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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | [M:[[1, -4, -1], [0, 1, -5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. + 4*t^6.264 + 3*t^6.29 + 2*t^6.317 + t^6.343 + t^6.661 + 2*t^6.688 + t^6.714 + t^6.767 + 2*t^7.004 + 2*t^7.031 - 2*t^7.084 - t^7.11 + t^7.665 + 2*t^7.692 + 3*t^7.718 + 2*t^7.745 + t^7.771 + t^7.877 + 3*t^8.008 + 6*t^8.035 + 3*t^8.061 - 4*t^8.088 - 2*t^8.114 - 2*t^8.141 + 5*t^8.352 + 4*t^8.378 + 3*t^8.405 + 2*t^8.431 + t^8.458 + t^8.485 + 2*t^8.749 + 4*t^8.775 + 2*t^8.802 - 3*t^8.828 - 2*t^8.855 - t^4.057/y - (2*t^6.145)/y - t^6.172/y + t^7.176/y + (2*t^7.202)/y + (2*t^7.916)/y + (2*t^7.943)/y + (2*t^7.969)/y - (3*t^8.233)/y - (2*t^8.259)/y - t^8.286/y + (2*t^8.921)/y + (5*t^8.947)/y + (4*t^8.974)/y - t^4.057*y - 2*t^6.145*y - t^6.172*y + t^7.176*y + 2*t^7.202*y + 2*t^7.916*y + 2*t^7.943*y + 2*t^7.969*y - 3*t^8.233*y - 2*t^8.259*y - t^8.286*y + 2*t^8.921*y + 5*t^8.947*y + 4*t^8.974*y | (g2*t^2.088)/g3^5 + (g1*t^2.088)/(g2^4*g3) + t^2.114/(g2^2*g3^2) + g2^3*g3^3*t^2.828 + g1*g2^3*t^3.833 + (g2^5*t^3.859)/g3 + g1*g3^3*t^3.859 + g2^2*g3^2*t^3.886 + (g2*g3^4*t^3.939)/g1 + (g2^2*t^4.176)/g3^10 + (g1*t^4.176)/(g2^3*g3^6) + (g1^2*t^4.176)/(g2^8*g3^2) + t^4.202/(g2*g3^7) + (g1*t^4.202)/(g2^6*g3^3) + t^4.229/(g2^4*g3^4) + (g2^4*t^4.916)/g3^2 + (g1*g3^2*t^4.916)/g2 + 2*g2*g3*t^4.943 + g2^6*g3^6*t^5.657 + (g1*g2^4*t^5.921)/g3^5 + (g1^2*t^5.921)/(g2*g3) + (g2^6*t^5.947)/g3^6 + (2*g1*g2*t^5.947)/g3^2 + (g1^2*g3^2*t^5.947)/g2^4 + (g2^3*t^5.974)/g3^3 + (g1*g3*t^5.974)/g2^2 - 2*t^6. + (g2^3*t^6.264)/g3^15 + (g1*t^6.264)/(g2^2*g3^11) + (g1^2*t^6.264)/(g2^7*g3^7) + (g1^3*t^6.264)/(g2^12*g3^3) + t^6.29/g3^12 + (g1*t^6.29)/(g2^5*g3^8) + (g1^2*t^6.29)/(g2^10*g3^4) + t^6.317/(g2^3*g3^9) + (g1*t^6.317)/(g2^8*g3^5) + t^6.343/(g2^6*g3^6) + g1*g2^6*g3^3*t^6.661 + g2^8*g3^2*t^6.688 + g1*g2^3*g3^6*t^6.688 + g2^5*g3^5*t^6.714 + (g2^4*g3^7*t^6.767)/g1 + (g2^5*t^7.004)/g3^7 + (g1^2*g3*t^7.004)/g2^5 + (g1*t^7.031)/g2^3 + (g2^2*t^7.031)/g3^4 - (g2*t^7.084)/(g1*g3^2) - (g3^2*t^7.084)/g2^4 - (g3*t^7.11)/(g1*g2^2) + g1^2*g2^6*t^7.665 + (g1*g2^8*t^7.692)/g3 + g1^2*g2^3*g3^3*t^7.692 + (g2^10*t^7.718)/g3^2 + g1*g2^5*g3^2*t^7.718 + g1^2*g3^6*t^7.718 + g2^7*g3*t^7.745 + g1*g2^2*g3^5*t^7.745 + g2^4*g3^4*t^7.771 + (g2^2*g3^8*t^7.877)/g1^2 + (g1*g2^5*t^8.008)/g3^10 + (g1^2*t^8.008)/g3^6 + (g1^3*t^8.008)/(g2^5*g3^2) + (g2^7*t^8.035)/g3^11 + (2*g1*g2^2*t^8.035)/g3^7 + (2*g1^2*t^8.035)/(g2^3*g3^3) + (g1^3*g3*t^8.035)/g2^8 + (g1^2*t^8.061)/g2^6 + (g2^4*t^8.061)/g3^8 + (g1*t^8.061)/(g2*g3^4) - (2*g2*t^8.088)/g3^5 - (2*g1*t^8.088)/(g2^4*g3) - (2*t^8.114)/(g2^2*g3^2) - t^8.141/(g1*g3^3) - (g3*t^8.141)/g2^5 + (g2^4*t^8.352)/g3^20 + (g1*t^8.352)/(g2*g3^16) + (g1^2*t^8.352)/(g2^6*g3^12) + (g1^3*t^8.352)/(g2^11*g3^8) + (g1^4*t^8.352)/(g2^16*g3^4) + (g2*t^8.378)/g3^17 + (g1*t^8.378)/(g2^4*g3^13) + (g1^2*t^8.378)/(g2^9*g3^9) + (g1^3*t^8.378)/(g2^14*g3^5) + t^8.405/(g2^2*g3^14) + (g1*t^8.405)/(g2^7*g3^10) + (g1^2*t^8.405)/(g2^12*g3^6) + t^8.431/(g2^5*g3^11) + (g1*t^8.431)/(g2^10*g3^7) + t^8.458/(g2^8*g3^8) + g2^9*g3^9*t^8.485 + (g1*g2^7*t^8.749)/g3^2 + g1^2*g2^2*g3^2*t^8.749 + (g2^9*t^8.775)/g3^3 + 2*g1*g2^4*g3*t^8.775 + (g1^2*g3^5*t^8.775)/g2 + g2^6*t^8.802 + g1*g2*g3^4*t^8.802 - 3*g2^3*g3^3*t^8.828 - (g2^5*g3^2*t^8.855)/g1 - g3^6*t^8.855 - t^4.057/(g2*g3*y) - t^6.145/(g3^6*y) - (g1*t^6.145)/(g2^5*g3^2*y) - t^6.172/(g2^3*g3^3*y) + (g1*t^7.176)/(g2^3*g3^6*y) + t^7.202/(g2*g3^7*y) + (g1*t^7.202)/(g2^6*g3^3*y) + (g2^4*t^7.916)/(g3^2*y) + (g1*g3^2*t^7.916)/(g2*y) + (2*g2*g3*t^7.943)/y + (g2^3*t^7.969)/(g1*y) + (g3^4*t^7.969)/(g2^2*y) - (g2*t^8.233)/(g3^11*y) - (g1*t^8.233)/(g2^4*g3^7*y) - (g1^2*t^8.233)/(g2^9*g3^3*y) - t^8.259/(g2^2*g3^8*y) - (g1*t^8.259)/(g2^7*g3^4*y) - t^8.286/(g2^5*g3^5*y) + (g1*g2^4*t^8.921)/(g3^5*y) + (g1^2*t^8.921)/(g2*g3*y) + (g2^6*t^8.947)/(g3^6*y) + (3*g1*g2*t^8.947)/(g3^2*y) + (g1^2*g3^2*t^8.947)/(g2^4*y) + (2*g2^3*t^8.974)/(g3^3*y) + (2*g1*g3*t^8.974)/(g2^2*y) - (t^4.057*y)/(g2*g3) - (t^6.145*y)/g3^6 - (g1*t^6.145*y)/(g2^5*g3^2) - (t^6.172*y)/(g2^3*g3^3) + (g1*t^7.176*y)/(g2^3*g3^6) + (t^7.202*y)/(g2*g3^7) + (g1*t^7.202*y)/(g2^6*g3^3) + (g2^4*t^7.916*y)/g3^2 + (g1*g3^2*t^7.916*y)/g2 + 2*g2*g3*t^7.943*y + (g2^3*t^7.969*y)/g1 + (g3^4*t^7.969*y)/g2^2 - (g2*t^8.233*y)/g3^11 - (g1*t^8.233*y)/(g2^4*g3^7) - (g1^2*t^8.233*y)/(g2^9*g3^3) - (t^8.259*y)/(g2^2*g3^8) - (g1*t^8.259*y)/(g2^7*g3^4) - (t^8.286*y)/(g2^5*g3^5) + (g1*g2^4*t^8.921*y)/g3^5 + (g1^2*t^8.921*y)/(g2*g3) + (g2^6*t^8.947*y)/g3^6 + (3*g1*g2*t^8.947*y)/g3^2 + (g1^2*g3^2*t^8.947*y)/g2^4 + (2*g2^3*t^8.974*y)/g3^3 + (2*g1*g3*t^8.974*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 118 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y | detail | |
| 121 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5427 | 0.6891 | 0.7875 | [M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | t^2.042 + t^2.207 + t^2.639 + t^2.93 + t^3.07 + 2*t^3.361 + t^3.652 + 2*t^4.084 + t^4.249 + t^4.414 + 2*t^4.681 + t^4.846 + t^4.971 + t^5.112 + t^5.137 + t^5.278 + 2*t^5.403 + 2*t^5.568 + t^5.694 + 2*t^5.859 - t^6. - t^4.319/y - t^4.319*y | detail | |
| 122 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.669 | 0.8356 | 0.8006 | [M:[0.6922, 0.6922, 0.7], q:[0.8367, 0.8133], qb:[0.4711, 0.4789], phi:[0.35]] | 2*t^2.077 + 2*t^2.1 + t^2.85 + t^3.853 + 2*t^3.877 + t^3.947 + 3*t^4.153 + 4*t^4.177 + 3*t^4.2 + 2*t^4.927 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.953 + 2*t^5.977 - 3*t^6. - t^4.05/y - t^4.05*y | detail | |
| 120 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y | detail | |
| 119 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6689 | 0.8346 | 0.8015 | [M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.095 + t^2.858 + 4*t^3.905 + 10*t^4.189 + 5*t^4.953 + t^5.716 + 7*t^6. - t^4.047/y - t^4.047*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 |
|---|---|---|---|---|---|---|---|---|---|
| 49 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail |