77 + 3*t^4.14 + 5*t^4.5 + 3*t^4.86 + t^5.23 + 4*t^5.27 + 4*t^5.64 + 2*t^6. + 3*t^6.41 + 2*t^6.73 + 7*t^6.77 + 2*t^7.09 + 14*t^7.14 + t^7.45 + 15*t^7.5 + t^7.55 + 7*t^7.86 + 6*t^7.91 + 3*t^8.23 + 11*t^8.27 + t^8.59 + 3*t^8.64 + t^8.95 - t^4.5/y - t^6./y - t^7.14/y + t^7.5/y + t^7.86/y + t^8.27/y + (3*t^8.64)/y - t^4.5*y - t^6.*y - t^7.14*y + t^7.5*y + t^7.86*y + t^8.27*y + 3*t^8.64*y | 2*g1*t^2.64 + 3*t^3. + t^3.36/g1 + t^3.73/g1^2 + g1^2*t^3.77 + 3*g1*t^4.14 + 5*t^4.5 + (3*t^4.86)/g1 + t^5.23/g1^2 + 4*g1^2*t^5.27 + 4*g1*t^5.64 + 2*t^6. + 3*g1^3*t^6.41 + (2*t^6.73)/g1^2 + 7*g1^2*t^6.77 + (2*t^7.09)/g1^3 + 14*g1*t^7.14 + t^7.45/g1^4 + 15*t^7.5 + g1^4*t^7.55 + (7*t^7.86)/g1 + 6*g1^3*t^7.91 + (3*t^8.23)/g1^2 + 11*g1^2*t^8.27 + t^8.59/g1^3 + 3*g1*t^8.64 + t^8.95/g1^4 - t^4.5/y - t^6./y - (g1*t^7.14)/y + t^7.5/y + t^7.86/(g1*y) + (g1^2*t^8.27)/y + (3*g1*t^8.64)/y - t^4.5*y - t^6.*y - g1*t^7.14*y + t^7.5*y + (t^7.86*y)/g1 + g1^2*t^8.27*y + 3*g1*t^8.64*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 |
|---|---|---|---|---|---|---|---|---|
| 61207 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.948 | 1.1355 | 0.8349 | [X:[1.6071, 1.5, 1.5, 1.3929], M:[0.8929, 1.1071], q:[0.1667, 0.2738], qb:[0.2262, 0.3333], phi:[0.5]] | t^2.68 + 3*t^3. + 2*t^3.32 + t^3.64 + t^3.86 + 3*t^4.18 + 5*t^4.5 + 3*t^4.82 + t^5.14 + 2*t^5.36 + t^5.68 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | {a: 6795/7168, c: 8139/7168, X1: 45/28, X2: 3/2, X3: 3/2, X4: 39/28, M1: 25/28, M2: 31/28, q1: 1/6, q2: 23/84, qb1: 19/84, qb2: 1/3, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57730 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.9863 | 1.1908 | 0.8283 | [X:[1.4926, 1.5, 1.5, 1.5074], M:[0.7278], q:[0.2599, 0.2525], qb:[0.2475, 0.2401], phi:[0.5]] | t^2.18 + t^2.98 + 3*t^3. + t^3.02 + t^3.68 + t^3.71 + t^3.79 + t^4.37 + 2*t^4.48 + 5*t^4.5 + 2*t^4.52 + t^5.16 + 4*t^5.18 + 2*t^5.21 + t^5.29 + t^5.32 + t^5.87 + t^5.89 + t^5.96 + t^5.98 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |