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 |
|---|---|---|---|---|---|---|---|---|---|
| 4383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ | 0.6447 | 0.7869 | 0.8193 | [X:[1.4249], M:[0.6995, 1.1502, 1.0, 1.1244, 0.5751, 0.8756, 0.8756, 1.1244], q:[0.5258, 0.7747], qb:[0.3498, 0.6502], phi:[0.4249]] | [X:[[1]], M:[[4], [-2], [0], [5], [-1], [-5], [-5], [5]], q:[[-7], [3]], qb:[[2], [-2]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}M_{7}M_{8}$ | -1 | t^2.099 + t^2.627 + t^3. + 2*t^3.373 + t^3.451 + t^3.528 + t^3.901 + t^4.197 + 2*t^4.275 + t^4.429 + t^4.648 + t^4.803 + 2*t^5.176 + t^5.472 + 2*t^5.549 + t^5.923 - t^6. + t^6.077 + t^6.155 + t^6.296 + t^6.373 + t^6.451 + t^6.528 + 2*t^6.747 + t^6.824 + 2*t^6.901 + t^6.979 + 2*t^7.056 + 2*t^7.275 + 2*t^7.429 + t^7.571 + 4*t^7.648 + 4*t^7.803 + t^7.958 + 2*t^8.021 - 3*t^8.099 + 3*t^8.176 - t^8.253 + 2*t^8.331 + t^8.394 - t^8.472 + 5*t^8.549 - 4*t^8.627 + 3*t^8.704 + t^8.845 + t^8.859 + 3*t^8.923 - t^4.275/y - t^6.373/y + t^7.725/y + t^8.099/y + t^8.176/y + t^8.472/y + t^8.549/y + (2*t^8.627)/y - t^4.275*y - t^6.373*y + t^7.725*y + t^8.099*y + t^8.176*y + t^8.472*y + t^8.549*y + 2*t^8.627*y | g1^4*t^2.099 + t^2.627/g1^5 + t^3. + 2*g1^5*t^3.373 + t^3.451/g1^2 + t^3.528/g1^9 + t^3.901/g1^4 + g1^8*t^4.197 + 2*g1*t^4.275 + t^4.429/g1^13 + g1^6*t^4.648 + t^4.803/g1^8 + (2*t^5.176)/g1^3 + g1^9*t^5.472 + 2*g1^2*t^5.549 + g1^7*t^5.923 - t^6. + t^6.077/g1^7 + t^6.155/g1^14 + g1^12*t^6.296 + g1^5*t^6.373 + t^6.451/g1^2 + t^6.528/g1^9 + 2*g1^10*t^6.747 + g1^3*t^6.824 + (2*t^6.901)/g1^4 + t^6.979/g1^11 + (2*t^7.056)/g1^18 + 2*g1*t^7.275 + (2*t^7.429)/g1^13 + g1^13*t^7.571 + 4*g1^6*t^7.648 + (4*t^7.803)/g1^8 + t^7.958/g1^22 + 2*g1^11*t^8.021 - 3*g1^4*t^8.099 + (3*t^8.176)/g1^3 - t^8.253/g1^10 + (2*t^8.331)/g1^17 + g1^16*t^8.394 - g1^9*t^8.472 + 5*g1^2*t^8.549 - (4*t^8.627)/g1^5 + (3*t^8.704)/g1^12 + g1^14*t^8.845 + t^8.859/g1^26 + 3*g1^7*t^8.923 - (g1*t^4.275)/y - (g1^5*t^6.373)/y + t^7.725/(g1*y) + (g1^4*t^8.099)/y + t^8.176/(g1^3*y) + (g1^9*t^8.472)/y + (g1^2*t^8.549)/y + (2*t^8.627)/(g1^5*y) - g1*t^4.275*y - g1^5*t^6.373*y + (t^7.725*y)/g1 + g1^4*t^8.099*y + (t^8.176*y)/g1^3 + g1^9*t^8.472*y + g1^2*t^8.549*y + (2*t^8.627*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 |
|---|---|---|---|---|---|---|---|---|
| 5866 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{4}$ | 0.6227 | 0.7685 | 0.8102 | [X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.2222], q:[0.3889, 0.8333], qb:[0.3889, 0.6111], phi:[0.4444]] | 2*t^2.333 + 2*t^3. + t^3.333 + 4*t^3.667 + 3*t^4.333 + t^4.667 + 3*t^5. + t^5.333 + 3*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 269/432, c: 83/108, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 11/9, q1: 7/18, q2: 5/6, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5868 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6565 | 0.8082 | 0.8123 | [X:[1.4284], M:[0.7134, 1.1433, 1.0, 1.1418, 0.5716, 0.8582, 0.8582, 1.1418, 0.8582], q:[0.5015, 0.7851], qb:[0.3567, 0.6433], phi:[0.4284]] | t^2.14 + 2*t^2.575 + t^3. + t^3.425 + t^3.43 + t^3.434 + t^3.86 + t^4.281 + 2*t^4.285 + t^4.294 + t^4.71 + t^4.715 + t^4.719 + 2*t^5.145 + 2*t^5.149 + 2*t^5.57 + t^5.575 + t^5.996 - t^6. - t^4.285/y - t^4.285*y | detail | |
| 5871 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}X_{1}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6653 | 0.8262 | 0.8052 | [X:[1.4243], M:[0.6971, 1.1514, 1.0, 1.1214, 0.5757, 0.8786, 0.8786, 1.1214, 0.6971], q:[0.53, 0.7728], qb:[0.3486, 0.6514], phi:[0.4243]] | 2*t^2.091 + t^2.636 + t^3. + 2*t^3.364 + t^3.454 + t^3.544 + 3*t^4.183 + 2*t^4.273 + t^4.453 + t^4.637 + t^4.727 + t^4.817 + t^5.091 + 2*t^5.181 + 3*t^5.456 + 3*t^5.546 + t^5.636 + t^5.91 - 2*t^6. - t^4.273/y - t^4.273*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.7333 | 0.912 | 0.804 | [M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.026 + t^2.579 + t^2.595 + 2*t^2.984 + t^3. + t^3.21 + t^3.437 + t^4.052 + t^4.379 + t^4.395 + t^4.411 + t^4.605 + t^4.621 + t^4.784 + t^4.8 + 2*t^4.816 + t^4.831 + t^4.847 + 2*t^5.01 + t^5.026 + t^5.159 + t^5.175 + t^5.19 + t^5.236 + t^5.462 + t^5.563 + 2*t^5.579 + t^5.79 + t^5.806 + 2*t^5.968 - 3*t^6. - t^4.395/y - t^4.395*y | detail |