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 |
|---|---|---|---|---|---|---|---|---|---|
| 131 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5887 | 0.7456 | 0.7895 | [M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | [M:[[4, 4], [-12, -12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. + t^6.13 + 2*t^6.259 + 3*t^6.389 + 4*t^6.572 + 4*t^6.701 + 2*t^6.831 + 2*t^6.961 + 3*t^7.273 + 5*t^7.403 + 4*t^7.532 + 2*t^7.662 + 4*t^7.974 + 6*t^8.104 - 4*t^8.234 + 2*t^8.493 + 2*t^8.623 + 5*t^8.676 + 5*t^8.805 - t^4.532/y + t^7.338/y + t^7.468/y - t^7.727/y + (2*t^8.169)/y + (2*t^8.299)/y + (4*t^8.428)/y + (4*t^8.87)/y - t^4.532*y + t^7.338*y + t^7.468*y - t^7.727*y + 2*t^8.169*y + 2*t^8.299*y + 4*t^8.428*y + 4*t^8.87*y | (g1^7*t^2.234)/g2^5 + (g2^7*t^2.234)/g1^5 + g1^4*g2^4*t^2.935 + t^3.065/(g1^4*g2^4) + (2*t^3.195)/(g1^12*g2^12) + g1^13*g2*t^3.637 + g1*g2^13*t^3.637 + (g1^5*t^3.766)/g2^7 + (g2^5*t^3.766)/g1^7 + (g1^22*t^4.338)/g2^2 + g1^10*g2^10*t^4.338 + (g2^22*t^4.338)/g1^2 + (g1^14*t^4.468)/g2^10 + g1^2*g2^2*t^4.468 + (g2^14*t^4.468)/g1^10 + (g1^11*t^5.169)/g2 + (g2^11*t^5.169)/g1 + (g1^3*t^5.299)/g2^9 + (g2^3*t^5.299)/g1^9 + t^5.428/(g1^5*g2^17) + t^5.428/(g1^17*g2^5) + (g1^20*t^5.87)/g2^4 + 2*g1^8*g2^8*t^5.87 + (g2^20*t^5.87)/g1^4 - t^6. + t^6.13/(g1^8*g2^8) + (2*t^6.259)/(g1^16*g2^16) + (3*t^6.389)/(g1^24*g2^24) + (g1^29*t^6.572)/g2^7 + g1^17*g2^5*t^6.572 + g1^5*g2^17*t^6.572 + (g2^29*t^6.572)/g1^7 + (g1^21*t^6.701)/g2^15 + (g1^9*t^6.701)/g2^3 + (g2^9*t^6.701)/g1^3 + (g2^21*t^6.701)/g1^15 + (g1*t^6.831)/g2^11 + (g2*t^6.831)/g1^11 + t^6.961/(g1^7*g2^19) + t^6.961/(g1^19*g2^7) + g1^26*g2^2*t^7.273 + g1^14*g2^14*t^7.273 + g1^2*g2^26*t^7.273 + (2*g1^18*t^7.403)/g2^6 + g1^6*g2^6*t^7.403 + (2*g2^18*t^7.403)/g1^6 + (2*g1^10*t^7.532)/g2^14 + (2*g2^10*t^7.532)/g1^14 + (g1^2*t^7.662)/g2^22 + (g2^2*t^7.662)/g1^22 + (g1^35*t^7.974)/g2 + g1^23*g2^11*t^7.974 + g1^11*g2^23*t^7.974 + (g2^35*t^7.974)/g1 + (2*g1^27*t^8.104)/g2^9 + g1^15*g2^3*t^8.104 + g1^3*g2^15*t^8.104 + (2*g2^27*t^8.104)/g1^9 - (2*g1^7*t^8.234)/g2^5 - (2*g2^7*t^8.234)/g1^5 + t^8.493/(g1^9*g2^21) + t^8.493/(g1^21*g2^9) + t^8.623/(g1^17*g2^29) + t^8.623/(g1^29*g2^17) + (g1^44*t^8.676)/g2^4 + g1^32*g2^8*t^8.676 + g1^20*g2^20*t^8.676 + g1^8*g2^32*t^8.676 + (g2^44*t^8.676)/g1^4 + g1^24*t^8.805 + (g1^36*t^8.805)/g2^12 + g1^12*g2^12*t^8.805 + g2^24*t^8.805 + (g2^36*t^8.805)/g1^12 + (g1^28*t^8.935)/g2^20 - 2*g1^4*g2^4*t^8.935 + (g2^28*t^8.935)/g1^20 - t^4.532/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.338)/y + (g1^2*g2^2*t^7.468)/y - t^7.727/(g1^14*g2^14*y) + (g1^11*t^8.169)/(g2*y) + (g2^11*t^8.169)/(g1*y) + (g1^3*t^8.299)/(g2^9*y) + (g2^3*t^8.299)/(g1^9*y) + (2*t^8.428)/(g1^5*g2^17*y) + (2*t^8.428)/(g1^17*g2^5*y) + (g1^20*t^8.87)/(g2^4*y) + (2*g1^8*g2^8*t^8.87)/y + (g2^20*t^8.87)/(g1^4*y) - (t^4.532*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.338*y + g1^2*g2^2*t^7.468*y - (t^7.727*y)/(g1^14*g2^14) + (g1^11*t^8.169*y)/g2 + (g2^11*t^8.169*y)/g1 + (g1^3*t^8.299*y)/g2^9 + (g2^3*t^8.299*y)/g1^9 + (2*t^8.428*y)/(g1^5*g2^17) + (2*t^8.428*y)/(g1^17*g2^5) + (g1^20*t^8.87*y)/g2^4 + 2*g1^8*g2^8*t^8.87*y + (g2^20*t^8.87*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 215 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.587 | 0.7429 | 0.7902 | [M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | 2*t^2.24 + 2*t^3.041 + 2*t^3.123 + 2*t^3.678 + 2*t^3.76 + 3*t^4.398 + 3*t^4.48 + 4*t^5.281 + 2*t^5.363 + 3*t^5.918 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
| 218 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.5976 | 0.7632 | 0.783 | [M:[0.9572, 1.1283, 0.8717], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | 2*t^2.218 + t^2.615 + t^2.872 + t^3.128 + t^3.385 + 2*t^3.525 + 2*t^3.782 + 3*t^4.179 + 3*t^4.436 + 2*t^4.833 + 2*t^5.09 + t^5.23 + 2*t^5.346 + t^5.487 + 5*t^5.743 - t^4.564/y - t^4.564*y | detail | |
| 223 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6081 | 0.7817 | 0.778 | [M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^4.533/y - t^4.533*y | detail | |
| 216 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5911 | 0.7501 | 0.788 | [M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y | detail | |
| 1716 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6066 | 0.7782 | 0.7795 | [M:[0.9854, 1.0439, 0.7625], q:[0.7463, 0.2683], qb:[0.4911, 0.4649], phi:[0.5073]] | t^2.2 + t^2.278 + t^2.288 + t^2.956 + t^3.044 + 2*t^3.132 + t^3.634 + t^3.722 + t^3.8 + t^4.312 + t^4.39 + t^4.399 + t^4.469 + t^4.478 + t^4.487 + t^4.557 + t^4.566 + t^4.575 + t^5.156 + t^5.234 + 2*t^5.244 + t^5.322 + 2*t^5.332 + t^5.41 + 2*t^5.419 + t^5.834 + t^5.912 + t^5.921 - t^6. - t^4.522/y - t^4.522*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 |
|---|---|---|---|---|---|---|---|---|---|
| 81 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7025 | 0.8516 | 0.8249 | [M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.025 + t^2.315 + t^2.605 + 2*t^3.251 + t^4.051 + 2*t^4.119 + t^4.264 + t^4.34 + 2*t^4.409 + 3*t^4.553 + 2*t^4.63 + t^4.92 + t^5.209 + 2*t^5.276 + 2*t^5.566 - 5*t^6. - t^4.157/y - t^4.157*y | detail |