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 |
|---|---|---|---|---|---|---|---|---|---|
| 2829 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.6884 | 0.8584 | 0.802 | [M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]] | [M:[[36], [-12], [22], [-8], [-22]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.125 + t^2.194 + t^2.708 + t^2.778 + t^3.035 + t^3.292 + t^3.549 + t^3.806 + t^4.062 + t^4.132 + t^4.25 + 2*t^4.319 + 2*t^4.389 + t^4.459 + t^4.833 + 2*t^4.903 + t^4.972 + t^5.16 + t^5.229 + 2*t^5.417 + 2*t^5.486 + t^5.556 + t^5.743 + t^5.813 - t^6. + t^6.07 + t^6.187 + t^6.257 + 2*t^6.327 + t^6.374 + 2*t^6.444 + 3*t^6.514 + 4*t^6.583 + t^6.653 + 2*t^6.84 + t^6.91 + t^6.958 + 2*t^7.028 + 3*t^7.097 + 3*t^7.167 + t^7.237 + t^7.354 + t^7.424 + t^7.494 + 2*t^7.541 + 3*t^7.611 + 2*t^7.681 + t^7.75 + t^7.868 + 2*t^7.938 + t^8.007 + 2*t^8.264 + t^8.312 + t^8.334 + t^8.382 + t^8.451 + t^8.499 + 2*t^8.521 + 2*t^8.569 + 2*t^8.591 + 3*t^8.639 + 2*t^8.708 + 2*t^8.778 + 3*t^8.848 + t^8.895 + t^8.917 - t^4.354/y - t^6.479/y - t^6.549/y + t^7.319/y + t^7.833/y + (2*t^7.903)/y + t^7.972/y + (2*t^8.16)/y + (2*t^8.229)/y + t^8.417/y + (2*t^8.486)/y - t^8.604/y + t^8.743/y + t^8.813/y + t^8.93/y - t^4.354*y - t^6.479*y - t^6.549*y + t^7.319*y + t^7.833*y + 2*t^7.903*y + t^7.972*y + 2*t^8.16*y + 2*t^8.229*y + t^8.417*y + 2*t^8.486*y - t^8.604*y + t^8.743*y + t^8.813*y + t^8.93*y | g1^36*t^2.125 + t^2.194/g1^8 + g1^12*t^2.708 + t^2.778/g1^32 + t^3.035/g1^22 + t^3.292/g1^12 + t^3.549/g1^2 + g1^8*t^3.806 + g1^18*t^4.062 + t^4.132/g1^26 + g1^72*t^4.25 + 2*g1^28*t^4.319 + (2*t^4.389)/g1^16 + t^4.459/g1^60 + g1^48*t^4.833 + 2*g1^4*t^4.903 + t^4.972/g1^40 + g1^14*t^5.16 + t^5.229/g1^30 + 2*g1^24*t^5.417 + (2*t^5.486)/g1^20 + t^5.556/g1^64 + t^5.743/g1^10 + t^5.813/g1^54 - t^6. + t^6.07/g1^44 + g1^54*t^6.187 + g1^10*t^6.257 + (2*t^6.327)/g1^34 + g1^108*t^6.374 + 2*g1^64*t^6.444 + 3*g1^20*t^6.514 + (4*t^6.583)/g1^24 + t^6.653/g1^68 + (2*t^6.84)/g1^14 + t^6.91/g1^58 + g1^84*t^6.958 + 2*g1^40*t^7.028 + (3*t^7.097)/g1^4 + (3*t^7.167)/g1^48 + t^7.237/g1^92 + g1^6*t^7.354 + t^7.424/g1^38 + t^7.494/g1^82 + 2*g1^60*t^7.541 + 3*g1^16*t^7.611 + (2*t^7.681)/g1^28 + t^7.75/g1^72 + g1^26*t^7.868 + (2*t^7.938)/g1^18 + t^8.007/g1^62 + (2*t^8.264)/g1^52 + g1^90*t^8.312 + t^8.334/g1^96 + g1^46*t^8.382 + g1^2*t^8.451 + g1^144*t^8.499 + (2*t^8.521)/g1^42 + 2*g1^100*t^8.569 + (2*t^8.591)/g1^86 + 3*g1^56*t^8.639 + 2*g1^12*t^8.708 + (2*t^8.778)/g1^32 + (3*t^8.848)/g1^76 + g1^66*t^8.895 + t^8.917/g1^120 - (g1^6*t^4.354)/y - (g1^42*t^6.479)/y - t^6.549/(g1^2*y) + (g1^28*t^7.319)/y + (g1^48*t^7.833)/y + (2*g1^4*t^7.903)/y + t^7.972/(g1^40*y) + (2*g1^14*t^8.16)/y + (2*t^8.229)/(g1^30*y) + (g1^24*t^8.417)/y + (2*t^8.486)/(g1^20*y) - (g1^78*t^8.604)/y + t^8.743/(g1^10*y) + t^8.813/(g1^54*y) + (g1^44*t^8.93)/y - g1^6*t^4.354*y - g1^42*t^6.479*y - (t^6.549*y)/g1^2 + g1^28*t^7.319*y + g1^48*t^7.833*y + 2*g1^4*t^7.903*y + (t^7.972*y)/g1^40 + 2*g1^14*t^8.16*y + (2*t^8.229*y)/g1^30 + g1^24*t^8.417*y + (2*t^8.486*y)/g1^20 - g1^78*t^8.604*y + (t^8.743*y)/g1^10 + (t^8.813*y)/g1^54 + g1^44*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6974 | 0.8735 | 0.7985 | [M:[0.6948, 1.1017, 0.9801, 0.7345, 1.0199, 0.8983], q:[0.7754, 0.5298], qb:[0.4901, 0.4082], phi:[0.4491]] | t^2.084 + t^2.203 + 2*t^2.695 + t^2.814 + t^3.06 + t^3.551 + t^3.797 + t^4.042 + t^4.161 + t^4.169 + 2*t^4.288 + 2*t^4.407 + t^4.526 + 2*t^4.779 + 3*t^4.898 + t^5.017 + t^5.144 + t^5.263 + 3*t^5.39 + 2*t^5.509 + t^5.628 + 2*t^5.754 + t^5.873 - 2*t^6. - t^4.347/y - t^4.347*y | detail | |
| 3371 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6687 | 0.8219 | 0.8136 | [M:[0.7047, 1.0984, 0.9862, 0.7323, 1.0138, 1.2677], q:[0.7746, 0.5206], qb:[0.4931, 0.4085], phi:[0.4508]] | t^2.114 + t^2.705 + t^2.787 + t^3.041 + t^3.295 + t^3.549 + 2*t^3.803 + t^4.057 + t^4.14 + t^4.228 + t^4.311 + t^4.394 + t^4.476 + t^4.819 + t^4.902 + t^5.156 + 2*t^5.409 + t^5.492 + t^5.575 + t^5.829 + t^5.917 - 2*t^6. - t^4.352/y - t^4.352*y | detail | |
| 3372 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6831 | 0.8497 | 0.8039 | [M:[0.669, 1.1103, 0.9644, 0.7402, 1.0356, 1.0391], q:[0.7776, 0.5535], qb:[0.4822, 0.4075], phi:[0.4448]] | t^2.007 + t^2.221 + t^2.669 + t^3.107 + t^3.117 + t^3.331 + t^3.555 + t^3.779 + t^4.003 + t^4.014 + t^4.217 + 2*t^4.228 + 2*t^4.441 + t^4.655 + t^4.676 + t^4.89 + t^5.114 + t^5.124 + t^5.328 + 3*t^5.338 + t^5.552 + t^5.776 + t^5.786 - t^6. - t^4.334/y - t^4.334*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1813 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8614 | 0.8014 | [M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.043 + t^2.213 + t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + t^3.787 + t^4.022 + t^4.087 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.594 + t^4.725 + 2*t^4.894 + t^4.959 + t^5.063 + t^5.128 + 2*t^5.362 + 2*t^5.531 + t^5.597 + t^5.701 + t^5.766 + t^5.831 - t^6. - t^4.341/y - t^4.341*y | detail |