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 |
|---|---|---|---|---|---|---|---|---|---|
| 57304 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4239 | 1.604 | 0.8878 | [X:[1.3732], M:[0.7835, 1.0969], q:[0.4515, 0.6082], qb:[0.4515, 0.6082], phi:[0.3134]] | [X:[[0, 0, 4]], M:[[0, 0, -5], [0, 0, -7]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.351 + t^2.821 + 2*t^3.179 + t^3.291 + t^3.649 + 3*t^4.12 + 2*t^4.59 + t^4.701 + 2*t^5.06 + t^5.171 + 2*t^5.474 + t^5.53 + 2*t^5.641 + 2*t^5.944 - t^6. + t^6.111 + 3*t^6.359 + 2*t^6.414 + 2*t^6.47 + t^6.581 + 2*t^6.829 + 4*t^6.885 + 3*t^6.94 + t^7.052 + 7*t^7.299 + 3*t^7.41 + t^7.522 + 6*t^7.769 + 3*t^7.88 + 2*t^7.992 + 9*t^8.239 - t^8.351 + 2*t^8.462 + 4*t^8.654 + 7*t^8.709 - 2*t^8.765 + 2*t^8.821 + 2*t^8.932 + t^8.821/y^2 - t^3.94/y - t^4.88/y - t^6.291/y - t^6.761/y - (2*t^7.12)/y - (2*t^7.231)/y - t^7.701/y - (2*t^8.06)/y + t^8.53/y - t^3.94*y - t^4.88*y - t^6.291*y - t^6.761*y - 2*t^7.12*y - 2*t^7.231*y - t^7.701*y - 2*t^8.06*y + t^8.53*y + t^8.821*y^2 | t^2.351/g3^5 + t^2.821/g3^6 + (g1*g3^5*t^3.179)/g2 + (g2*g3^7*t^3.179)/g1 + t^3.291/g3^7 + g3^5*t^3.649 + (g1*g3^3*t^4.12)/g2 + g3^4*t^4.12 + (g2*g3^5*t^4.12)/g1 + 2*g3^3*t^4.59 + t^4.701/g3^10 + (g1*g3*t^5.06)/g2 + (g2*g3^3*t^5.06)/g1 + t^5.171/g3^11 + (g1^2*g2*t^5.474)/g3^2 + (g3^17*t^5.474)/(g1^2*g2) + g3*t^5.53 + (2*t^5.641)/g3^12 + (g1*g2^2*t^5.944)/g3^2 + (g3^15*t^5.944)/(g1*g2^2) - 3*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + t^6.111/g3^13 + (g1^2*g3^10*t^6.359)/g2^2 + g3^12*t^6.359 + (g2^2*g3^14*t^6.359)/g1^2 + (g1^2*g2*t^6.414)/g3^4 + (g3^15*t^6.414)/(g1^2*g2) + (2*t^6.47)/g3 + t^6.581/g3^14 + (g1*g3^10*t^6.829)/g2 + (g2*g3^12*t^6.829)/g1 + (g1^3*t^6.885)/g3^6 + (g1*g2^2*t^6.885)/g3^4 + (g3^13*t^6.885)/(g1*g2^2) + (g3^15*t^6.885)/g1^3 + (g1*t^6.94)/(g2*g3^3) + t^6.94/g3^2 + (g2*t^6.94)/(g1*g3) + t^7.052/g3^15 + (g1^2*g3^8*t^7.299)/g2^2 + (g1*g3^9*t^7.299)/g2 + 3*g3^10*t^7.299 + (g2*g3^11*t^7.299)/g1 + (g2^2*g3^12*t^7.299)/g1^2 + (g1^2*g2*t^7.355)/g3^6 - (g1*g2^2*t^7.355)/g3^5 - (g3^12*t^7.355)/(g1*g2^2) + (g3^13*t^7.355)/(g1^2*g2) + (3*t^7.41)/g3^3 + t^7.522/g3^16 + (3*g1*g3^8*t^7.769)/g2 + (3*g2*g3^10*t^7.769)/g1 - (g1^2*g2*t^7.825)/g3^7 + (g1*g2^2*t^7.825)/g3^6 + (g3^11*t^7.825)/(g1*g2^2) - (g3^12*t^7.825)/(g1^2*g2) + (g1*t^7.88)/(g2*g3^5) + t^7.88/g3^4 + (g2*t^7.88)/(g1*g3^3) + (2*t^7.992)/g3^17 + (2*g1^2*g3^6*t^8.239)/g2^2 + 5*g3^8*t^8.239 + (2*g2^2*g3^10*t^8.239)/g1^2 - (g1^3*t^8.295)/g3^9 + (g1^2*g2*t^8.295)/g3^8 - (g1*g2^2*t^8.295)/g3^7 + (g2^3*t^8.295)/g3^6 + (g3^9*t^8.295)/g2^3 - (g3^10*t^8.295)/(g1*g2^2) + (g3^11*t^8.295)/(g1^2*g2) - (g3^12*t^8.295)/g1^3 - t^8.351/g3^5 + (2*t^8.462)/g3^18 + g1^3*g3^3*t^8.654 + g1*g2^2*g3^5*t^8.654 + (g3^22*t^8.654)/(g1*g2^2) + (g3^24*t^8.654)/g1^3 + (4*g1*g3^6*t^8.709)/g2 - g3^7*t^8.709 + (4*g2*g3^8*t^8.709)/g1 - (g1^2*g2*t^8.765)/g3^9 + (g1*g2^2*t^8.765)/g3^8 - (g2^3*t^8.765)/g3^7 - (g3^8*t^8.765)/g2^3 + (g3^9*t^8.765)/(g1*g2^2) - (g3^10*t^8.765)/(g1^2*g2) + (g1*t^8.821)/(g2*g3^7) + (g2*t^8.821)/(g1*g3^5) + (2*t^8.932)/g3^19 + t^8.821/(g3^6*y^2) - t^3.94/(g3^2*y) - t^4.88/(g3^4*y) - t^6.291/(g3^7*y) - t^6.761/(g3^8*y) - (g1*g3^3*t^7.12)/(g2*y) - (g2*g3^5*t^7.12)/(g1*y) - (2*t^7.231)/(g3^9*y) - t^7.701/(g3^10*y) - (g1*g3*t^8.06)/(g2*y) - (g2*g3^3*t^8.06)/(g1*y) + (g1*t^8.53)/(g2*y) - (g3*t^8.53)/y + (g2*g3^2*t^8.53)/(g1*y) - (t^3.94*y)/g3^2 - (t^4.88*y)/g3^4 - (t^6.291*y)/g3^7 - (t^6.761*y)/g3^8 - (g1*g3^3*t^7.12*y)/g2 - (g2*g3^5*t^7.12*y)/g1 - (2*t^7.231*y)/g3^9 - (t^7.701*y)/g3^10 - (g1*g3*t^8.06*y)/g2 - (g2*g3^3*t^8.06*y)/g1 + (g1*t^8.53*y)/g2 - g3*t^8.53*y + (g2*g3^2*t^8.53*y)/g1 + (t^8.821*y^2)/g3^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57959 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3863 | 1.5852 | 0.8745 | [X:[1.2727], M:[0.9091, 1.2727], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | 3*t^2.73 + 2*t^3.27 + 4*t^3.82 + 2*t^4.36 + 4*t^4.91 + 7*t^5.45 + 4*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 29523/21296, c: 16879/10648, X1: 14/11, M1: 10/11, M2: 14/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |
| 57961 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4197 | 1.6011 | 0.8866 | [X:[1.3547], M:[0.8066, 1.1293, 1.032], q:[0.4354, 0.5967], qb:[0.4354, 0.5967], phi:[0.3227]] | t^2.42 + 3*t^3.1 + t^3.39 + t^3.58 + 3*t^4.06 + 2*t^4.55 + t^4.84 + 2*t^5.03 + 2*t^5.37 + 2*t^5.52 + t^5.81 + 2*t^5.85 - 3*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 57962 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4417 | 1.6343 | 0.8821 | [X:[1.3815], M:[0.7731, 1.0824, 0.7731], q:[0.4588, 0.6134], qb:[0.4588, 0.6134], phi:[0.3092]] | 2*t^2.32 + t^2.78 + 2*t^3.22 + t^3.25 + 3*t^4.14 + 2*t^4.61 + 3*t^4.64 + 2*t^5.07 + 2*t^5.1 + 2*t^5.52 + 3*t^5.54 + 3*t^5.57 + 2*t^5.98 - 2*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y | detail | |
| 57960 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4136 | 1.588 | 0.8902 | [X:[1.4034], M:[0.7458, 1.0441], q:[0.434, 0.5963], qb:[0.5219, 0.6579], phi:[0.2983]] | t^2.24 + t^2.68 + t^3.13 + t^3.28 + t^3.35 + t^3.76 + t^4.17 + t^4.21 + t^4.25 + t^4.47 + 2*t^4.66 + t^4.92 + t^5.07 + t^5.14 + t^5.29 + 2*t^5.37 + t^5.55 + t^5.77 + t^5.82 + t^5.96 - 2*t^6. - t^3.89/y - t^4.79/y - t^3.89*y - t^4.79*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |