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 |
|---|---|---|---|---|---|---|---|---|---|
| 4879 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.6158 | 0.7942 | 0.7754 | [M:[1.0093, 0.6997, 0.9907, 0.7183, 1.2817, 0.9907, 0.8731, 0.7183], q:[0.6409, 0.3498], qb:[0.3684, 0.9319], phi:[0.4272]] | [M:[[14], [-22], [-14], [6], [-6], [-14], [24], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.099 + 2*t^2.155 + t^2.563 + t^2.619 + 2*t^2.972 + t^3.437 + t^3.492 + t^4.198 + 2*t^4.254 + 3*t^4.31 + t^4.663 + 4*t^4.718 + 2*t^4.774 + 2*t^5.071 + 5*t^5.127 + t^5.183 + t^5.238 + 2*t^5.536 + 4*t^5.591 + 2*t^5.647 + 2*t^5.944 - 2*t^6. + t^6.056 + t^6.111 + t^6.297 + 2*t^6.353 + 3*t^6.409 + 4*t^6.464 + t^6.762 + 2*t^6.817 + 4*t^6.873 + 3*t^6.929 + t^6.985 + 2*t^7.17 + 4*t^7.226 + 7*t^7.282 + 2*t^7.337 + 2*t^7.393 + 2*t^7.635 + 7*t^7.69 + 6*t^7.746 + 4*t^7.802 + t^7.858 + 2*t^8.043 + 2*t^8.099 - 4*t^8.155 + 4*t^8.211 + 2*t^8.266 + t^8.396 + 2*t^8.452 + 3*t^8.508 + 2*t^8.563 + 2*t^8.619 + t^8.675 + t^8.731 + t^8.861 + 4*t^8.916 - 5*t^8.972 - t^4.282/y - t^6.381/y - t^6.437/y - t^6.845/y - t^6.901/y + t^7.254/y + (2*t^7.31)/y + (2*t^7.663)/y + (4*t^7.718)/y + (2*t^7.774)/y + (2*t^8.071)/y + (5*t^8.127)/y + (2*t^8.183)/y - t^8.48/y + (2*t^8.536)/y + (4*t^8.591)/y + (2*t^8.647)/y - t^4.282*y - t^6.381*y - t^6.437*y - t^6.845*y - t^6.901*y + t^7.254*y + 2*t^7.31*y + 2*t^7.663*y + 4*t^7.718*y + 2*t^7.774*y + 2*t^8.071*y + 5*t^8.127*y + 2*t^8.183*y - t^8.48*y + 2*t^8.536*y + 4*t^8.591*y + 2*t^8.647*y | t^2.099/g1^22 + 2*g1^6*t^2.155 + t^2.563/g1^4 + g1^24*t^2.619 + (2*t^2.972)/g1^14 + g1^4*t^3.437 + g1^32*t^3.492 + t^4.198/g1^44 + (2*t^4.254)/g1^16 + 3*g1^12*t^4.31 + t^4.663/g1^26 + 4*g1^2*t^4.718 + 2*g1^30*t^4.774 + (2*t^5.071)/g1^36 + (5*t^5.127)/g1^8 + g1^20*t^5.183 + g1^48*t^5.238 + (2*t^5.536)/g1^18 + 4*g1^10*t^5.591 + 2*g1^38*t^5.647 + (2*t^5.944)/g1^28 - 2*t^6. + g1^28*t^6.056 + g1^56*t^6.111 + t^6.297/g1^66 + (2*t^6.353)/g1^38 + (3*t^6.409)/g1^10 + 4*g1^18*t^6.464 + t^6.762/g1^48 + (2*t^6.817)/g1^20 + 4*g1^8*t^6.873 + 3*g1^36*t^6.929 + g1^64*t^6.985 + (2*t^7.17)/g1^58 + (4*t^7.226)/g1^30 + (7*t^7.282)/g1^2 + 2*g1^26*t^7.337 + 2*g1^54*t^7.393 + (2*t^7.635)/g1^40 + (7*t^7.69)/g1^12 + 6*g1^16*t^7.746 + 4*g1^44*t^7.802 + g1^72*t^7.858 + (2*t^8.043)/g1^50 + (2*t^8.099)/g1^22 - 4*g1^6*t^8.155 + 4*g1^34*t^8.211 + 2*g1^62*t^8.266 + t^8.396/g1^88 + (2*t^8.452)/g1^60 + (3*t^8.508)/g1^32 + (2*t^8.563)/g1^4 + 2*g1^24*t^8.619 + g1^52*t^8.675 + g1^80*t^8.731 + t^8.861/g1^70 + (4*t^8.916)/g1^42 - (5*t^8.972)/g1^14 - t^4.282/(g1^2*y) - t^6.381/(g1^24*y) - (g1^4*t^6.437)/y - t^6.845/(g1^6*y) - (g1^22*t^6.901)/y + t^7.254/(g1^16*y) + (2*g1^12*t^7.31)/y + (2*t^7.663)/(g1^26*y) + (4*g1^2*t^7.718)/y + (2*g1^30*t^7.774)/y + (2*t^8.071)/(g1^36*y) + (5*t^8.127)/(g1^8*y) + (2*g1^20*t^8.183)/y - t^8.48/(g1^46*y) + (2*t^8.536)/(g1^18*y) + (4*g1^10*t^8.591)/y + (2*g1^38*t^8.647)/y - (t^4.282*y)/g1^2 - (t^6.381*y)/g1^24 - g1^4*t^6.437*y - (t^6.845*y)/g1^6 - g1^22*t^6.901*y + (t^7.254*y)/g1^16 + 2*g1^12*t^7.31*y + (2*t^7.663*y)/g1^26 + 4*g1^2*t^7.718*y + 2*g1^30*t^7.774*y + (2*t^8.071*y)/g1^36 + (5*t^8.127*y)/g1^8 + 2*g1^20*t^8.183*y - (t^8.48*y)/g1^46 + (2*t^8.536*y)/g1^18 + 4*g1^10*t^8.591*y + 2*g1^38*t^8.647*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 |
|---|---|---|---|---|---|---|---|---|
| 6489 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6286 | 0.8161 | 0.7703 | [M:[1.0126, 0.6946, 0.9874, 0.7197, 1.2803, 0.9874, 0.8787, 0.7197, 0.8536], q:[0.6402, 0.3473], qb:[0.3724, 0.9331], phi:[0.4268]] | t^2.084 + 2*t^2.159 + 2*t^2.561 + t^2.636 + 2*t^2.962 + t^3.515 + t^4.167 + 2*t^4.243 + 3*t^4.318 + 2*t^4.644 + 6*t^4.72 + 2*t^4.795 + 2*t^5.046 + 7*t^5.121 + 2*t^5.197 + t^5.272 + 3*t^5.523 + 2*t^5.598 + 2*t^5.674 + 2*t^5.925 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 6490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6316 | 0.8227 | 0.7677 | [M:[1.029, 0.6687, 0.971, 0.7267, 1.2733, 0.971, 0.9069, 0.7267, 0.7908], q:[0.6366, 0.3343], qb:[0.3924, 0.9389], phi:[0.4244]] | t^2.006 + 2*t^2.18 + t^2.372 + t^2.547 + t^2.721 + 2*t^2.913 + t^3.453 + t^4.012 + 2*t^4.186 + 3*t^4.36 + t^4.378 + 3*t^4.553 + 4*t^4.727 + t^4.745 + 2*t^4.901 + 3*t^4.919 + 6*t^5.093 + t^5.267 + 2*t^5.285 + t^5.442 + 2*t^5.459 + 3*t^5.634 + 3*t^5.826 - 2*t^6. - t^4.273/y - t^4.273*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2702 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5957 | 0.7565 | 0.7874 | [M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | t^2.091 + t^2.157 + t^2.562 + t^2.628 + 2*t^2.967 + t^3.438 + t^3.504 + t^3.843 + t^4.182 + t^4.248 + t^4.314 + t^4.653 + 3*t^4.719 + t^4.785 + 2*t^5.058 + 3*t^5.124 + t^5.19 + t^5.256 + 2*t^5.529 + 3*t^5.595 + t^5.661 + 3*t^5.934 - t^6. - t^4.281/y - t^4.281*y | detail |