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 |
|---|---|---|---|---|---|---|---|---|---|
| 50850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6844 | 0.8552 | 0.8003 | [M:[1.1117, 1.0, 0.8883, 0.6894, 0.8011, 0.8883], q:[0.3447, 0.5436], qb:[0.6553, 0.767], phi:[0.4223]] | [M:[[5], [0], [-5], [4], [9], [-5]], q:[[2], [-7]], qb:[[-2], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{1}q_{2}$ | -1 | t^2.068 + t^2.403 + t^2.534 + 2*t^2.665 + t^3. + t^3.335 + t^3.932 + t^4.136 + 2*t^4.267 + t^4.471 + t^4.529 + 2*t^4.602 + t^4.733 + t^4.806 + t^4.864 + t^4.937 + 3*t^5.068 + 4*t^5.199 + 2*t^5.33 + t^5.403 + 2*t^5.534 + t^5.738 + 2*t^5.869 - t^6. + t^6.204 + t^6.335 + t^6.466 + t^6.539 + t^6.597 + 3*t^6.67 + 2*t^6.801 + t^6.874 + 2*t^6.932 + 2*t^7.005 + t^7.063 + 3*t^7.136 + 2*t^7.194 + t^7.209 + 4*t^7.267 + t^7.34 + t^7.398 + 3*t^7.471 + 2*t^7.529 + 6*t^7.602 + 3*t^7.733 + t^7.806 + 5*t^7.864 + 3*t^7.937 + t^7.995 - 2*t^8.068 + t^8.141 + 2*t^8.199 + 3*t^8.272 - 2*t^8.33 + t^8.461 + 3*t^8.534 + t^8.607 - 7*t^8.665 + 2*t^8.738 + t^8.796 + 3*t^8.869 + t^8.942 - t^4.267/y - t^6.335/y - t^6.67/y - t^6.801/y - t^6.932/y + t^7.471/y + (2*t^7.602)/y + (3*t^7.733)/y + t^7.864/y + t^7.937/y + (3*t^8.068)/y + (3*t^8.199)/y + t^8.33/y + t^8.403/y + t^8.534/y + (2*t^8.665)/y - t^4.267*y - t^6.335*y - t^6.67*y - t^6.801*y - t^6.932*y + t^7.471*y + 2*t^7.602*y + 3*t^7.733*y + t^7.864*y + t^7.937*y + 3*t^8.068*y + 3*t^8.199*y + t^8.33*y + t^8.403*y + t^8.534*y + 2*t^8.665*y | g1^4*t^2.068 + g1^9*t^2.403 + g1^2*t^2.534 + (2*t^2.665)/g1^5 + t^3. + g1^5*t^3.335 + t^3.932/g1^4 + g1^8*t^4.136 + 2*g1*t^4.267 + g1^13*t^4.471 + t^4.529/g1^13 + 2*g1^6*t^4.602 + t^4.733/g1 + g1^18*t^4.806 + t^4.864/g1^8 + g1^11*t^4.937 + 3*g1^4*t^5.068 + (4*t^5.199)/g1^3 + (2*t^5.33)/g1^10 + g1^9*t^5.403 + 2*g1^2*t^5.534 + g1^14*t^5.738 + 2*g1^7*t^5.869 - t^6. + g1^12*t^6.204 + g1^5*t^6.335 + t^6.466/g1^2 + g1^17*t^6.539 + t^6.597/g1^9 + 3*g1^10*t^6.67 + 2*g1^3*t^6.801 + g1^22*t^6.874 + (2*t^6.932)/g1^4 + 2*g1^15*t^7.005 + t^7.063/g1^11 + 3*g1^8*t^7.136 + (2*t^7.194)/g1^18 + g1^27*t^7.209 + 4*g1*t^7.267 + g1^20*t^7.34 + t^7.398/g1^6 + 3*g1^13*t^7.471 + (2*t^7.529)/g1^13 + 6*g1^6*t^7.602 + (3*t^7.733)/g1 + g1^18*t^7.806 + (5*t^7.864)/g1^8 + 3*g1^11*t^7.937 + t^7.995/g1^15 - 2*g1^4*t^8.068 + g1^23*t^8.141 + (2*t^8.199)/g1^3 + 3*g1^16*t^8.272 - (2*t^8.33)/g1^10 + t^8.461/g1^17 + 3*g1^2*t^8.534 + g1^21*t^8.607 - (7*t^8.665)/g1^5 + 2*g1^14*t^8.738 + t^8.796/g1^12 + 3*g1^7*t^8.869 + g1^26*t^8.942 - (g1*t^4.267)/y - (g1^5*t^6.335)/y - (g1^10*t^6.67)/y - (g1^3*t^6.801)/y - t^6.932/(g1^4*y) + (g1^13*t^7.471)/y + (2*g1^6*t^7.602)/y + (3*t^7.733)/(g1*y) + t^7.864/(g1^8*y) + (g1^11*t^7.937)/y + (3*g1^4*t^8.068)/y + (3*t^8.199)/(g1^3*y) + t^8.33/(g1^10*y) + (g1^9*t^8.403)/y + (g1^2*t^8.534)/y + (2*t^8.665)/(g1^5*y) - g1*t^4.267*y - g1^5*t^6.335*y - g1^10*t^6.67*y - g1^3*t^6.801*y - (t^6.932*y)/g1^4 + g1^13*t^7.471*y + 2*g1^6*t^7.602*y + (3*t^7.733*y)/g1 + (t^7.864*y)/g1^8 + g1^11*t^7.937*y + 3*g1^4*t^8.068*y + (3*t^8.199*y)/g1^3 + (t^8.33*y)/g1^10 + g1^9*t^8.403*y + g1^2*t^8.534*y + (2*t^8.665*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 |
|---|---|---|---|---|---|---|---|---|
| 56158 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6817 | 0.8513 | 0.8007 | [M:[1.1429, 1.0, 0.8571, 0.7143, 0.8571, 0.8571], q:[0.3571, 0.5], qb:[0.6429, 0.7857], phi:[0.4286]] | t^2.143 + 4*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 11*t^5.143 + 3*t^5.571 + 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3741/5488, c: 292/343, M1: 8/7, M2: 1, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, q1: 5/14, q2: 1/2, qb1: 9/14, qb2: 11/14, phi1: 3/7} |
| 56162 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6951 | 0.8732 | 0.796 | [M:[1.1261, 1.0, 0.8739, 0.7009, 0.827, 0.8739, 0.8739], q:[0.3504, 0.5234], qb:[0.6496, 0.7757], phi:[0.4252]] | t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. - t^4.276/y - t^4.276*y | detail | |
| 56153 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ | 0.578 | 0.7415 | 0.7796 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | 2*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + t^4.615 + 4*t^4.846 + 3*t^5.077 + 2*t^5.308 + 4*t^5.538 + 3*t^5.769 + 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1563/2704, c: 2005/2704, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, q1: 11/26, q2: 7/26, qb1: 15/26, qb2: 23/26, phi1: 6/13} |
| 56156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6125 | 0.7773 | 0.788 | [M:[1.2727, 1.0, 0.7273, 0.8182, 1.0909, 0.7273], q:[0.4091, 0.3182], qb:[0.5909, 0.8636], phi:[0.4545]] | 2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^3.818 + t^4.091 + 4*t^4.364 + t^4.636 + 5*t^4.909 + 2*t^5.182 + 5*t^5.455 + 4*t^5.727 + t^6. - t^4.364/y - t^4.364*y | detail | {a: 3261/5324, c: 16553/21296, M1: 14/11, M2: 1, M3: 8/11, M4: 9/11, M5: 12/11, M6: 8/11, q1: 9/22, q2: 7/22, qb1: 13/22, qb2: 19/22, phi1: 5/11} |
| 56154 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}^{2}$ | 0.6505 | 0.8171 | 0.796 | [M:[1.2222, 1.0, 0.7778, 0.7778, 1.0, 0.7778], q:[0.3889, 0.3889], qb:[0.6111, 0.8333], phi:[0.4444]] | 3*t^2.333 + t^2.667 + 2*t^3. + 3*t^3.667 + 3*t^4.333 + 4*t^4.667 + 6*t^5. + 4*t^5.333 + 3*t^5.667 + 4*t^6. - t^4.333/y - t^4.333*y | detail | {a: 281/432, c: 353/432, M1: 11/9, M2: 1, M3: 7/9, M4: 7/9, M5: 1, M6: 7/9, q1: 7/18, q2: 7/18, qb1: 11/18, qb2: 5/6, phi1: 4/9} |
| 56163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.7051 | 0.8954 | 0.7874 | [M:[1.11, 1.0, 0.89, 0.688, 0.798, 0.89, 0.688], q:[0.344, 0.546], qb:[0.656, 0.766], phi:[0.422]] | 2*t^2.064 + t^2.394 + t^2.532 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4.128 + 2*t^4.266 + 2*t^4.458 + t^4.542 + 3*t^4.596 + 3*t^4.734 + t^4.788 + t^4.872 + t^4.926 + 4*t^5.064 + 4*t^5.202 + 2*t^5.34 + 2*t^5.394 + 2*t^5.532 + t^5.724 + 2*t^5.862 - 2*t^6. - t^4.266/y - t^4.266*y | detail | |
| 56159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6709 | 0.832 | 0.8064 | [M:[1.117, 1.0, 0.883, 0.6936, 0.8106, 0.883, 1.1532], q:[0.3468, 0.5362], qb:[0.6532, 0.7702], phi:[0.4234]] | t^2.081 + t^2.432 + 2*t^2.649 + t^3. + t^3.351 + t^3.46 + t^3.919 + t^4.162 + 2*t^4.27 + t^4.487 + t^4.513 + t^4.621 + t^4.73 + t^4.838 + t^4.864 + 2*t^5.081 + 2*t^5.189 + 2*t^5.298 + t^5.432 + 2*t^5.54 + t^5.783 + 2*t^5.891 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]] | t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y | detail |