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 |
---|---|---|---|---|---|---|---|---|---|
46880 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.699 | 0.8725 | 0.8011 | [M:[0.974, 0.9642, 1.1248, 0.8752, 0.697, 0.7763], q:[0.5933, 0.4327], qb:[0.4424, 0.7812], phi:[0.4376]] | [M:[[1, -7], [-1, -11], [0, 4], [0, -4], [2, 10], [-1, -1]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.091 + t^2.329 + 2*t^2.625 + t^2.893 + t^2.922 + t^3.642 + t^3.938 + t^3.967 + t^4.124 + t^4.182 + t^4.391 + 2*t^4.42 + t^4.658 + 2*t^4.716 + t^4.873 + 2*t^4.955 + t^4.984 + t^5.013 + t^5.222 + 4*t^5.251 + t^5.518 + t^5.547 + t^5.733 + t^5.785 + t^5.815 + t^5.844 - 3*t^6. + t^6.058 + t^6.215 + 2*t^6.267 + t^6.273 + 2*t^6.511 + t^6.534 + 2*t^6.564 + 2*t^6.593 + t^6.72 + 2*t^6.749 + 2*t^6.807 + t^6.86 + t^6.889 + t^6.964 + t^6.987 + t^7.016 + 3*t^7.045 + t^7.075 + t^7.104 + t^7.202 + 2*t^7.284 + 3*t^7.342 + t^7.498 + t^7.551 + 4*t^7.58 + t^7.609 + t^7.638 - t^7.795 + t^7.824 + t^7.847 + 6*t^7.876 + 2*t^7.906 + 2*t^7.935 - 3*t^8.091 + t^8.114 + 2*t^8.144 + t^8.149 + 2*t^8.173 + t^8.306 - 4*t^8.329 + t^8.358 + t^8.364 + t^8.387 + t^8.411 + t^8.44 + t^8.469 + t^8.514 + 2*t^8.602 - 5*t^8.625 + t^8.678 + 2*t^8.684 + t^8.707 + t^8.737 + t^8.766 + 3*t^8.84 + 2*t^8.898 - 3*t^8.922 + t^8.98 + t^8.996 - t^4.313/y - t^6.404/y - t^6.642/y - t^6.938/y - t^7.205/y - t^7.235/y + t^7.391/y + (2*t^7.42)/y + t^7.687/y + (2*t^7.716)/y + (2*t^7.955)/y + (2*t^7.984)/y + t^8.013/y + (2*t^8.222)/y + (2*t^8.251)/y - t^8.495/y + (2*t^8.518)/y + (2*t^8.547)/y + t^8.815/y - t^4.313*y - t^6.404*y - t^6.642*y - t^6.938*y - t^7.205*y - t^7.235*y + t^7.391*y + 2*t^7.42*y + t^7.687*y + 2*t^7.716*y + 2*t^7.955*y + 2*t^7.984*y + t^8.013*y + 2*t^8.222*y + 2*t^8.251*y - t^8.495*y + 2*t^8.518*y + 2*t^8.547*y + t^8.815*y | g1^2*g2^10*t^2.091 + t^2.329/(g1*g2) + (2*t^2.625)/g2^4 + t^2.893/(g1*g2^11) + (g1*t^2.922)/g2^7 + t^3.642/(g1*g2^3) + t^3.938/g2^6 + (g1^2*t^3.967)/g2^2 + g2^12*t^4.124 + g1^4*g2^20*t^4.182 + (g2^5*t^4.391)/g1 + 2*g1*g2^9*t^4.42 + t^4.658/(g1^2*g2^2) + 2*g1^2*g2^6*t^4.716 + g2^20*t^4.873 + (2*t^4.955)/(g1*g2^5) + (g1*t^4.984)/g2 + g1^3*g2^3*t^5.013 + t^5.222/(g1^2*g2^12) + (4*t^5.251)/g2^8 + t^5.518/(g1*g2^15) + (g1*t^5.547)/g2^11 + g1*g2^7*t^5.733 + t^5.785/(g1^2*g2^22) + t^5.815/g2^18 + (g1^2*t^5.844)/g2^14 - 3*t^6. + g1^4*g2^8*t^6.058 + g1^2*g2^22*t^6.215 + (2*t^6.267)/(g1*g2^7) + g1^6*g2^30*t^6.273 + 2*g1^3*g2^19*t^6.511 + t^6.534/(g1^2*g2^14) + (2*t^6.564)/g2^10 + (2*g1^2*t^6.593)/g2^6 + (g2^4*t^6.72)/g1^2 + 2*g2^8*t^6.749 + 2*g1^4*g2^16*t^6.807 + (g1*t^6.86)/g2^13 + (g1^3*t^6.889)/g2^9 + g1^2*g2^30*t^6.964 + t^6.987/(g1^3*g2^3) + (g2*t^7.016)/g1 + 3*g1*g2^5*t^7.045 + g1^3*g2^9*t^7.075 + g1^5*g2^13*t^7.104 + (g2^19*t^7.202)/g1 + (2*t^7.284)/(g1^2*g2^6) + 3*g1^2*g2^2*t^7.342 + g2^16*t^7.498 + t^7.551/(g1^3*g2^13) + (4*t^7.58)/(g1*g2^9) + (g1*t^7.609)/g2^5 + (g1^3*t^7.638)/g2 - g1*g2^13*t^7.795 + g1^3*g2^17*t^7.824 + t^7.847/(g1^2*g2^16) + (6*t^7.876)/g2^12 + (2*g1^2*t^7.906)/g2^8 + (2*g1^4*t^7.935)/g2^4 - 3*g1^2*g2^10*t^8.091 + t^8.114/(g1^3*g2^23) + (2*t^8.144)/(g1*g2^19) + g1^6*g2^18*t^8.149 + (2*g1*t^8.173)/g2^15 + g1^4*g2^32*t^8.306 - (4*t^8.329)/(g1*g2) + g1*g2^3*t^8.358 + g1^8*g2^40*t^8.364 + g1^3*g2^7*t^8.387 + t^8.411/(g1^2*g2^26) + t^8.44/g2^22 + (g1^2*t^8.469)/g2^18 + (g2^17*t^8.514)/g1 + 2*g1^5*g2^29*t^8.602 - (5*t^8.625)/g2^4 + t^8.678/(g1^3*g2^33) + 2*g1^4*g2^4*t^8.684 + t^8.707/(g1*g2^29) + (g1*t^8.737)/g2^25 + (g1^3*t^8.766)/g2^21 + 3*g1^2*g2^18*t^8.84 + 2*g1^6*g2^26*t^8.898 - (3*g1*t^8.922)/g2^7 + g1^5*g2*t^8.98 + g2^32*t^8.996 - t^4.313/(g2^2*y) - (g1^2*g2^8*t^6.404)/y - t^6.642/(g1*g2^3*y) - t^6.938/(g2^6*y) - t^7.205/(g1*g2^13*y) - (g1*t^7.235)/(g2^9*y) + (g2^5*t^7.391)/(g1*y) + (2*g1*g2^9*t^7.42)/y + (g2^2*t^7.687)/y + (2*g1^2*g2^6*t^7.716)/y + (2*t^7.955)/(g1*g2^5*y) + (2*g1*t^7.984)/(g2*y) + (g1^3*g2^3*t^8.013)/y + (2*t^8.222)/(g1^2*g2^12*y) + (2*t^8.251)/(g2^8*y) - (g1^4*g2^18*t^8.495)/y + (2*t^8.518)/(g1*g2^15*y) + (2*g1*t^8.547)/(g2^11*y) + t^8.815/(g2^18*y) - (t^4.313*y)/g2^2 - g1^2*g2^8*t^6.404*y - (t^6.642*y)/(g1*g2^3) - (t^6.938*y)/g2^6 - (t^7.205*y)/(g1*g2^13) - (g1*t^7.235*y)/g2^9 + (g2^5*t^7.391*y)/g1 + 2*g1*g2^9*t^7.42*y + g2^2*t^7.687*y + 2*g1^2*g2^6*t^7.716*y + (2*t^7.955*y)/(g1*g2^5) + (2*g1*t^7.984*y)/g2 + g1^3*g2^3*t^8.013*y + (2*t^8.222*y)/(g1^2*g2^12) + (2*t^8.251*y)/g2^8 - g1^4*g2^18*t^8.495*y + (2*t^8.518*y)/(g1*g2^15) + (2*g1*t^8.547*y)/g2^11 + (t^8.815*y)/g2^18 |
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 |
---|---|---|---|---|---|---|---|---|
55121 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7198 | 0.9136 | 0.7879 | [M:[0.9767, 0.9642, 1.1243, 0.8757, 0.6989, 0.7748, 0.6738], q:[0.5917, 0.4316], qb:[0.4441, 0.7811], phi:[0.4379]] | t^2.022 + t^2.097 + t^2.324 + 2*t^2.627 + t^2.892 + t^2.93 + t^3.638 + t^3.941 + t^4.043 + 2*t^4.118 + t^4.194 + t^4.346 + t^4.384 + 2*t^4.421 + 3*t^4.649 + 2*t^4.724 + t^4.864 + t^4.914 + 3*t^4.952 + t^4.989 + t^5.027 + t^5.217 + 4*t^5.254 + t^5.52 + t^5.557 + t^5.66 + t^5.735 + t^5.785 + t^5.823 + t^5.86 + t^5.962 - 3*t^6. - t^4.314/y - t^4.314*y | detail | |
55070 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.7166 | 0.9045 | 0.7922 | [M:[0.9659, 0.9725, 1.1248, 0.8752, 0.6806, 0.7845, 0.7779], q:[0.5932, 0.4409], qb:[0.4343, 0.7812], phi:[0.4376]] | t^2.042 + t^2.334 + t^2.353 + 2*t^2.626 + t^2.898 + t^2.918 + t^3.919 + t^3.938 + t^4.083 + t^4.123 + t^4.375 + 2*t^4.395 + t^4.415 + 3*t^4.667 + t^4.687 + t^4.707 + t^4.872 + t^4.94 + 3*t^4.959 + 2*t^4.979 + t^5.231 + 5*t^5.251 + t^5.271 + t^5.523 + t^5.543 + t^5.796 + t^5.815 + t^5.835 + t^5.96 - 3*t^6. - t^4.313/y - t^4.313*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 |
---|---|---|---|---|---|---|---|---|---|
46352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail |