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 |
|---|---|---|---|---|---|---|---|---|---|
| 53794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7018 | 0.8592 | 0.8168 | [M:[1.0398, 1.0329, 0.9602, 0.8944, 0.9671, 0.9602, 1.0363], q:[0.4472, 0.513], qb:[0.5199, 0.5926], phi:[0.4818]] | [M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-8, 0], [-2, 2]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$ | ${}$ | -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 | (g1^16*t^2.683)/g2^8 + (2*t^2.881)/g1^8 + (g1^12*t^2.901)/g2^4 + (g2^4*t^3.099)/g1^12 + (g2^2*t^3.109)/g1^2 + g1^4*g2^4*t^3.337 + (g1^17*t^4.129)/g2^9 + t^4.326/(g1^7*g2) + (g1^13*t^4.347)/g2^5 + (g2^7*t^4.523)/g1^31 + (g2^3*t^4.544)/g1^11 + (2*g1^9*t^4.565)/g2 + (g2^7*t^4.762)/g1^15 + g1^5*g2^3*t^4.783 + g1*g2^7*t^5.001 + (g1^32*t^5.367)/g2^16 + (g1^8*t^5.564)/g2^8 + (g1^28*t^5.585)/g2^12 + (2*t^5.761)/g1^16 + (g1^4*t^5.782)/g2^4 + (g1^14*t^5.792)/g2^6 + (g2^4*t^5.979)/g1^20 + (2*g2^2*t^5.99)/g1^10 - 3*t^6. + (g1^10*t^6.01)/g2^2 + (g2^6*t^6.208)/g1^14 + g1^2*g2^6*t^6.447 + g1^8*g2^8*t^6.675 + (g1^33*t^6.812)/g2^17 + (2*g1^9*t^7.009)/g2^9 + (2*g1^29*t^7.03)/g2^13 + (2*t^7.207)/(g1^15*g2) + (2*g1^5*t^7.227)/g2^5 + (2*g1^25*t^7.248)/g2^9 + (2*g2^7*t^7.404)/g1^39 + (2*g2^3*t^7.425)/g1^19 + (2*g1*t^7.445)/g2 + (2*g1^21*t^7.466)/g2^5 + (g2^11*t^7.622)/g1^43 + (g2^7*t^7.643)/g1^23 + (g2^3*t^7.664)/g1^3 + (g1^17*t^7.684)/g2 + (g2^11*t^7.861)/g1^27 + (g2^7*t^7.882)/g1^7 + 2*g1^13*g2^3*t^7.902 + (g1^48*t^8.05)/g2^24 + (g2^11*t^8.1)/g1^11 + g1^9*g2^7*t^8.12 + (g1^24*t^8.247)/g2^16 + (g1^34*t^8.258)/g2^18 + (g1^44*t^8.268)/g2^20 + g1^5*g2^11*t^8.339 + t^8.444/g2^8 + (g1^10*t^8.455)/g2^10 + (2*g1^30*t^8.476)/g2^14 + (2*t^8.642)/g1^24 + t^8.652/(g1^14*g2^2) + (2*g1^6*t^8.673)/g2^6 - (4*g1^16*t^8.683)/g2^8 + (3*g1^26*t^8.694)/g2^10 + (g2^6*t^8.849)/g1^38 + (3*g2^2*t^8.87)/g1^18 - (6*t^8.881)/g1^8 + (3*g1^2*t^8.891)/g2^2 - (5*g1^12*t^8.901)/g2^4 + (2*g1^22*t^8.912)/g2^6 - (g1*t^4.445)/(g2*y) - (g1^17*t^7.129)/(g2^9*y) - t^7.326/(g1^7*g2*y) + (g1^9*t^7.565)/(g2*y) + (g2^7*t^7.762)/(g1^15*y) + (2*g1^8*t^8.564)/(g2^8*y) + (g1^28*t^8.585)/(g2^12*y) + t^8.761/(g1^16*y) + (3*g1^4*t^8.782)/(g2^4*y) + (g1^14*t^8.792)/(g2^6*y) + (2*g2^4*t^8.979)/(g1^20*y) + (2*g2^2*t^8.99)/(g1^10*y) - (g1*t^4.445*y)/g2 - (g1^17*t^7.129*y)/g2^9 - (t^7.326*y)/(g1^7*g2) + (g1^9*t^7.565*y)/g2 + (g2^7*t^7.762*y)/g1^15 + (2*g1^8*t^8.564*y)/g2^8 + (g1^28*t^8.585*y)/g2^12 + (t^8.761*y)/g1^16 + (3*g1^4*t^8.782*y)/g2^4 + (g1^14*t^8.792*y)/g2^6 + (2*g2^4*t^8.979*y)/g1^20 + (2*g2^2*t^8.99*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56543 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.7059 | 0.8668 | 0.8143 | [M:[1.0273, 1.0545, 0.9727, 0.8637, 0.9455, 0.9727, 1.0409, 0.9455], q:[0.4319, 0.5408], qb:[0.5137, 0.5955], phi:[0.4796]] | t^2.591 + 2*t^2.837 + 2*t^2.918 + t^3.123 + t^3.327 + t^4.03 + t^4.275 + t^4.357 + 2*t^4.521 + t^4.602 + t^4.683 + t^4.766 + t^4.847 + t^5.011 + t^5.182 + 2*t^5.428 + t^5.509 + 2*t^5.673 + t^5.714 + 2*t^5.755 + 2*t^5.836 + 2*t^5.959 - 4*t^6. - t^4.439/y - t^4.439*y | detail | |
| 56544 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7145 | 0.883 | 0.8091 | [M:[1.0704, 1.031, 0.9296, 0.8676, 0.969, 0.9296, 1.0507, 0.8281], q:[0.4338, 0.4958], qb:[0.5352, 0.6366], phi:[0.4746]] | t^2.484 + t^2.603 + 2*t^2.789 + t^2.907 + t^3.093 + t^3.152 + t^4.027 + t^4.213 + t^4.331 + t^4.398 + t^4.517 + 2*t^4.635 + t^4.821 + t^4.94 + t^4.969 + t^5.087 + t^5.206 + t^5.244 + 2*t^5.273 + 2*t^5.391 + t^5.51 + 3*t^5.577 + t^5.637 + t^5.696 + t^5.755 + t^5.882 + 2*t^5.941 - 3*t^6. - t^4.424/y - t^4.424*y | detail | |
| 56541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6693 | 0.8286 | 0.8077 | [M:[1.1561, 1.0405, 0.8439, 0.763, 0.9595, 0.8439, 1.0983], q:[0.3815, 0.4624], qb:[0.578, 0.7746], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48187 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^4.437/y - t^4.437*y | detail |