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 |
|---|---|---|---|---|---|---|---|---|---|
| 48267 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6584 | 0.8119 | 0.8109 | [M:[1.1521, 0.9956, 1.0783, 0.8479, 0.774], q:[0.4653, 0.3826], qb:[0.5391, 0.7696], phi:[0.4609]] | [M:[[-5], [-13], [4], [5], [14]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}^{2}$ | ${}$ | -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 | g1^14*t^2.322 + g1^5*t^2.544 + t^2.765/g1^4 + t^2.987/g1^13 + g1^4*t^3.235 + t^3.456/g1^5 + g1^12*t^3.705 + 2*g1^3*t^3.926 + t^4.148/g1^6 + g1^20*t^4.174 + g1^11*t^4.396 + g1^2*t^4.617 + g1^28*t^4.644 + g1^19*t^4.866 + 2*g1^10*t^5.087 + 2*g1*t^5.309 + t^5.53/g1^8 + g1^18*t^5.557 + g1^9*t^5.778 + t^5.973/g1^26 - t^6. + g1^26*t^6.027 + 2*g1^17*t^6.248 + t^6.443/g1^18 + 2*g1^8*t^6.47 + g1^34*t^6.496 + (2*t^6.691)/g1 + 2*g1^25*t^6.718 + t^6.913/g1^10 + 3*g1^16*t^6.939 + g1^42*t^6.966 + 2*g1^7*t^7.161 + g1^33*t^7.188 + t^7.383/g1^2 + 3*g1^24*t^7.409 + 4*g1^15*t^7.631 + 3*g1^6*t^7.852 + 2*g1^32*t^7.879 + t^8.074/g1^3 + 3*g1^23*t^8.1 + t^8.295/g1^12 + 2*g1^40*t^8.349 - g1^5*t^8.544 + 3*g1^31*t^8.57 - t^8.765/g1^4 + 3*g1^22*t^8.792 + g1^48*t^8.818 + t^8.96/g1^39 - (3*t^8.987)/g1^13 - t^4.383/(g1^2*y) - (g1^12*t^6.705)/y - t^7.369/(g1^15*y) + (g1^11*t^7.396)/y + (g1^19*t^7.866)/y + t^8.061/(g1^16*y) + (g1^10*t^8.087)/y + (2*g1*t^8.309)/y + t^8.53/(g1^8*y) + (g1^18*t^8.557)/y + t^8.752/(g1^17*y) + (2*g1^9*t^8.778)/y - (t^4.383*y)/g1^2 - g1^12*t^6.705*y - (t^7.369*y)/g1^15 + g1^11*t^7.396*y + g1^19*t^7.866*y + (t^8.061*y)/g1^16 + g1^10*t^8.087*y + 2*g1*t^8.309*y + (t^8.53*y)/g1^8 + g1^18*t^8.557*y + (t^8.752*y)/g1^17 + 2*g1^9*t^8.778*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 |
|---|---|---|---|---|---|---|---|---|
| 55980 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6657 | 0.8235 | 0.8084 | [M:[1.1475, 0.9836, 1.082, 0.8525, 0.7869, 0.918], q:[0.4754, 0.3771], qb:[0.541, 0.7705], 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 | |
| 55979 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5884 | 0.7232 | 0.8135 | [M:[1.0526, 0.7368, 1.1579, 0.9474, 1.0526], q:[0.6842, 0.2632], qb:[0.5789, 0.7895], 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: 20/19, M2: 14/19, M3: 22/19, M4: 18/19, M5: 20/19, q1: 13/19, q2: 5/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
| 55978 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6115 | 0.7499 | 0.8155 | [M:[1.0714, 0.7857, 1.1429, 0.9286, 1.0], q:[0.6429, 0.2857], qb:[0.5714, 0.7857], 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: 15/14, M2: 11/14, M3: 8/7, M4: 13/14, M5: 1, q1: 9/14, q2: 2/7, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[1.1407, 0.9659, 1.0874, 0.8593], q:[0.4904, 0.3689], qb:[0.5437, 0.7719], 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 |