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 |
|---|---|---|---|---|---|---|---|---|---|
| 1329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$ | ${}$ | -3 | t^2.683 + 2*t^2.881 + t^2.901 + t^3.099 + t^3.109 + t^3.337 + t^4.129 + t^4.326 + t^4.347 + t^4.523 + t^4.544 + 2*t^4.565 + t^4.762 + t^4.783 + t^5.001 + t^5.367 + t^5.564 + t^5.585 + 2*t^5.761 + t^5.782 + t^5.792 + t^5.979 + 2*t^5.99 - 3*t^6. + t^6.01 + t^6.208 + t^6.447 + t^6.675 + t^6.812 + 2*t^7.009 + 2*t^7.03 + 2*t^7.207 + 2*t^7.227 + 2*t^7.248 + 2*t^7.404 + 2*t^7.425 + 2*t^7.445 + 2*t^7.466 + t^7.622 + t^7.643 + t^7.664 + t^7.684 + t^7.861 + t^7.882 + 2*t^7.902 + t^8.05 + t^8.1 + t^8.12 + t^8.247 + t^8.258 + t^8.268 + t^8.339 + t^8.444 + t^8.455 + 2*t^8.476 + 2*t^8.642 + t^8.652 + 2*t^8.673 - 4*t^8.683 + 3*t^8.694 + t^8.849 + 3*t^8.87 - 6*t^8.881 + 3*t^8.891 - 5*t^8.901 + 2*t^8.912 - t^4.445/y - t^7.129/y - t^7.326/y + t^7.565/y + t^7.762/y + (2*t^8.564)/y + t^8.585/y + t^8.761/y + (3*t^8.782)/y + t^8.792/y + (2*t^8.979)/y + (2*t^8.99)/y - t^4.445*y - t^7.129*y - t^7.326*y + t^7.565*y + t^7.762*y + 2*t^8.564*y + t^8.585*y + t^8.761*y + 3*t^8.782*y + t^8.792*y + 2*t^8.979*y + 2*t^8.99*y | g1^8*t^2.683 + (2*t^2.881)/g2^8 + g1^4*g2^4*t^2.901 + t^3.099/(g1^4*g2^4) + (g2^2*t^3.109)/g1^2 + (g2^12*t^3.337)/g1^4 + (g1^9*t^4.129)/g2 + (g1*t^4.326)/g2^9 + g1^5*g2^3*t^4.347 + t^4.523/(g1^7*g2^17) + t^4.544/(g1^3*g2^5) + 2*g1*g2^7*t^4.565 + t^4.762/(g1^7*g2) + (g2^11*t^4.783)/g1^3 + (g2^15*t^5.001)/g1^7 + g1^16*t^5.367 + (g1^8*t^5.564)/g2^8 + g1^12*g2^4*t^5.585 + (2*t^5.761)/g2^16 + (g1^4*t^5.782)/g2^4 + g1^6*g2^2*t^5.792 + t^5.979/(g1^4*g2^12) + (2*t^5.99)/(g1^2*g2^6) - 3*t^6. + g1^2*g2^6*t^6.01 + t^6.208/(g1^6*g2^2) + (g2^14*t^6.447)/g1^6 + (g2^24*t^6.675)/g1^8 + (g1^17*t^6.812)/g2 + (2*g1^9*t^7.009)/g2^9 + 2*g1^13*g2^3*t^7.03 + (2*g1*t^7.207)/g2^17 + (2*g1^5*t^7.227)/g2^5 + 2*g1^9*g2^7*t^7.248 + (2*t^7.404)/(g1^7*g2^25) + (2*t^7.425)/(g1^3*g2^13) + (2*g1*t^7.445)/g2 + 2*g1^5*g2^11*t^7.466 + t^7.622/(g1^11*g2^21) + t^7.643/(g1^7*g2^9) + (g2^3*t^7.664)/g1^3 + g1*g2^15*t^7.684 + t^7.861/(g1^11*g2^5) + (g2^7*t^7.882)/g1^7 + (2*g2^19*t^7.902)/g1^3 + g1^24*t^8.05 + (g2^11*t^8.1)/g1^11 + (g2^23*t^8.12)/g1^7 + (g1^16*t^8.247)/g2^8 + (g1^18*t^8.258)/g2^2 + g1^20*g2^4*t^8.268 + (g2^27*t^8.339)/g1^11 + (g1^8*t^8.444)/g2^16 + (g1^10*t^8.455)/g2^10 + 2*g1^14*g2^2*t^8.476 + (2*t^8.642)/g2^24 + (g1^2*t^8.652)/g2^18 + (2*g1^6*t^8.673)/g2^6 - 4*g1^8*t^8.683 + 3*g1^10*g2^6*t^8.694 + t^8.849/(g1^6*g2^26) + (3*t^8.87)/(g1^2*g2^14) - (6*t^8.881)/g2^8 + (3*g1^2*t^8.891)/g2^2 - 5*g1^4*g2^4*t^8.901 + 2*g1^6*g2^10*t^8.912 - (g1*t^4.445)/(g2*y) - (g1^9*t^7.129)/(g2*y) - (g1*t^7.326)/(g2^9*y) + (g1*g2^7*t^7.565)/y + t^7.762/(g1^7*g2*y) + (2*g1^8*t^8.564)/(g2^8*y) + (g1^12*g2^4*t^8.585)/y + t^8.761/(g2^16*y) + (3*g1^4*t^8.782)/(g2^4*y) + (g1^6*g2^2*t^8.792)/y + (2*t^8.979)/(g1^4*g2^12*y) + (2*t^8.99)/(g1^2*g2^6*y) - (g1*t^4.445*y)/g2 - (g1^9*t^7.129*y)/g2 - (g1*t^7.326*y)/g2^9 + g1*g2^7*t^7.565*y + (t^7.762*y)/(g1^7*g2) + (2*g1^8*t^8.564*y)/g2^8 + g1^12*g2^4*t^8.585*y + (t^8.761*y)/g2^16 + (3*g1^4*t^8.782*y)/g2^4 + g1^6*g2^2*t^8.792*y + (2*t^8.979*y)/(g1^4*g2^12) + (2*t^8.99*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2385 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5909 | 0.7517 | 0.786 | [M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.082 + 2*t^2.16 + t^2.961 + t^3.039 + t^3.362 + 2*t^3.44 + t^3.518 + t^4.163 + 2*t^4.241 + 3*t^4.319 + t^4.72 + t^5.043 + 3*t^5.121 + 2*t^5.199 + t^5.443 + 3*t^5.521 + 4*t^5.599 + 2*t^5.677 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 2386 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6693 | 0.8286 | 0.8077 | [M:[0.763, 1.0983, 1.0405, 0.8439, 0.9595, 1.1561, 0.8439], q:[0.7746, 0.4624], qb:[0.3815, 0.578], phi:[0.4509]] | t^2.289 + 2*t^2.532 + t^2.879 + t^3.121 + t^3.295 + t^3.642 + t^3.884 + t^4.058 + t^4.127 + t^4.231 + t^4.474 + t^4.578 + 3*t^4.821 + 3*t^5.064 + t^5.168 + 2*t^5.41 + t^5.584 + t^5.653 + 2*t^5.827 + t^5.931 - 2*t^6. - t^4.353/y - t^4.353*y | detail | |
| 2397 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6399 | 0.7972 | 0.8027 | [M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]] | t^2.218 + t^2.417 + t^2.815 + t^3.099 + 2*t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.464 + t^4.636 + t^4.834 + t^5.033 + t^5.232 + t^5.318 + t^5.517 + t^5.603 + t^5.629 + t^5.801 + t^5.887 + t^5.914 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |