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 |
|---|---|---|---|---|---|---|---|---|---|
| 48133 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6513 | 0.8005 | 0.8136 | [M:[1.1562, 1.075, 0.8438, 0.7749, 1.075], q:[0.3875, 0.4563], qb:[0.5375, 0.7688], phi:[0.4625]] | [M:[[-5], [4], [5], [-12], [4]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.325 + t^2.531 + t^2.981 + 2*t^3.225 + t^3.469 + t^3.712 + 2*t^3.919 + t^4.125 + t^4.162 + t^4.369 + t^4.613 + t^4.65 + t^4.856 + t^5.063 + t^5.306 + t^5.513 + t^5.55 + t^5.756 + t^5.963 - 2*t^6. + t^6.037 + t^6.207 + t^6.244 + 4*t^6.45 + t^6.487 + t^6.657 + 2*t^6.694 + 2*t^6.9 + t^6.937 + t^6.974 + t^7.107 + 2*t^7.144 + t^7.181 + 2*t^7.35 + t^7.387 + t^7.424 + 2*t^7.594 + 2*t^7.631 + 3*t^7.838 + 2*t^7.875 + 2*t^8.044 + t^8.081 + t^8.251 + 2*t^8.288 - 2*t^8.325 + t^8.362 + 2*t^8.494 - t^8.531 + t^8.568 + t^8.738 + 2*t^8.775 + t^8.812 + t^8.944 - t^4.387/y - t^6.712/y + t^7.162/y - t^7.613/y + t^7.856/y + t^8.063/y + t^8.306/y + t^8.513/y + (2*t^8.55)/y + (2*t^8.756)/y + t^8.793/y - t^4.387*y - t^6.712*y + t^7.162*y - t^7.613*y + t^7.856*y + t^8.063*y + t^8.306*y + t^8.513*y + 2*t^8.55*y + 2*t^8.756*y + t^8.793*y | t^2.325/g1^12 + g1^5*t^2.531 + g1^13*t^2.981 + 2*g1^4*t^3.225 + t^3.469/g1^5 + t^3.712/g1^14 + 2*g1^3*t^3.919 + g1^20*t^4.125 + t^4.162/g1^6 + g1^11*t^4.369 + g1^2*t^4.613 + t^4.65/g1^24 + t^4.856/g1^7 + g1^10*t^5.063 + g1*t^5.306 + g1^18*t^5.513 + t^5.55/g1^8 + g1^9*t^5.756 + g1^26*t^5.963 - 2*t^6. + t^6.037/g1^26 + g1^17*t^6.207 + t^6.244/g1^9 + 4*g1^8*t^6.45 + t^6.487/g1^18 + g1^25*t^6.657 + (2*t^6.694)/g1 + 2*g1^16*t^6.9 + t^6.937/g1^10 + t^6.974/g1^36 + g1^33*t^7.107 + 2*g1^7*t^7.144 + t^7.181/g1^19 + 2*g1^24*t^7.35 + t^7.387/g1^2 + t^7.424/g1^28 + 2*g1^15*t^7.594 + (2*t^7.631)/g1^11 + 3*g1^6*t^7.838 + (2*t^7.875)/g1^20 + 2*g1^23*t^8.044 + t^8.081/g1^3 + g1^40*t^8.251 + 2*g1^14*t^8.288 - (2*t^8.325)/g1^12 + t^8.362/g1^38 + 2*g1^31*t^8.494 - g1^5*t^8.531 + t^8.568/g1^21 + g1^22*t^8.738 + (2*t^8.775)/g1^4 + t^8.812/g1^30 + g1^39*t^8.944 - t^4.387/(g1^2*y) - t^6.712/(g1^14*y) + t^7.162/(g1^6*y) - (g1^2*t^7.613)/y + t^7.856/(g1^7*y) + (g1^10*t^8.063)/y + (g1*t^8.306)/y + (g1^18*t^8.513)/y + (2*t^8.55)/(g1^8*y) + (2*g1^9*t^8.756)/y + t^8.793/(g1^17*y) - (t^4.387*y)/g1^2 - (t^6.712*y)/g1^14 + (t^7.162*y)/g1^6 - g1^2*t^7.613*y + (t^7.856*y)/g1^7 + g1^10*t^8.063*y + g1*t^8.306*y + g1^18*t^8.513*y + (2*t^8.55*y)/g1^8 + 2*g1^9*t^8.756*y + (t^8.793*y)/g1^17 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55665 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6703 | 0.8361 | 0.8016 | [M:[1.1634, 1.0692, 0.8366, 0.7923, 1.0692, 0.7424], q:[0.3961, 0.4404], qb:[0.5346, 0.7673], phi:[0.4654]] | t^2.227 + t^2.377 + t^2.51 + t^2.925 + 2*t^3.208 + t^3.49 + 2*t^3.906 + t^4.039 + t^4.188 + t^4.321 + t^4.454 + 2*t^4.604 + t^4.737 + t^4.754 + t^4.886 + t^5.019 + t^5.152 + t^5.302 + 3*t^5.435 + t^5.585 + 2*t^5.717 + t^5.85 - 2*t^6. - t^4.396/y - t^4.396*y | detail | |
| 55653 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6527 | 0.803 | 0.8129 | [M:[1.1396, 1.0883, 0.8604, 0.7352, 1.0883, 0.9631], q:[0.3676, 0.4928], qb:[0.5441, 0.7721], phi:[0.4559]] | t^2.205 + t^2.581 + t^2.889 + 2*t^3.265 + t^3.419 + t^3.573 + 2*t^3.949 + t^4.103 + t^4.324 + t^4.411 + t^4.478 + t^4.632 + t^4.787 + t^5.095 + t^5.162 + 2*t^5.47 + 2*t^5.779 + t^5.846 - 2*t^6. - t^4.368/y - t^4.368*y | detail | |
| 55586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6513 | 0.8003 | 0.8138 | [M:[1.1538, 1.0769, 0.8462, 0.7692, 1.0769], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.308 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + t^5.077 + t^5.308 + 2*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 1761/2704, c: 541/676, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 14/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46725 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8122 | 0.8107 | [M:[1.1514, 1.0789, 0.8486, 0.7633], q:[0.3816, 0.467], qb:[0.5395, 0.7697], phi:[0.4605]] | t^2.29 + t^2.546 + t^2.763 + t^3.019 + t^3.237 + t^3.454 + t^3.671 + 2*t^3.928 + t^4.145 + t^4.184 + t^4.401 + t^4.58 + t^4.618 + t^4.836 + t^5.053 + t^5.092 + 2*t^5.309 + t^5.527 + t^5.565 + t^5.783 + t^5.961 - t^6. - t^4.382/y - t^4.382*y | detail |