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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-5], [-13], [4], [5]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$ | ${}$ | -1 | 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^6.16 + 2*t^6.32 + t^6.48 + t^6.525 + 2*t^6.684 + 2*t^6.844 + t^6.889 + t^7.004 + 2*t^7.049 + t^7.164 + 2*t^7.209 + 2*t^7.369 + 2*t^7.529 + t^7.574 + t^7.689 + 2*t^7.734 + 3*t^7.893 + 2*t^8.053 + t^8.098 + t^8.213 + 2*t^8.258 + t^8.418 - t^8.578 + t^8.623 + t^8.693 - t^8.738 + t^8.783 - 2*t^8.898 + t^8.943 - t^4.369/y - t^7.266/y + t^7.471/y + t^8.316/y + t^8.475/y + t^8.635/y + t^8.84/y - t^4.369*y - t^7.266*y + t^7.471*y + t^8.316*y + t^8.475*y + t^8.635*y + t^8.84*y | g1^5*t^2.578 + t^2.738/g1^4 + t^2.898/g1^13 + g1^4*t^3.262 + t^3.422/g1^5 + t^3.582/g1^14 + g1^12*t^3.787 + 2*g1^3*t^3.947 + t^4.107/g1^6 + g1^20*t^4.311 + g1^11*t^4.471 + g1^2*t^4.631 + g1^10*t^5.156 + g1*t^5.316 + t^5.475/g1^8 + t^5.795/g1^26 - t^6. + t^6.16/g1^9 + (2*t^6.32)/g1^18 + t^6.48/g1^27 + g1^8*t^6.525 + (2*t^6.684)/g1 + (2*t^6.844)/g1^10 + g1^25*t^6.889 + t^7.004/g1^19 + 2*g1^16*t^7.049 + t^7.164/g1^28 + 2*g1^7*t^7.209 + (2*t^7.369)/g1^2 + (2*t^7.529)/g1^11 + g1^24*t^7.574 + t^7.689/g1^20 + 2*g1^15*t^7.734 + 3*g1^6*t^7.893 + (2*t^8.053)/g1^3 + g1^32*t^8.098 + t^8.213/g1^12 + 2*g1^23*t^8.258 + g1^14*t^8.418 - g1^5*t^8.578 + g1^40*t^8.623 + t^8.693/g1^39 - t^8.738/g1^4 + g1^31*t^8.783 - (2*t^8.898)/g1^13 + g1^22*t^8.943 - t^4.369/(g1^2*y) - t^7.266/(g1^15*y) + (g1^11*t^7.471)/y + (g1*t^8.316)/y + t^8.475/(g1^8*y) + t^8.635/(g1^17*y) + (g1^9*t^8.84)/y - (t^4.369*y)/g1^2 - (t^7.266*y)/g1^15 + g1^11*t^7.471*y + g1*t^8.316*y + (t^8.475*y)/g1^8 + (t^8.635*y)/g1^17 + g1^9*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 46858 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6539 | 0.8024 | 0.8149 | [M:[1.1468, 0.9817, 1.0826, 0.8532, 0.8532], q:[0.477, 0.3762], qb:[0.5413, 0.7706], phi:[0.4587]] | 2*t^2.56 + t^2.752 + t^2.945 + t^3.248 + t^3.633 + t^3.743 + 2*t^3.936 + t^4.128 + t^4.238 + t^4.431 + t^4.624 + 3*t^5.119 + 2*t^5.312 + 2*t^5.505 + t^5.807 + t^5.89 - 2*t^6. - t^4.376/y - t^4.376*y | detail | |
| 48158 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}^{2}$ | 0.6402 | 0.7796 | 0.8212 | [M:[1.1538, 1.0, 1.0769, 0.8462], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + 2*t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + t^4.615 + t^5.077 + t^5.308 + t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 1731/2704, c: 527/676, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 48267 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 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]] | 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^4.383/y - t^4.383*y | detail | |
| 48227 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.661 | 0.8174 | 0.8086 | [M:[1.135, 0.951, 1.092, 0.865, 0.724], q:[0.503, 0.362], qb:[0.546, 0.773], phi:[0.454]] | t^2.172 + t^2.595 + t^2.724 + t^2.853 + t^3.276 + t^3.405 + t^3.534 + 2*t^3.957 + t^4.086 + t^4.344 + t^4.38 + t^4.509 + t^4.638 + t^4.767 + t^4.896 + t^5.025 + t^5.19 + t^5.319 + 2*t^5.448 + t^5.577 + 2*t^5.706 - t^6. - t^4.362/y - t^4.362*y | detail | |
| 46814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[1.1403, 0.9647, 1.0878, 0.8597, 0.6842], q:[0.4914, 0.3683], qb:[0.5439, 0.7719], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9667, 0.9917, 1.1204, 0.7676], q:[0.581, 0.4523], qb:[0.4273, 0.7801], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*y | detail |