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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-8, 0]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | 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^6.253 + t^6.267 + t^6.704 + t^6.788 + 2*t^6.93 + t^6.944 + 2*t^6.958 + 2*t^7.155 + t^7.169 + 2*t^7.183 + 2*t^7.211 + 2*t^7.381 + t^7.395 + 2*t^7.409 + 2*t^7.437 + t^7.451 + 2*t^7.465 + t^7.634 - t^7.648 + t^7.662 + t^7.69 - t^7.704 + t^7.718 + t^7.902 + t^7.915 - t^7.929 + t^7.943 + 2*t^7.972 + t^8.127 + 2*t^8.141 + t^8.155 + t^8.197 - t^8.211 + t^8.225 + t^8.352 + 2*t^8.366 + t^8.38 + 2*t^8.394 + t^8.478 + 2*t^8.578 + 3*t^8.592 + 2*t^8.606 + 3*t^8.62 - 3*t^8.634 + 2*t^8.648 + t^8.817 + 2*t^8.845 - 5*t^8.859 - t^8.873 - 6*t^8.887 + 2*t^8.901 - t^4.437/y - t^7.071/y - t^7.296/y - t^7.31/y + t^7.563/y + t^7.577/y + t^7.803/y + (2*t^8.493)/y + t^8.507/y + t^8.521/y + t^8.719/y + (2*t^8.733)/y + (3*t^8.747)/y + t^8.761/y + (2*t^8.972)/y + t^8.986/y - t^4.437*y - t^7.071*y - t^7.296*y - t^7.31*y + t^7.563*y + t^7.577*y + t^7.803*y + 2*t^8.493*y + t^8.507*y + t^8.521*y + t^8.719*y + 2*t^8.733*y + 3*t^8.747*y + t^8.761*y + 2*t^8.972*y + t^8.986*y | (g1^16*t^2.634)/g2^8 + (2*t^2.859)/g1^8 + (g1^2*t^2.873)/g2^2 + (g1^12*t^2.887)/g2^4 + (g2^4*t^3.113)/g1^12 + g1^4*g2^4*t^3.394 + (g1^17*t^4.071)/g2^9 + t^4.296/(g1^7*g2) + (g1^13*t^4.324)/g2^5 + (g2^7*t^4.521)/g1^31 + (g2^3*t^4.549)/g1^11 + (2*g1^9*t^4.577)/g2 + (g2^7*t^4.803)/g1^15 + g1^5*g2^3*t^4.831 + g1*g2^7*t^5.084 + (g1^32*t^5.268)/g2^16 + (g1^8*t^5.493)/g2^8 + (g1^18*t^5.507)/g2^10 + (g1^28*t^5.521)/g2^12 + (2*t^5.719)/g1^16 + (2*t^5.733)/(g1^6*g2^2) + (2*g1^4*t^5.747)/g2^4 + (g1^14*t^5.761)/g2^6 + (g2^4*t^5.972)/g1^20 + (g2^2*t^5.986)/g1^10 - 3*t^6. - (g2^4*t^6.253)/g1^4 + g1^6*g2^2*t^6.267 + (g1^33*t^6.704)/g2^17 + g1^8*g2^8*t^6.788 + (2*g1^9*t^6.93)/g2^9 + (g1^19*t^6.944)/g2^11 + (2*g1^29*t^6.958)/g2^13 + (2*t^7.155)/(g1^15*g2) + t^7.169/(g1^5*g2^3) + (2*g1^5*t^7.183)/g2^5 + (2*g1^25*t^7.211)/g2^9 + (2*g2^7*t^7.381)/g1^39 + (g2^5*t^7.395)/g1^29 + (2*g2^3*t^7.409)/g1^19 + (2*g1*t^7.437)/g2 + (g1^11*t^7.451)/g2^3 + (2*g1^21*t^7.465)/g2^5 + (g2^11*t^7.634)/g1^43 - (g2^9*t^7.648)/g1^33 + (g2^7*t^7.662)/g1^23 + (g2^3*t^7.69)/g1^3 - g1^7*g2*t^7.704 + (g1^17*t^7.718)/g2 + (g1^48*t^7.902)/g2^24 + (g2^11*t^7.915)/g1^27 - (g2^9*t^7.929)/g1^17 + (g2^7*t^7.943)/g1^7 + 2*g1^13*g2^3*t^7.972 + (g1^24*t^8.127)/g2^16 + (2*g1^34*t^8.141)/g2^18 + (g1^44*t^8.155)/g2^20 + (g2^11*t^8.197)/g1^11 - (g2^9*t^8.211)/g1 + g1^9*g2^7*t^8.225 + t^8.352/g2^8 + (2*g1^10*t^8.366)/g2^10 + (g1^20*t^8.38)/g2^12 + (2*g1^30*t^8.394)/g2^14 + g1^5*g2^11*t^8.478 + (2*t^8.578)/g1^24 + (3*t^8.592)/(g1^14*g2^2) + (2*t^8.606)/(g1^4*g2^4) + (3*g1^6*t^8.62)/g2^6 - (3*g1^16*t^8.634)/g2^8 + (2*g1^26*t^8.648)/g2^10 + (g2^6*t^8.817)/g1^38 + (2*g2^2*t^8.845)/g1^18 - (5*t^8.859)/g1^8 - (g1^2*t^8.873)/g2^2 - (6*g1^12*t^8.887)/g2^4 + (2*g1^22*t^8.901)/g2^6 - (g1*t^4.437)/(g2*y) - (g1^17*t^7.071)/(g2^9*y) - t^7.296/(g1^7*g2*y) - (g1^3*t^7.31)/(g2^3*y) + (g2*t^7.563)/(g1*y) + (g1^9*t^7.577)/(g2*y) + (g2^7*t^7.803)/(g1^15*y) + (2*g1^8*t^8.493)/(g2^8*y) + (g1^18*t^8.507)/(g2^10*y) + (g1^28*t^8.521)/(g2^12*y) + t^8.719/(g1^16*y) + (2*t^8.733)/(g1^6*g2^2*y) + (3*g1^4*t^8.747)/(g2^4*y) + (g1^14*t^8.761)/(g2^6*y) + (2*g2^4*t^8.972)/(g1^20*y) + (g2^2*t^8.986)/(g1^10*y) - (g1*t^4.437*y)/g2 - (g1^17*t^7.071*y)/g2^9 - (t^7.296*y)/(g1^7*g2) - (g1^3*t^7.31*y)/g2^3 + (g2*t^7.563*y)/g1 + (g1^9*t^7.577*y)/g2 + (g2^7*t^7.803*y)/g1^15 + (2*g1^8*t^8.493*y)/g2^8 + (g1^18*t^8.507*y)/g2^10 + (g1^28*t^8.521*y)/g2^12 + (t^8.719*y)/g1^16 + (2*t^8.733*y)/(g1^6*g2^2) + (3*g1^4*t^8.747*y)/g2^4 + (g1^14*t^8.761*y)/g2^6 + (2*g2^4*t^8.972*y)/g1^20 + (g2^2*t^8.986*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 |
---|---|---|---|---|---|---|---|---|
53794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 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]] | 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^4.445/y - t^4.445*y | detail | |
52327 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6433 | 0.803 | 0.801 | [M:[0.8774, 1.1981, 1.1226, 0.7264, 0.8019, 1.1226], q:[0.3632, 0.7594], qb:[0.4387, 0.5142], phi:[0.4811]] | t^2.179 + t^2.406 + t^2.859 + t^2.887 + 2*t^3.368 + t^3.594 + t^3.622 + t^3.849 + 2*t^4.076 + t^4.302 + t^4.358 + t^4.529 + t^4.585 + t^4.811 + t^5.038 + t^5.066 + t^5.264 + t^5.292 + t^5.547 + t^5.717 + t^5.745 + 2*t^5.773 + t^5.802 - 2*t^6. - t^4.443/y - t^4.443*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46737 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. - t^4.447/y - t^4.447*y | detail |