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 |
|---|---|---|---|---|---|---|---|---|---|
| 46681 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | [M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. + t^6.089 + t^6.178 + t^6.492 - t^6.538 + t^6.659 + t^6.748 + t^6.794 + t^6.883 + t^6.93 + 2*t^6.973 + t^7.019 + t^7.062 + 2*t^7.108 + 3*t^7.197 + t^7.243 + t^7.286 + 2*t^7.332 + t^7.375 + t^7.422 + t^7.468 + 2*t^7.511 + t^7.589 + t^7.6 + t^7.646 + t^7.678 + t^7.735 + t^7.767 + t^7.824 + t^7.856 + t^7.902 + t^7.913 - t^7.96 + t^7.991 + t^8.049 + t^8.081 + t^8.138 + t^8.17 + 2*t^8.216 + t^8.259 + 2*t^8.305 + 2*t^8.394 - t^8.44 + t^8.452 + 2*t^8.483 - t^8.53 - t^8.619 + t^8.708 + 2*t^8.797 + t^8.8 - 3*t^8.843 + t^8.889 - t^8.932 - t^4.422/y - t^6.951/y - t^7.04/y + t^7.803/y + t^7.892/y + t^8.148/y + t^8.373/y + (2*t^8.462)/y + t^8.551/y + t^8.597/y + (2*t^8.686)/y + (3*t^8.776)/y + t^8.865/y + t^8.911/y - t^4.422*y - t^6.951*y - t^7.04*y + t^7.803*y + t^7.892*y + t^8.148*y + t^8.373*y + 2*t^8.462*y + t^8.551*y + t^8.597*y + 2*t^8.686*y + 3*t^8.776*y + t^8.865*y + t^8.911*y | t^2.53/g1^6 + (g2*t^2.619)/g1^3 + t^2.843/g1^2 + g1*g2*t^2.932 + t^3.068/(g1*g2) + g1^2*t^3.157 + g1^5*g2*t^3.246 + (g2^2*t^4.129)/g1 + t^4.265/g1^3 + g2*t^4.354 + t^4.4/(g1^5*g2^2) + t^4.489/(g1^2*g2) + g1*t^4.578 + g1^4*g2*t^4.668 + (g1^2*t^4.803)/g2 + g1^5*t^4.892 + t^5.059/g1^12 + (g2*t^5.148)/g1^9 + g1^9*t^5.206 + (g2^2*t^5.237)/g1^6 + t^5.373/g1^8 + (g2*t^5.462)/g1^5 + (g2^2*t^5.551)/g1^2 + (2*t^5.686)/g1^4 + (2*g2*t^5.776)/g1 + g1^2*g2^2*t^5.865 - 2*t^6. + g1^3*g2*t^6.089 + g1^6*g2^2*t^6.178 + g1^10*g2^2*t^6.492 - (g1^5*t^6.538)/g2 + (g2^2*t^6.659)/g1^7 + (g2^3*t^6.748)/g1^4 + t^6.794/g1^9 + (g2*t^6.883)/g1^6 + t^6.93/(g1^11*g2^2) + (2*g2^2*t^6.973)/g1^3 + t^7.019/(g1^8*g2) + g2^3*t^7.062 + (2*t^7.108)/g1^5 + (3*g2*t^7.197)/g1^2 + t^7.243/(g1^7*g2^2) + g1*g2^2*t^7.286 + (2*t^7.332)/(g1^4*g2) + g1^4*g2^3*t^7.375 + t^7.422/g1 + t^7.468/(g1^6*g2^3) + 2*g1^2*g2*t^7.511 + t^7.589/g1^18 + g1^5*g2^2*t^7.6 + t^7.646/g2 + (g2*t^7.678)/g1^15 + g1^3*t^7.735 + (g2^2*t^7.767)/g1^12 + g1^6*g2*t^7.824 + (g2^3*t^7.856)/g1^9 + t^7.902/g1^14 + g1^9*g2^2*t^7.913 - (g1^4*t^7.96)/g2 + (g2*t^7.991)/g1^11 + g1^7*t^8.049 + (g2^2*t^8.081)/g1^8 + g1^10*g2*t^8.138 + (g2^3*t^8.17)/g1^5 + (2*t^8.216)/g1^10 + (g2^4*t^8.259)/g1^2 + (2*g2*t^8.305)/g1^7 + (2*g2^2*t^8.394)/g1^4 - t^8.44/(g1^9*g2) + g1^14*g2*t^8.452 + (2*g2^3*t^8.483)/g1 - t^8.53/g1^6 - (g2*t^8.619)/g1^3 + g2^2*t^8.708 + 2*g1^3*g2^3*t^8.797 + t^8.8/(g1^10*g2^4) - (3*t^8.843)/g1^2 + t^8.889/(g1^7*g2^3) - g1*g2*t^8.932 - t^4.422/(g1*y) - t^6.951/(g1^7*y) - (g2*t^7.04)/(g1^4*y) + (g1^2*t^7.803)/(g2*y) + (g1^5*t^7.892)/y + (g2*t^8.148)/(g1^9*y) + t^8.373/(g1^8*y) + (2*g2*t^8.462)/(g1^5*y) + (g2^2*t^8.551)/(g1^2*y) + t^8.597/(g1^7*g2*y) + (2*t^8.686)/(g1^4*y) + (3*g2*t^8.776)/(g1*y) + (g1^2*g2^2*t^8.865)/y + t^8.911/(g1^3*g2*y) - (t^4.422*y)/g1 - (t^6.951*y)/g1^7 - (g2*t^7.04*y)/g1^4 + (g1^2*t^7.803*y)/g2 + g1^5*t^7.892*y + (g2*t^8.148*y)/g1^9 + (t^8.373*y)/g1^8 + (2*g2*t^8.462*y)/g1^5 + (g2^2*t^8.551*y)/g1^2 + (t^8.597*y)/(g1^7*g2) + (2*t^8.686*y)/g1^4 + (3*g2*t^8.776*y)/g1 + g1^2*g2^2*t^8.865*y + (t^8.911*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 47190 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0025, 0.8407, 0.9975, 1.0531, 0.8964, 0.9975], q:[0.5265, 0.4709], qb:[0.6327, 0.476], phi:[0.4735]] | t^2.522 + t^2.689 + t^2.841 + 2*t^2.992 + t^3.159 + t^3.326 + t^4.246 + t^4.261 + t^4.276 + t^4.413 + t^4.428 + t^4.58 + t^4.731 + t^4.747 + t^4.898 + t^5.044 + t^5.211 + t^5.217 + t^5.363 + t^5.378 + t^5.514 + 3*t^5.681 + t^5.833 + t^5.848 + 2*t^5.985 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 47097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7153 | 0.8822 | 0.8108 | [M:[0.9784, 0.822, 1.0216, 1.0593, 0.8597, 0.9407], q:[0.5297, 0.4919], qb:[0.6484, 0.4488], phi:[0.4703]] | t^2.466 + t^2.579 + 2*t^2.822 + t^2.935 + t^3.065 + t^3.291 + t^4.103 + t^4.233 + t^4.346 + t^4.362 + t^4.476 + t^4.589 + t^4.702 + t^4.832 + t^4.932 + t^4.945 + t^5.045 + t^5.158 + 2*t^5.288 + t^5.301 + 2*t^5.401 + t^5.514 + 3*t^5.644 + 2*t^5.757 + t^5.871 + t^5.887 - 3*t^6. - t^4.411/y - t^4.411*y | detail | |
| 47244 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6931 | 0.8486 | 0.8169 | [M:[1.0269, 0.9731, 0.9731, 1.009, 1.009], q:[0.5045, 0.4687], qb:[0.5224, 0.5224], phi:[0.4955]] | 2*t^2.919 + t^2.973 + 2*t^3.027 + t^3.081 + t^3.134 + t^4.299 + t^4.406 + 2*t^4.46 + t^4.513 + 2*t^4.567 + 3*t^4.621 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. - t^4.487/y - t^4.487*y | detail | |
| 47106 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.6958 | 0.8515 | 0.8172 | [M:[1.0366, 0.9451, 0.9634, 1.0183, 1.0], q:[0.5092, 0.4542], qb:[0.5458, 0.5275], phi:[0.4908]] | t^2.835 + t^2.89 + t^2.945 + t^3. + t^3.055 + t^3.11 + t^3.22 + t^4.198 + t^4.363 + t^4.418 + t^4.473 + t^4.527 + t^4.582 + 2*t^4.637 + t^4.692 + t^4.747 + t^5.67 + t^5.78 + t^5.835 + 2*t^5.89 + t^5.945 - t^6. - t^4.473/y - t^4.473*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46236 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7008 | 0.8558 | 0.8188 | [M:[1.0, 0.8827, 1.0, 1.0391], q:[0.5195, 0.4805], qb:[0.5977, 0.4805], phi:[0.4805]] | t^2.648 + t^2.883 + 2*t^3. + t^3.117 + 2*t^3.235 + 3*t^4.324 + 2*t^4.441 + t^4.559 + 2*t^4.676 + t^4.793 + t^5.028 + t^5.296 + t^5.531 + t^5.765 + 2*t^5.883 - 2*t^6. - t^4.441/y - t^4.441*y | detail |