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 |
|---|---|---|---|---|---|---|---|---|---|
| 703 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8119 | 0.8109 | [M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | [M:[[13], [-4], [5], [-5], [-14]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$ | ${}$ | -1 | t^2.322 + t^2.544 + t^2.765 + t^2.987 + t^3.235 + t^3.456 + t^3.705 + 2*t^3.926 + t^4.148 + t^4.174 + t^4.396 + t^4.617 + t^4.644 + t^4.866 + 2*t^5.087 + 2*t^5.309 + t^5.53 + t^5.557 + t^5.778 + t^5.973 - t^6. + t^6.027 + 2*t^6.248 + t^6.443 + 2*t^6.47 + t^6.496 + 2*t^6.691 + 2*t^6.718 + t^6.913 + 3*t^6.939 + t^6.966 + 2*t^7.161 + t^7.188 + t^7.383 + 3*t^7.409 + 4*t^7.631 + 3*t^7.852 + 2*t^7.879 + t^8.074 + 3*t^8.1 + t^8.295 + 2*t^8.349 - t^8.544 + 3*t^8.57 - t^8.765 + 3*t^8.792 + t^8.818 + t^8.96 - 3*t^8.987 - t^4.383/y - t^6.705/y - t^7.369/y + t^7.396/y + t^7.866/y + t^8.061/y + t^8.087/y + (2*t^8.309)/y + t^8.53/y + t^8.557/y + t^8.752/y + (2*t^8.778)/y - t^4.383*y - t^6.705*y - t^7.369*y + t^7.396*y + t^7.866*y + t^8.061*y + t^8.087*y + 2*t^8.309*y + t^8.53*y + t^8.557*y + t^8.752*y + 2*t^8.778*y | t^2.322/g1^14 + t^2.544/g1^5 + g1^4*t^2.765 + g1^13*t^2.987 + t^3.235/g1^4 + g1^5*t^3.456 + t^3.705/g1^12 + (2*t^3.926)/g1^3 + g1^6*t^4.148 + t^4.174/g1^20 + t^4.396/g1^11 + t^4.617/g1^2 + t^4.644/g1^28 + t^4.866/g1^19 + (2*t^5.087)/g1^10 + (2*t^5.309)/g1 + g1^8*t^5.53 + t^5.557/g1^18 + t^5.778/g1^9 + g1^26*t^5.973 - t^6. + t^6.027/g1^26 + (2*t^6.248)/g1^17 + g1^18*t^6.443 + (2*t^6.47)/g1^8 + t^6.496/g1^34 + 2*g1*t^6.691 + (2*t^6.718)/g1^25 + g1^10*t^6.913 + (3*t^6.939)/g1^16 + t^6.966/g1^42 + (2*t^7.161)/g1^7 + t^7.188/g1^33 + g1^2*t^7.383 + (3*t^7.409)/g1^24 + (4*t^7.631)/g1^15 + (3*t^7.852)/g1^6 + (2*t^7.879)/g1^32 + g1^3*t^8.074 + (3*t^8.1)/g1^23 + g1^12*t^8.295 + (2*t^8.349)/g1^40 - t^8.544/g1^5 + (3*t^8.57)/g1^31 - g1^4*t^8.765 + (3*t^8.792)/g1^22 + t^8.818/g1^48 + g1^39*t^8.96 - 3*g1^13*t^8.987 - (g1^2*t^4.383)/y - t^6.705/(g1^12*y) - (g1^15*t^7.369)/y + t^7.396/(g1^11*y) + t^7.866/(g1^19*y) + (g1^16*t^8.061)/y + t^8.087/(g1^10*y) + (2*t^8.309)/(g1*y) + (g1^8*t^8.53)/y + t^8.557/(g1^18*y) + (g1^17*t^8.752)/y + (2*t^8.778)/(g1^9*y) - g1^2*t^4.383*y - (t^6.705*y)/g1^12 - g1^15*t^7.369*y + (t^7.396*y)/g1^11 + (t^7.866*y)/g1^19 + g1^16*t^8.061*y + (t^8.087*y)/g1^10 + (2*t^8.309*y)/g1 + g1^8*t^8.53*y + (t^8.557*y)/g1^18 + g1^17*t^8.752*y + (2*t^8.778*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1146 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.6657 | 0.8235 | 0.8084 | [M:[0.9836, 1.082, 1.1475, 0.8525, 0.7869, 0.918], q:[0.7705, 0.541], qb:[0.4754, 0.3771], phi:[0.459]] | t^2.361 + t^2.557 + 2*t^2.754 + t^2.951 + t^3.443 + t^3.738 + 2*t^3.934 + t^4.131 + t^4.229 + t^4.426 + t^4.623 + t^4.721 + t^4.918 + 3*t^5.115 + 3*t^5.311 + 3*t^5.508 + t^5.705 + t^5.902 - 2*t^6. - t^4.377/y - t^4.377*y | detail | |
| 1143 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5884 | 0.7232 | 0.8135 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^3.789 + 2*t^4.105 + 2*t^4.421 + t^4.737 + 2*t^5.053 + 4*t^5.368 + 2*t^5.684 - t^4.263/y - t^4.263*y | detail | {a: 64569/109744, c: 39685/54872, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
| 1142 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6115 | 0.7499 | 0.8155 | [M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.857 + 2*t^4.071 + t^4.286 + 2*t^4.714 + t^4.929 + 2*t^5.143 + 2*t^5.357 + 3*t^5.571 + t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 7671/12544, c: 9407/12544, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, phi1: 3/7} |
| 1148 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6771 | 0.8451 | 0.8012 | [M:[0.9789, 1.0834, 1.1457, 0.8543, 0.792, 0.7497], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | t^2.249 + t^2.376 + t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.437 + 2*t^3.938 + t^4.125 + t^4.251 + t^4.438 + t^4.498 + 2*t^4.625 + t^4.752 + t^4.812 + t^4.939 + t^4.999 + 2*t^5.126 + t^5.186 + 2*t^5.313 + 2*t^5.499 + t^5.626 + t^5.686 + t^5.813 + t^5.873 - t^6. - t^4.375/y - t^4.375*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 |
|---|---|---|---|---|---|---|---|---|---|
| 421 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[0.9659, 1.0874, 1.1407, 0.8593], q:[0.7719, 0.5437], qb:[0.4904, 0.3689], phi:[0.4563]] | t^2.578 + t^2.738 + t^2.898 + t^3.262 + t^3.422 + t^3.582 + t^3.787 + 2*t^3.947 + t^4.107 + t^4.311 + t^4.471 + t^4.631 + t^5.156 + t^5.316 + t^5.475 + t^5.795 - t^6. - t^4.369/y - t^4.369*y | detail |