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 |
|---|---|---|---|---|---|---|---|---|---|
| 47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | [X:[[0, 0, 2]], q:[[1, 1, -5], [-2, -2, 11]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. + 3*t^6.025 + 2*t^6.076 - t^6.152 + 4*t^6.177 + 2*t^6.254 + 3*t^6.33 + 2*t^6.894 - 3*t^6.97 + 4*t^6.996 + 2*t^7.047 + 2*t^7.072 - t^7.123 + 7*t^7.148 + 6*t^7.224 + 3*t^7.3 + t^7.636 - 3*t^7.941 + 7*t^7.966 + 2*t^8.017 + 8*t^8.118 + 2*t^8.194 + 3*t^8.271 + 4*t^8.296 + 4*t^8.448 - 2*t^8.683 + t^8.734 - 4*t^8.911 + 7*t^8.936 + 2*t^8.987 + t^8.911/y^2 - t^3.97/y - t^4.941/y - t^6.882/y - (2*t^6.983)/y - (2*t^7.135)/y - t^7.852/y - (2*t^7.953)/y - (2*t^8.106)/y - t^3.97*y - t^4.941*y - t^6.882*y - 2*t^6.983*y - 2*t^7.135*y - t^7.852*y - 2*t^7.953*y - 2*t^8.106*y + t^8.911*y^2 | t^2.911/g3^3 + (g3^11*t^3.013)/(g1*g2^2) + (g3^11*t^3.013)/(g1^2*g2) + (g1^2*g2*t^3.165)/g3^5 + (g1*g2^2*t^3.165)/g3^5 + (g3^10*t^3.983)/(g1*g2^2) + (g3^10*t^3.983)/(g1^2*g2) + g3^2*t^4.059 + (g1^2*g2*t^4.135)/g3^6 + (g1*g2^2*t^4.135)/g3^6 + (g3^9*t^4.953)/(g1*g2^2) + (g3^9*t^4.953)/(g1^2*g2) + (g1^2*g2*t^5.106)/g3^7 + (g1*g2^2*t^5.106)/g3^7 + (g1^2*g2*t^5.283)/g3 + (g1*g2^2*t^5.283)/g3 + t^5.823/g3^6 + (g3^8*t^5.924)/(g1*g2^2) + (g3^8*t^5.924)/(g1^2*g2) - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + (g3^22*t^6.025)/(g1^2*g2^4) + (g3^22*t^6.025)/(g1^3*g2^3) + (g3^22*t^6.025)/(g1^4*g2^2) + (g1^2*g2*t^6.076)/g3^8 + (g1*g2^2*t^6.076)/g3^8 - (g1^3*g2^3*t^6.152)/g3^16 + 2*g3^6*t^6.177 + (g1*g3^6*t^6.177)/g2 + (g2*g3^6*t^6.177)/g1 + (g1^2*g2*t^6.254)/g3^2 + (g1*g2^2*t^6.254)/g3^2 + (g1^4*g2^2*t^6.33)/g3^10 + (g1^3*g2^3*t^6.33)/g3^10 + (g1^2*g2^4*t^6.33)/g3^10 + (g3^7*t^6.894)/(g1*g2^2) + (g3^7*t^6.894)/(g1^2*g2) - t^6.97/g3 - (g1*t^6.97)/(g2*g3) - (g2*t^6.97)/(g1*g3) + (g3^21*t^6.996)/(g1^2*g2^4) + (2*g3^21*t^6.996)/(g1^3*g2^3) + (g3^21*t^6.996)/(g1^4*g2^2) + (g1^2*g2*t^7.047)/g3^9 + (g1*g2^2*t^7.047)/g3^9 + (g3^13*t^7.072)/(g1*g2^2) + (g3^13*t^7.072)/(g1^2*g2) - (g1^3*g2^3*t^7.123)/g3^17 + 3*g3^5*t^7.148 + (2*g1*g3^5*t^7.148)/g2 + (2*g2*g3^5*t^7.148)/g1 + (g1^3*t^7.224)/g3^3 + (2*g1^2*g2*t^7.224)/g3^3 + (2*g1*g2^2*t^7.224)/g3^3 + (g2^3*t^7.224)/g3^3 + (g1^4*g2^2*t^7.3)/g3^11 + (g1^3*g2^3*t^7.3)/g3^11 + (g1^2*g2^4*t^7.3)/g3^11 + (g3^30*t^7.636)/(g1^6*g2^6) - t^7.941/g3^2 - (g1*t^7.941)/(g2*g3^2) - (g2*t^7.941)/(g1*g3^2) + (2*g3^20*t^7.966)/(g1^2*g2^4) + (3*g3^20*t^7.966)/(g1^3*g2^3) + (2*g3^20*t^7.966)/(g1^4*g2^2) + (g1^2*g2*t^8.017)/g3^10 + (g1*g2^2*t^8.017)/g3^10 + 4*g3^4*t^8.118 + (2*g1*g3^4*t^8.118)/g2 + (2*g2*g3^4*t^8.118)/g1 + (g1^2*g2*t^8.194)/g3^4 + (g1*g2^2*t^8.194)/g3^4 + (g1^4*g2^2*t^8.271)/g3^12 + (g1^3*g2^3*t^8.271)/g3^12 + (g1^2*g2^4*t^8.271)/g3^12 + 2*g3^10*t^8.296 + (g1*g3^10*t^8.296)/g2 + (g2*g3^10*t^8.296)/g1 + (g1^4*g2^2*t^8.448)/g3^6 + (2*g1^3*g2^3*t^8.448)/g3^6 + (g1^2*g2^4*t^8.448)/g3^6 - (g3^21*t^8.683)/(g1^4*g2^5) - (g3^21*t^8.683)/(g1^5*g2^4) + t^8.734/g3^9 - (2*t^8.911)/g3^3 - (g1*t^8.911)/(g2*g3^3) - (g2*t^8.911)/(g1*g3^3) + (2*g3^19*t^8.936)/(g1^2*g2^4) + (3*g3^19*t^8.936)/(g1^3*g2^3) + (2*g3^19*t^8.936)/(g1^4*g2^2) + (g1^2*g2*t^8.987)/g3^11 + (g1*g2^2*t^8.987)/g3^11 + t^8.911/(g3^3*y^2) - t^3.97/(g3*y) - t^4.941/(g3^2*y) - t^6.882/(g3^4*y) - (g3^10*t^6.983)/(g1*g2^2*y) - (g3^10*t^6.983)/(g1^2*g2*y) - (g1^2*g2*t^7.135)/(g3^6*y) - (g1*g2^2*t^7.135)/(g3^6*y) - t^7.852/(g3^5*y) - (g3^9*t^7.953)/(g1*g2^2*y) - (g3^9*t^7.953)/(g1^2*g2*y) - (g1^2*g2*t^8.106)/(g3^7*y) - (g1*g2^2*t^8.106)/(g3^7*y) - (t^3.97*y)/g3 - (t^4.941*y)/g3^2 - (t^6.882*y)/g3^4 - (g3^10*t^6.983*y)/(g1*g2^2) - (g3^10*t^6.983*y)/(g1^2*g2) - (g1^2*g2*t^7.135*y)/g3^6 - (g1*g2^2*t^7.135*y)/g3^6 - (t^7.852*y)/g3^5 - (g3^9*t^7.953*y)/(g1*g2^2) - (g3^9*t^7.953*y)/(g1^2*g2) - (g1^2*g2*t^8.106*y)/g3^7 - (g1*g2^2*t^8.106*y)/g3^7 + (t^8.911*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47921 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4635 | 1.664 | 0.8795 | [X:[1.3534], M:[0.671], q:[0.5755, 0.5258], qb:[0.4799, 0.479], phi:[0.3233]] | t^2.013 + t^2.91 + t^3.014 + t^3.017 + t^3.163 + t^3.166 + t^3.984 + t^4.026 + t^4.06 + t^4.133 + t^4.136 + t^4.923 + t^4.954 + t^4.957 + t^5.027 + t^5.03 + t^5.103 + t^5.106 + t^5.176 + t^5.179 + t^5.283 + t^5.286 + t^5.82 + t^5.924 + t^5.927 - 3*t^6. - t^3.97/y - t^4.94/y - t^5.983/y - t^3.97*y - t^4.94*y - t^5.983*y | detail | |
| 47947 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0879 | 1.2082 | 0.9004 | [X:[1.5125], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]] | t^2.194 + t^2.344 + t^3.075 + t^3.304 + t^3.806 + t^4.309 + t^4.387 + 2*t^4.538 + t^4.688 + t^5.04 + 2*t^5.269 + t^5.419 + t^5.542 + t^5.648 + t^5.877 - 2*t^6. - t^3.731/y - t^4.462/y - t^5.925/y - t^3.731*y - t^4.462*y - t^5.925*y | detail | |
| 47953 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4221 | 1.5818 | 0.899 | [X:[1.4074], q:[0.5926, 0.5185], qb:[0.5926, 0.5185], phi:[0.2963]] | t^2.667 + t^3.111 + 2*t^3.333 + t^3.556 + t^4. + 3*t^4.222 + t^4.444 + t^4.889 + 2*t^5.111 + 2*t^5.333 + t^5.778 - t^3.889/y - t^4.778/y - t^3.889*y - t^4.778*y | detail | {a: 1843/1296, c: 1025/648, X1: 38/27, q1: 16/27, q2: 14/27, qb1: 16/27, qb2: 14/27, phi1: 8/27} |
| 47932 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y | detail | |
| 47940 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y | detail | |
| 47911 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.4406 | 1.6281 | 0.8848 | [X:[1.3333], q:[0.5771, 0.5124], qb:[0.4552, 0.4552], phi:[0.3333]] | 2*t^2.903 + t^3. + 2*t^3.097 + 2*t^3.903 + t^4. + 2*t^4.097 + 2*t^4.903 + 4*t^5.097 + 3*t^5.806 + 2*t^5.903 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 47888 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], q:[0.6858, 0.4426], qb:[1.3142, 0.4426], phi:[0.1858]] | t^2.656 + t^3.213 + t^3.77 + t^4.328 + t^4.885 + t^5.311 + 2*t^5.656 + t^5.869 - 2*t^6. - t^3.557/y - t^4.115/y - t^3.557*y - t^4.115*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | ${}$ | 1.4743 | 1.6854 | 0.8748 | [q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.026 + 4*t^2.96 + t^3.04 + 4*t^3.974 + t^4.053 + 8*t^4.987 + t^5.066 + 4*t^5.454 + 10*t^5.921 - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |