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 |
|---|---|---|---|---|---|---|---|---|---|
| 651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | [M:[[-3], [4], [-11], [0], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. + t^6.117 + t^6.233 + t^6.35 + t^6.362 + t^6.595 + t^6.607 + t^6.724 + t^6.84 + t^6.957 + t^7.074 + 2*t^7.086 + t^7.191 + t^7.202 + t^7.319 + t^7.436 + t^7.448 + 3*t^7.564 + 2*t^7.681 + t^7.798 + t^7.809 + t^7.914 + 2*t^7.926 + t^8.043 + t^8.171 + t^8.264 - t^8.276 + t^8.288 + 2*t^8.405 - t^8.521 + t^8.638 + t^8.65 - 2*t^8.755 + t^8.767 + t^8.988 - t^4.319/y - t^7.074/y + t^7.564/y + t^8.276/y + t^8.521/y + t^8.755/y + t^8.883/y - t^4.319*y - t^7.074*y + t^7.564*y + t^8.276*y + t^8.521*y + t^8.755*y + t^8.883*y | g1^3*t^2.521 + t^2.755/g1^11 + t^3. + g1^4*t^3.362 + t^3.479/g1^3 + t^3.595/g1^10 + g1^8*t^3.724 + g1*t^3.84 + g1^12*t^4.086 + g1^5*t^4.202 + t^4.319/g1^2 + g1^9*t^4.564 + 2*g1^6*t^5.043 + t^5.51/g1^22 + g1^7*t^5.883 - t^6. + t^6.117/g1^7 + t^6.233/g1^14 + t^6.35/g1^21 + g1^4*t^6.362 + t^6.595/g1^10 + g1^15*t^6.607 + g1^8*t^6.724 + g1*t^6.84 + t^6.957/g1^6 + t^7.074/g1^13 + 2*g1^12*t^7.086 + t^7.191/g1^20 + g1^5*t^7.202 + t^7.319/g1^2 + t^7.436/g1^9 + g1^16*t^7.448 + 3*g1^9*t^7.564 + 2*g1^2*t^7.681 + t^7.798/g1^5 + g1^20*t^7.809 + t^7.914/g1^12 + 2*g1^13*t^7.926 + g1^6*t^8.043 + g1^24*t^8.171 + t^8.264/g1^33 - t^8.276/g1^8 + g1^17*t^8.288 + 2*g1^10*t^8.405 - g1^3*t^8.521 + t^8.638/g1^4 + g1^21*t^8.65 - (2*t^8.755)/g1^11 + g1^14*t^8.767 + t^8.988/g1^25 - t^4.319/(g1^2*y) - t^7.074/(g1^13*y) + (g1^9*t^7.564)/y + t^8.276/(g1^8*y) + (g1^3*t^8.521)/y + t^8.755/(g1^11*y) + (g1^7*t^8.883)/y - (t^4.319*y)/g1^2 - (t^7.074*y)/g1^13 + g1^9*t^7.564*y + (t^8.276*y)/g1^8 + g1^3*t^8.521*y + (t^8.755*y)/g1^11 + g1^7*t^8.883*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 |
|---|---|---|---|---|---|---|---|---|
| 1039 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6529 | 0.7983 | 0.8178 | [M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | 2*t^2.51 + t^2.797 + t^3. + t^3.347 + t^3.633 + t^3.693 + t^3.837 + t^4.04 + t^4.183 + t^4.327 + t^4.53 + 4*t^5.02 + t^5.307 + t^5.51 + t^5.594 + 2*t^5.857 - 2*t^6. - t^4.327/y - t^4.327*y | detail | |
| 1042 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}^{2}$ | 0.6343 | 0.7707 | 0.8231 | [M:[1.1818, 1.0909, 1.0, 1.0, 0.8182], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 2*t^4.909 + t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 13509/21296, c: 16413/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 1038 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.159 + t^2.523 + t^2.749 + t^3. + t^3.364 + t^3.477 + t^3.59 + t^3.728 + t^4.092 + t^4.205 + 2*t^4.318 + t^4.569 + t^4.682 + t^4.908 + 2*t^5.046 + t^5.159 + t^5.499 + t^5.523 + t^5.636 + t^5.749 + 2*t^5.887 - t^6. - t^4.318/y - t^4.318*y | detail | |
| 1040 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6562 | 0.806 | 0.8142 | [M:[1.1685, 1.1087, 0.951, 1.0, 0.8315, 0.7718], q:[0.7772, 0.4402], qb:[0.3913, 0.6087], phi:[0.4456]] | t^2.315 + t^2.495 + t^2.853 + t^3. + t^3.326 + t^3.505 + t^3.652 + t^3.832 + t^3.978 + t^4.158 + t^4.337 + t^4.484 + t^4.631 + t^4.81 + 2*t^4.989 + t^5.168 + t^5.315 + t^5.641 + t^5.706 + 2*t^5.821 + t^5.968 - t^6. - t^4.337/y - t^4.337*y | detail | |
| 1037 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*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 |
|---|---|---|---|---|---|---|---|---|---|
| 403 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8344 | 0.8273 | [M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.083 + t^2.649 + t^2.673 + t^3. + t^3.622 + t^3.894 + 2*t^4.165 + t^4.189 + t^4.213 + t^4.244 + t^4.516 + t^4.54 + t^4.732 + t^4.756 + t^4.867 + t^5.083 + t^5.299 + t^5.322 + t^5.346 + t^5.705 - 2*t^6. - t^4.189/y - t^4.189*y | detail |