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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[1, -7], [-1, -11], [0, 4], [0, -4], [2, 10]], 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 |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -3 | 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^6.025 + t^6.136 + t^6.187 + t^6.262 + t^6.287 + t^6.448 - t^6.499 + 3*t^6.523 + 3*t^6.549 + t^6.574 + 2*t^6.71 + t^6.785 + t^6.811 + t^6.948 + t^6.972 + t^6.997 + t^7.023 + t^7.048 + 3*t^7.284 + t^7.522 + 2*t^7.546 + 2*t^7.571 + t^7.733 + t^7.758 + 2*t^7.808 + 2*t^7.833 + 5*t^7.859 + t^7.995 - 2*t^8.045 + t^8.12 + t^8.146 + t^8.181 + t^8.232 + 2*t^8.307 + t^8.332 - t^8.358 + t^8.382 + t^8.407 + t^8.433 + t^8.494 + 3*t^8.569 + t^8.57 + t^8.594 - 5*t^8.62 + t^8.644 - 2*t^8.645 + t^8.669 + t^8.695 + t^8.72 + 2*t^8.755 + t^8.806 + t^8.83 - 2*t^8.881 - 2*t^8.907 - t^8.932 + t^8.993 - t^4.31/y - t^6.355/y - t^6.929/y - t^7.191/y - t^7.216/y + t^7.403/y + t^7.429/y + (2*t^7.665)/y + t^7.69/y + t^7.927/y + t^7.952/y + t^8.239/y + t^8.264/y - t^8.4/y + (2*t^8.501)/y + (2*t^8.526)/y + t^8.687/y + t^8.713/y + t^8.788/y + t^8.949/y - t^4.31*y - t^6.355*y - t^6.929*y - t^7.191*y - t^7.216*y + t^7.403*y + t^7.429*y + 2*t^7.665*y + t^7.69*y + t^7.927*y + t^7.952*y + t^8.239*y + t^8.264*y - t^8.4*y + 2*t^8.501*y + 2*t^8.526*y + t^8.687*y + t^8.713*y + t^8.788*y + t^8.949*y | g1^2*g2^10*t^2.045 + (2*t^2.62)/g2^4 + (g1*t^2.881)/g2^7 + t^2.907/(g1*g2^11) + g1*g2*t^3.642 + t^3.668/(g1*g2^3) + (g1^2*t^3.904)/g2^2 + t^3.929/g2^6 + g1^4*g2^20*t^4.091 + g2^12*t^4.141 + g1*g2^9*t^4.403 + (g2^5*t^4.429)/g1 + 2*g1^2*g2^6*t^4.665 + g2^20*t^4.902 + g1^3*g2^3*t^4.927 + (g1*t^4.952)/g2 + (3*t^5.239)/g2^8 + (g1*t^5.501)/g2^11 + t^5.526/(g1*g2^15) + g1^3*g2^11*t^5.687 + g1*g2^7*t^5.713 + (g1^2*t^5.763)/g2^14 + t^5.788/g2^18 + t^5.813/(g1^2*g2^22) + g1^4*g2^8*t^5.949 - 3*t^6. - t^6.025/(g1^2*g2^4) + g1^6*g2^30*t^6.136 + g1^2*g2^22*t^6.187 + (g1*t^6.262)/g2^3 + t^6.287/(g1*g2^7) + g1^3*g2^19*t^6.448 - (g2^11*t^6.499)/g1 + (3*g1^2*t^6.523)/g2^6 + (3*t^6.549)/g2^10 + t^6.574/(g1^2*g2^14) + 2*g1^4*g2^16*t^6.71 + (g1^3*t^6.785)/g2^9 + (g1*t^6.811)/g2^13 + g1^2*g2^30*t^6.948 + g1^5*g2^13*t^6.972 + g1^3*g2^9*t^6.997 + g1*g2^5*t^7.023 + (g2*t^7.048)/g1 + 3*g1^2*g2^2*t^7.284 + g2^16*t^7.522 + (2*g1^3*t^7.546)/g2 + (2*g1*t^7.571)/g2^5 + g1^5*g2^21*t^7.733 + g1^3*g2^17*t^7.758 + (2*g1^4*t^7.808)/g2^4 + (2*g1^2*t^7.833)/g2^8 + (5*t^7.859)/g2^12 + g1^6*g2^18*t^7.995 - 2*g1^2*g2^10*t^8.045 + (g1*t^8.12)/g2^15 + t^8.146/(g1*g2^19) + g1^8*g2^40*t^8.181 + g1^4*g2^32*t^8.232 + 2*g1^3*g2^7*t^8.307 + g1*g2^3*t^8.332 - t^8.358/(g1*g2) + (g1^2*t^8.382)/g2^18 + t^8.407/g2^22 + t^8.433/(g1^2*g2^26) + g1^5*g2^29*t^8.494 + 3*g1^4*g2^4*t^8.569 + (g2^17*t^8.57)/g1 + g1^2*t^8.594 - (5*t^8.62)/g2^4 + (g1^3*t^8.644)/g2^21 - (2*t^8.645)/(g1^2*g2^8) + (g1*t^8.669)/g2^25 + t^8.695/(g1*g2^29) + t^8.72/(g1^3*g2^33) + 2*g1^6*g2^26*t^8.755 + g1^2*g2^18*t^8.806 + g1^5*g2*t^8.83 - (2*g1*t^8.881)/g2^7 - (2*t^8.907)/(g1*g2^11) - t^8.932/(g1^3*g2^15) + g1^4*g2^40*t^8.993 - t^4.31/(g2^2*y) - (g1^2*g2^8*t^6.355)/y - t^6.929/(g2^6*y) - (g1*t^7.191)/(g2^9*y) - t^7.216/(g1*g2^13*y) + (g1*g2^9*t^7.403)/y + (g2^5*t^7.429)/(g1*y) + (2*g1^2*g2^6*t^7.665)/y + (g2^2*t^7.69)/y + (g1^3*g2^3*t^7.927)/y + (g1*t^7.952)/(g2*y) + t^8.239/(g2^8*y) + t^8.264/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.4)/y + (2*g1*t^8.501)/(g2^11*y) + (2*t^8.526)/(g1*g2^15*y) + (g1^3*g2^11*t^8.687)/y + (g1*g2^7*t^8.713)/y + t^8.788/(g2^18*y) + (g1^4*g2^8*t^8.949)/y - (t^4.31*y)/g2^2 - g1^2*g2^8*t^6.355*y - (t^6.929*y)/g2^6 - (g1*t^7.191*y)/g2^9 - (t^7.216*y)/(g1*g2^13) + g1*g2^9*t^7.403*y + (g2^5*t^7.429*y)/g1 + 2*g1^2*g2^6*t^7.665*y + g2^2*t^7.69*y + g1^3*g2^3*t^7.927*y + (g1*t^7.952*y)/g2 + (t^8.239*y)/g2^8 + (t^8.264*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.4*y + (2*g1*t^8.501*y)/g2^11 + (2*t^8.526*y)/(g1*g2^15) + g1^3*g2^11*t^8.687*y + g1*g2^7*t^8.713*y + (t^8.788*y)/g2^18 + g1^4*g2^8*t^8.949*y |
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 |
---|---|---|---|---|---|---|---|---|
47020 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6687 | 0.8234 | 0.8121 | [M:[1.0874, 1.0193, 1.0874, 0.9126, 0.6991], q:[0.4903, 0.4223], qb:[0.4903, 0.7718], phi:[0.4563]] | t^2.097 + 2*t^2.738 + t^3.058 + t^3.262 + t^3.582 + 2*t^3.787 + 2*t^4.107 + t^4.195 + 3*t^4.311 + 2*t^4.835 + t^5.155 + t^5.36 + 3*t^5.476 + t^5.68 + 2*t^5.884 - 3*t^6. - t^4.369/y - t^4.369*y | detail | |
46942 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.6802 | 0.8389 | 0.8108 | [M:[1.0, 0.9814, 1.1152, 0.8848, 0.6914], q:[0.5669, 0.4331], qb:[0.4517, 0.7788], phi:[0.4424]] | t^2.074 + 2*t^2.654 + t^2.944 + t^3. + t^3.636 + t^3.691 + t^3.981 + 2*t^4.037 + t^4.148 + t^4.327 + t^4.383 + 3*t^4.729 + t^5.019 + t^5.074 + 3*t^5.309 + t^5.599 + t^5.654 + t^5.71 + t^5.766 + t^5.889 - 2*t^6. - t^4.327/y - t^4.327*y | detail | |
48278 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. - t^4.306/y - t^4.306*y | detail | |
48103 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7021 | 0.8818 | 0.7962 | [M:[0.9685, 0.9685, 1.1251, 0.8749, 0.6876, 0.6876], q:[0.594, 0.4375], qb:[0.4375, 0.7813], phi:[0.4375]] | 2*t^2.063 + 2*t^2.625 + 2*t^2.906 + 2*t^3.656 + t^3.937 + 4*t^4.126 + 2*t^4.407 + 4*t^4.688 + t^4.876 + 4*t^4.969 + 3*t^5.249 + 2*t^5.53 + 4*t^5.719 + 3*t^5.811 - 3*t^6. - t^4.312/y - t^4.312*y | detail | |
46880 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 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]] | 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^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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46342 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6607 | 0.8017 | 0.8242 | [M:[0.9624, 0.9624, 1.1278, 0.8722], q:[0.6015, 0.4361], qb:[0.4361, 0.782], phi:[0.4361]] | 2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. - t^4.308/y - t^4.308*y | detail |