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 |
|---|---|---|---|---|---|---|---|---|---|
| 3414 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6742 | 0.8508 | 0.7923 | [M:[0.8217, 1.0594, 1.1783, 0.7028, 0.708, 1.0543], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | [M:[[-12], [4], [12], [-20], [14], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | 0 | t^2.109 + t^2.124 + t^2.465 + t^2.822 + t^3.163 + t^3.178 + t^3.519 + t^3.535 + t^3.86 + t^3.891 + t^4.217 + 2*t^4.233 + 2*t^4.248 + t^4.574 + t^4.589 + t^4.605 + 2*t^4.93 + t^4.946 + t^5.271 + 3*t^5.287 + t^5.302 + t^5.628 + 3*t^5.643 + t^5.659 + t^5.969 + 2*t^5.985 + 3*t^6.326 + 3*t^6.341 + 3*t^6.357 + t^6.372 + 3*t^6.682 + 2*t^6.698 + 3*t^6.713 + t^6.729 + t^7.023 + 2*t^7.039 + 2*t^7.054 + 2*t^7.07 + 2*t^7.38 + 4*t^7.395 + 2*t^7.411 + 2*t^7.426 + t^7.721 + t^7.736 + 4*t^7.752 + 3*t^7.767 + t^7.783 + t^8.078 + 3*t^8.093 + 2*t^8.109 - 2*t^8.124 + t^8.14 + 3*t^8.434 + 5*t^8.45 + 4*t^8.465 + 2*t^8.496 + 4*t^8.791 + 4*t^8.806 + t^8.822 + 2*t^8.837 + 2*t^8.853 - t^4.411/y - t^6.519/y - t^6.535/y + t^7.233/y + t^7.248/y + t^7.589/y + t^7.93/y + t^7.946/y + t^8.271/y + (4*t^8.287)/y + (2*t^8.302)/y + t^8.628/y + (2*t^8.643)/y + t^8.969/y + (3*t^8.985)/y - t^4.411*y - t^6.519*y - t^6.535*y + t^7.233*y + t^7.248*y + t^7.589*y + t^7.93*y + t^7.946*y + t^8.271*y + 4*t^8.287*y + 2*t^8.302*y + t^8.628*y + 2*t^8.643*y + t^8.969*y + 3*t^8.985*y | t^2.109/g1^20 + g1^14*t^2.124 + t^2.465/g1^12 + t^2.822/g1^4 + t^3.163/g1^30 + g1^4*t^3.178 + t^3.519/g1^22 + g1^12*t^3.535 + t^3.86/g1^48 + g1^20*t^3.891 + t^4.217/g1^40 + (2*t^4.233)/g1^6 + 2*g1^28*t^4.248 + t^4.574/g1^32 + g1^2*t^4.589 + g1^36*t^4.605 + (2*t^4.93)/g1^24 + g1^10*t^4.946 + t^5.271/g1^50 + (3*t^5.287)/g1^16 + g1^18*t^5.302 + t^5.628/g1^42 + (3*t^5.643)/g1^8 + g1^26*t^5.659 + t^5.969/g1^68 + (2*t^5.985)/g1^34 + (3*t^6.326)/g1^60 + (3*t^6.341)/g1^26 + 3*g1^8*t^6.357 + g1^42*t^6.372 + (3*t^6.682)/g1^52 + (2*t^6.698)/g1^18 + 3*g1^16*t^6.713 + g1^50*t^6.729 + t^7.023/g1^78 + (2*t^7.039)/g1^44 + (2*t^7.054)/g1^10 + 2*g1^24*t^7.07 + (2*t^7.38)/g1^70 + (4*t^7.395)/g1^36 + (2*t^7.411)/g1^2 + 2*g1^32*t^7.426 + t^7.721/g1^96 + t^7.736/g1^62 + (4*t^7.752)/g1^28 + 3*g1^6*t^7.767 + g1^40*t^7.783 + t^8.078/g1^88 + (3*t^8.093)/g1^54 + (2*t^8.109)/g1^20 - 2*g1^14*t^8.124 + g1^48*t^8.14 + (3*t^8.434)/g1^80 + (5*t^8.45)/g1^46 + (4*t^8.465)/g1^12 + 2*g1^56*t^8.496 + (4*t^8.791)/g1^72 + (4*t^8.806)/g1^38 + t^8.822/g1^4 + 2*g1^30*t^8.837 + 2*g1^64*t^8.853 - t^4.411/(g1^2*y) - t^6.519/(g1^22*y) - (g1^12*t^6.535)/y + t^7.233/(g1^6*y) + (g1^28*t^7.248)/y + (g1^2*t^7.589)/y + t^7.93/(g1^24*y) + (g1^10*t^7.946)/y + t^8.271/(g1^50*y) + (4*t^8.287)/(g1^16*y) + (2*g1^18*t^8.302)/y + t^8.628/(g1^42*y) + (2*t^8.643)/(g1^8*y) + t^8.969/(g1^68*y) + (3*t^8.985)/(g1^34*y) - (t^4.411*y)/g1^2 - (t^6.519*y)/g1^22 - g1^12*t^6.535*y + (t^7.233*y)/g1^6 + g1^28*t^7.248*y + g1^2*t^7.589*y + (t^7.93*y)/g1^24 + g1^10*t^7.946*y + (t^8.271*y)/g1^50 + (4*t^8.287*y)/g1^16 + 2*g1^18*t^8.302*y + (t^8.628*y)/g1^42 + (2*t^8.643*y)/g1^8 + (t^8.969*y)/g1^68 + (3*t^8.985*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3903 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6797 | 0.8604 | 0.79 | [M:[0.8196, 1.0601, 1.1804, 0.6994, 0.7104, 1.0491, 0.9399], q:[0.4153, 0.765], qb:[0.4043, 0.5356], phi:[0.4699]] | t^2.098 + t^2.131 + t^2.459 + 2*t^2.82 + t^3.147 + t^3.508 + t^3.541 + t^3.836 + t^3.902 + t^4.196 + 2*t^4.229 + 2*t^4.263 + t^4.557 + t^4.59 + t^4.623 + 3*t^4.918 + 2*t^4.951 + t^5.245 + 3*t^5.279 + t^5.606 + 4*t^5.639 + t^5.672 + t^5.934 + 3*t^5.967 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 3905 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6946 | 0.8898 | 0.7806 | [M:[0.8261, 1.058, 1.1739, 0.7101, 0.7029, 1.0651, 0.6958], q:[0.4095, 0.7645], qb:[0.4166, 0.5254], phi:[0.471]] | t^2.087 + t^2.109 + t^2.13 + t^2.478 + t^2.826 + t^3.174 + t^3.195 + t^3.522 + t^3.543 + t^3.87 + t^4.175 + t^4.196 + 3*t^4.218 + 2*t^4.239 + t^4.261 + 2*t^4.566 + t^4.587 + t^4.608 + t^4.913 + t^4.935 + 2*t^4.956 + t^5.261 + 2*t^5.283 + 3*t^5.304 + t^5.326 + t^5.609 + 2*t^5.631 + 3*t^5.652 + t^5.674 + t^5.957 - t^4.413/y - t^4.413*y | detail | |
| 3904 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6894 | 0.8769 | 0.7862 | [M:[0.8299, 1.0567, 1.1701, 0.7164, 0.6985, 1.0747, 0.8119], q:[0.406, 0.7642], qb:[0.4239, 0.5194], phi:[0.4716]] | t^2.095 + t^2.149 + t^2.436 + t^2.49 + t^2.83 + t^3.17 + t^3.224 + t^3.51 + t^3.851 + t^3.958 + 2*t^4.191 + 2*t^4.245 + t^4.299 + 2*t^4.531 + 2*t^4.585 + t^4.639 + t^4.871 + 2*t^4.925 + 2*t^4.979 + 2*t^5.266 + 3*t^5.319 + t^5.373 + 2*t^5.606 + 3*t^5.66 + t^5.946 - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2851 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6809 | 0.8616 | 0.7903 | [M:[0.8369, 1.0544, 1.1631, 0.7282, 0.6903], q:[0.3995, 0.7636], qb:[0.4374, 0.5082], phi:[0.4728]] | t^2.071 + t^2.185 + t^2.511 + t^2.723 + t^2.837 + t^3.163 + t^3.489 + t^3.603 + t^3.815 + t^4.043 + 2*t^4.142 + 2*t^4.255 + t^4.369 + t^4.468 + t^4.582 + t^4.695 + t^4.794 + 2*t^4.908 + 2*t^5.022 + 2*t^5.234 + 2*t^5.348 + t^5.446 + 2*t^5.56 + 3*t^5.674 + t^5.886 - t^4.418/y - t^4.418*y | detail |