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 |
|---|---|---|---|---|---|---|---|---|---|
| 57723 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.9859 | 1.1893 | 0.829 | [X:[1.5, 1.5093, 1.4907, 1.5], M:[0.7454], q:[0.2546, 0.2454], qb:[0.2454, 0.2546], phi:[0.5]] | [X:[[0, -3], [-2, 0], [2, 0], [0, 3]], M:[[1, 0]], q:[[-1, 1], [1, -2]], qb:[[1, 2], [-1, -1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.24 + t^2.97 + 3*t^3. + t^3.03 + 2*t^3.74 + t^3.76 + 3*t^4.47 + 5*t^4.5 + 2*t^4.53 + t^5.21 + 5*t^5.24 + 3*t^5.26 + t^5.94 + 2*t^5.97 + t^6. + t^6.06 + 7*t^6.71 + 8*t^6.74 + 3*t^6.76 + 3*t^6.79 + 3*t^7.44 + 15*t^7.47 + 16*t^7.5 + 8*t^7.53 + 2*t^7.56 + t^8.18 + 2*t^8.21 + 5*t^8.24 + t^8.26 - t^8.29 + t^8.92 + 10*t^8.94 + 8*t^8.97 - t^4.5/y - t^6./y - t^6.74/y + t^7.5/y + t^8.21/y + (2*t^8.24)/y + (2*t^8.26)/y + (2*t^8.97)/y - t^4.5*y - t^6.*y - t^6.74*y + t^7.5*y + t^8.21*y + 2*t^8.24*y + 2*t^8.26*y + 2*t^8.97*y | g1*t^2.24 + g1^2*t^2.97 + t^3. + t^3./g2^3 + g2^3*t^3. + t^3.03/g1^2 + (g1*t^3.74)/g2^3 + g1*g2^3*t^3.74 + t^3.76/g1 + 3*g1^2*t^4.47 + t^4.5 + (2*t^4.5)/g2^3 + 2*g2^3*t^4.5 + (2*t^4.53)/g1^2 + g1^3*t^5.21 + g1*t^5.24 + (2*g1*t^5.24)/g2^3 + 2*g1*g2^3*t^5.24 + (3*t^5.26)/g1 + g1^4*t^5.94 + (g1^2*t^5.97)/g2^3 + g1^2*g2^3*t^5.97 - t^6. + t^6./g2^6 + g2^6*t^6. + t^6.06/g1^4 + 3*g1^3*t^6.71 + (g1^3*t^6.71)/g2^6 + (g1^3*t^6.71)/g2^3 + g1^3*g2^3*t^6.71 + g1^3*g2^6*t^6.71 + (g1*t^6.74)/g2^6 + (3*g1*t^6.74)/g2^3 + 3*g1*g2^3*t^6.74 + g1*g2^6*t^6.74 + (3*t^6.76)/g1 + t^6.79/g1^3 + t^6.79/(g1^3*g2^3) + (g2^3*t^6.79)/g1^3 + 3*g1^4*t^7.44 + 3*g1^2*t^7.47 + (g1^2*t^7.47)/g2^6 + (5*g1^2*t^7.47)/g2^3 + 5*g1^2*g2^3*t^7.47 + g1^2*g2^6*t^7.47 + 8*t^7.5 + (2*t^7.5)/g2^6 + (2*t^7.5)/g2^3 + 2*g2^3*t^7.5 + 2*g2^6*t^7.5 + (2*t^7.53)/g1^2 + (3*t^7.53)/(g1^2*g2^3) + (3*g2^3*t^7.53)/g1^2 + (2*t^7.56)/g1^4 + g1^5*t^8.18 - (g1^3*t^8.21)/g2^6 + (2*g1^3*t^8.21)/g2^3 + 2*g1^3*g2^3*t^8.21 - g1^3*g2^6*t^8.21 + g1*t^8.24 + (2*g1*t^8.24)/g2^6 + 2*g1*g2^6*t^8.24 - t^8.26/g1 + t^8.26/(g1*g2^3) + (g2^3*t^8.26)/g1 + t^8.29/g1^3 - t^8.29/(g1^3*g2^3) - (g2^3*t^8.29)/g1^3 + g1^6*t^8.92 + 6*g1^4*t^8.94 + (g1^4*t^8.94)/g2^6 + (g1^4*t^8.94)/g2^3 + g1^4*g2^3*t^8.94 + g1^4*g2^6*t^8.94 - 4*g1^2*t^8.97 + (2*g1^2*t^8.97)/g2^6 + (4*g1^2*t^8.97)/g2^3 + 4*g1^2*g2^3*t^8.97 + 2*g1^2*g2^6*t^8.97 - t^4.5/y - t^6./y - (g1*t^6.74)/y + t^7.5/y + (g1^3*t^8.21)/y + (g1*t^8.24)/(g2^3*y) + (g1*g2^3*t^8.24)/y + (2*t^8.26)/(g1*y) - (2*g1^2*t^8.97)/y + (2*g1^2*t^8.97)/(g2^3*y) + (2*g1^2*g2^3*t^8.97)/y - t^4.5*y - t^6.*y - g1*t^6.74*y + t^7.5*y + g1^3*t^8.21*y + (g1*t^8.24*y)/g2^3 + g1*g2^3*t^8.24*y + (2*t^8.26*y)/g1 - 2*g1^2*t^8.97*y + (2*g1^2*t^8.97*y)/g2^3 + 2*g1^2*g2^3*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 60811 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.9518 | 1.1497 | 0.8279 | [X:[1.5, 1.3333, 1.6667, 1.5], M:[0.8333], q:[0.1667, 0.3333], qb:[0.3333, 0.1667], phi:[0.5]] | 2*t^2.5 + 3*t^3. + 2*t^3.5 + 4*t^4. + 5*t^4.5 + 7*t^5. + 5*t^5.5 + 5*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | {a: 731/768, c: 883/768, X1: 3/2, X2: 4/3, X3: 5/3, X4: 3/2, M1: 5/6, q1: 1/6, q2: 1/3, qb1: 1/3, qb2: 1/6, phi1: 1/2} |
| 60497 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9887 | 1.1966 | 0.8263 | [X:[1.5, 1.5505, 1.4495, 1.5], M:[0.7248, 0.9495], q:[0.2752, 0.2248], qb:[0.2248, 0.2752], phi:[0.5]] | t^2.17 + 2*t^2.85 + 3*t^3. + 2*t^3.67 + t^3.83 + 3*t^4.35 + 5*t^4.5 + 2*t^4.65 + 2*t^5.02 + 5*t^5.17 + 2*t^5.33 + 3*t^5.7 + 5*t^5.85 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 60484 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.987 | 1.1912 | 0.8286 | [X:[1.5, 1.4673, 1.5327, 1.5], M:[0.7664, 0.9673], q:[0.2336, 0.2664], qb:[0.2664, 0.2336], phi:[0.5]] | t^2.3 + 2*t^2.9 + 3*t^3. + t^3.7 + 2*t^3.8 + 2*t^4.4 + 5*t^4.5 + 3*t^4.6 + 4*t^5.2 + 5*t^5.3 + 3*t^5.8 + 3*t^5.9 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 60058 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.9858 | 1.189 | 0.8292 | [X:[1.5, 1.5, 1.5, 1.5], M:[0.75], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] | t^2.25 + 5*t^3. + 3*t^3.75 + 10*t^4.5 + 9*t^5.25 + 5*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | {a: 2019/2048, c: 2435/2048, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, M1: 3/4, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2} |
| 59214 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.9256 | 1.1253 | 0.8225 | [X:[1.3047, 1.3907, 1.6093, 1.6953], M:[0.8047], q:[0.2604, 0.1744], qb:[0.4349, 0.1302], phi:[0.5]] | 2*t^2.41 + t^2.67 + t^3. + 2*t^3.33 + 2*t^3.59 + 2*t^3.91 + 2*t^4.17 + 2*t^4.5 + 6*t^4.83 + 5*t^5.09 + t^5.34 + t^5.41 + t^5.67 + 3*t^5.74 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47941 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ | 0.9864 | 1.191 | 0.8281 | [X:[1.4928, 1.5072, 1.4928, 1.5072], M:[0.725], q:[0.2631, 0.2487], qb:[0.2441, 0.2441], phi:[0.5]] | t^2.175 + 2*t^2.978 + t^3. + 2*t^3.022 + 2*t^3.697 + t^3.782 + t^4.35 + 4*t^4.478 + t^4.5 + 4*t^4.522 + 2*t^5.153 + t^5.175 + 4*t^5.197 + t^5.282 + t^5.325 + 2*t^5.872 + 3*t^5.957 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |