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 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], M:[], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | [X:[[0, 0, 2]], M:[], 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_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_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_1^3q_2\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_2$ | . | -5 | t^2.91 + 2*t^3.01 + 2*t^3.16 + 2*t^3.98 + t^4.06 + 2*t^4.14 + 2*t^4.95 + 2*t^5.11 + 2*t^5.28 + t^5.82 + 2*t^5.92 - 5*t^6. + 3*t^6.03 + 2*t^6.08 - t^6.15 + 4*t^6.18 + 2*t^6.25 + 3*t^6.33 + 2*t^6.89 - 3*t^6.97 + 4*t^7. + 2*t^7.05 + 2*t^7.07 - t^7.12 + 7*t^7.15 + 6*t^7.22 + 3*t^7.3 + t^7.64 - 3*t^7.94 + 7*t^7.97 + 2*t^8.02 + 8*t^8.12 + 2*t^8.19 + 3*t^8.27 + 4*t^8.3 + 4*t^8.45 - 2*t^8.68 + t^8.73 - 4*t^8.91 + 7*t^8.94 + 2*t^8.99 + t^8.91/y^2 - t^3.97/y - t^4.94/y - t^6.88/y - (2*t^6.98)/y - (2*t^7.14)/y - t^7.85/y - (2*t^7.95)/y - (2*t^8.11)/y - t^3.97*y - t^4.94*y - t^6.88*y - 2*t^6.98*y - 2*t^7.14*y - t^7.85*y - 2*t^7.95*y - 2*t^8.11*y + t^8.91*y^2 | t^2.91/g3^3 + (g3^11*t^3.01)/(g1*g2^2) + (g3^11*t^3.01)/(g1^2*g2) + (g1^2*g2*t^3.16)/g3^5 + (g1*g2^2*t^3.16)/g3^5 + (g3^10*t^3.98)/(g1*g2^2) + (g3^10*t^3.98)/(g1^2*g2) + g3^2*t^4.06 + (g1^2*g2*t^4.14)/g3^6 + (g1*g2^2*t^4.14)/g3^6 + (g3^9*t^4.95)/(g1*g2^2) + (g3^9*t^4.95)/(g1^2*g2) + (g1^2*g2*t^5.11)/g3^7 + (g1*g2^2*t^5.11)/g3^7 + (g1^2*g2*t^5.28)/g3 + (g1*g2^2*t^5.28)/g3 + t^5.82/g3^6 + (g3^8*t^5.92)/(g1*g2^2) + (g3^8*t^5.92)/(g1^2*g2) - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + (g3^22*t^6.03)/(g1^2*g2^4) + (g3^22*t^6.03)/(g1^3*g2^3) + (g3^22*t^6.03)/(g1^4*g2^2) + (g1^2*g2*t^6.08)/g3^8 + (g1*g2^2*t^6.08)/g3^8 - (g1^3*g2^3*t^6.15)/g3^16 + 2*g3^6*t^6.18 + (g1*g3^6*t^6.18)/g2 + (g2*g3^6*t^6.18)/g1 + (g1^2*g2*t^6.25)/g3^2 + (g1*g2^2*t^6.25)/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^6.89)/(g1*g2^2) + (g3^7*t^6.89)/(g1^2*g2) - t^6.97/g3 - (g1*t^6.97)/(g2*g3) - (g2*t^6.97)/(g1*g3) + (g3^21*t^7.)/(g1^2*g2^4) + (2*g3^21*t^7.)/(g1^3*g2^3) + (g3^21*t^7.)/(g1^4*g2^2) + (g1^2*g2*t^7.05)/g3^9 + (g1*g2^2*t^7.05)/g3^9 + (g3^13*t^7.07)/(g1*g2^2) + (g3^13*t^7.07)/(g1^2*g2) - (g1^3*g2^3*t^7.12)/g3^17 + 3*g3^5*t^7.15 + (2*g1*g3^5*t^7.15)/g2 + (2*g2*g3^5*t^7.15)/g1 + (g1^3*t^7.22)/g3^3 + (2*g1^2*g2*t^7.22)/g3^3 + (2*g1*g2^2*t^7.22)/g3^3 + (g2^3*t^7.22)/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^7.64)/(g1^6*g2^6) - t^7.94/g3^2 - (g1*t^7.94)/(g2*g3^2) - (g2*t^7.94)/(g1*g3^2) + (2*g3^20*t^7.97)/(g1^2*g2^4) + (3*g3^20*t^7.97)/(g1^3*g2^3) + (2*g3^20*t^7.97)/(g1^4*g2^2) + (g1^2*g2*t^8.02)/g3^10 + (g1*g2^2*t^8.02)/g3^10 + 4*g3^4*t^8.12 + (2*g1*g3^4*t^8.12)/g2 + (2*g2*g3^4*t^8.12)/g1 + (g1^2*g2*t^8.19)/g3^4 + (g1*g2^2*t^8.19)/g3^4 + (g1^4*g2^2*t^8.27)/g3^12 + (g1^3*g2^3*t^8.27)/g3^12 + (g1^2*g2^4*t^8.27)/g3^12 + 2*g3^10*t^8.3 + (g1*g3^10*t^8.3)/g2 + (g2*g3^10*t^8.3)/g1 + (g1^4*g2^2*t^8.45)/g3^6 + (2*g1^3*g2^3*t^8.45)/g3^6 + (g1^2*g2^4*t^8.45)/g3^6 - (g3^21*t^8.68)/(g1^4*g2^5) - (g3^21*t^8.68)/(g1^5*g2^4) + t^8.73/g3^9 - (2*t^8.91)/g3^3 - (g1*t^8.91)/(g2*g3^3) - (g2*t^8.91)/(g1*g3^3) + (2*g3^19*t^8.94)/(g1^2*g2^4) + (3*g3^19*t^8.94)/(g1^3*g2^3) + (2*g3^19*t^8.94)/(g1^4*g2^2) + (g1^2*g2*t^8.99)/g3^11 + (g1*g2^2*t^8.99)/g3^11 + t^8.91/(g3^3*y^2) - t^3.97/(g3*y) - t^4.94/(g3^2*y) - t^6.88/(g3^4*y) - (g3^10*t^6.98)/(g1*g2^2*y) - (g3^10*t^6.98)/(g1^2*g2*y) - (g1^2*g2*t^7.14)/(g3^6*y) - (g1*g2^2*t^7.14)/(g3^6*y) - t^7.85/(g3^5*y) - (g3^9*t^7.95)/(g1*g2^2*y) - (g3^9*t^7.95)/(g1^2*g2*y) - (g1^2*g2*t^8.11)/(g3^7*y) - (g1*g2^2*t^8.11)/(g3^7*y) - (t^3.97*y)/g3 - (t^4.94*y)/g3^2 - (t^6.88*y)/g3^4 - (g3^10*t^6.98*y)/(g1*g2^2) - (g3^10*t^6.98*y)/(g1^2*g2) - (g1^2*g2*t^7.14*y)/g3^6 - (g1*g2^2*t^7.14*y)/g3^6 - (t^7.85*y)/g3^5 - (g3^9*t^7.95*y)/(g1*g2^2) - (g3^9*t^7.95*y)/(g1^2*g2) - (g1^2*g2*t^8.11*y)/g3^7 - (g1*g2^2*t^8.11*y)/g3^7 + (t^8.91*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 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1q_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^2.01 + t^2.91 + t^3.01 + t^3.02 + t^3.16 + t^3.17 + t^3.98 + t^4.03 + t^4.06 + t^4.13 + t^4.14 + t^4.92 + t^4.95 + t^4.96 + 2*t^5.03 + t^5.1 + t^5.11 + 2*t^5.18 + t^5.28 + t^5.29 + t^5.82 + t^5.92 + t^5.93 - 4*t^6. - t^3.97/y - t^4.94/y - t^5.98/y - t^3.97*y - t^4.94*y - t^5.98*y | detail | |
| 47947 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ \phi_1q_1\tilde{q}_1$ | 1.0879 | 1.2082 | 0.9004 | [X:[1.5125], M:[], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]] | t^2.19 + t^2.34 + t^3.08 + t^3.3 + t^3.81 + t^4.31 + t^4.39 + 2*t^4.54 + t^4.69 + t^5.04 + 2*t^5.27 + t^5.42 + t^5.54 + t^5.65 + t^5.88 - 2*t^6. - t^3.73/y - t^4.46/y - t^5.92/y - t^3.73*y - t^4.46*y - t^5.92*y | detail | |
| 47953 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2$ | 1.4221 | 1.5818 | 0.899 | [X:[1.4074], M:[], q:[0.5926, 0.5185], qb:[0.5926, 0.5185], phi:[0.2963]] | t^2.67 + t^3.11 + 2*t^3.33 + t^3.56 + t^4. + 3*t^4.22 + t^4.44 + t^4.89 + 2*t^5.11 + 2*t^5.33 + t^5.78 - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*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 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ \phi_1^2q_1\tilde{q}_1$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], M:[], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | t^2.32 + t^2.76 + t^3.16 + t^3.24 + t^3.32 + t^4.08 + 3*t^4.16 + t^4.24 + t^4.65 + 2*t^5.08 + t^5.16 + 2*t^5.48 + t^5.52 + t^5.56 + t^5.65 - t^6. - t^3.92/y - t^4.84/y - t^3.92*y - t^4.84*y | detail | |
| 47940 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ \phi_1^3q_2\tilde{q}_1$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], M:[], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | t^2.9 + t^3.02 + 2*t^3.1 + t^3.18 + t^3.99 + 3*t^4.07 + t^4.14 + t^4.96 + 2*t^5.03 + t^5.11 + t^5.23 + t^5.31 + t^5.8 - t^6. - t^3.97/y - t^4.93/y - t^3.97*y - t^4.93*y | detail | |
| 47911 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ \phi_1^6$ | 1.4406 | 1.6281 | 0.8848 | [X:[1.3333], M:[], q:[0.5771, 0.5124], qb:[0.4552, 0.4552], phi:[0.3333]] | 2*t^2.9 + t^3. + 2*t^3.1 + 2*t^3.9 + t^4. + 2*t^4.1 + 2*t^4.9 + 4*t^5.1 + 3*t^5.81 + 2*t^5.9 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 47888 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ q_1\tilde{q}_1$ + $ \phi_1^3X_2$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], M:[], q:[0.6858, 0.4426], qb:[1.3142, 0.4426], phi:[0.1858]] | t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. - t^3.56/y - t^4.11/y - t^3.56*y - t^4.11*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 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |