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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | $q_1q_2\tilde{q}_1^2$ | 1.4741 | 1.6835 | 0.8756 | [X:[], M:[], q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | [X:[], M:[], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1^3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^5$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1^2q_2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3q_1\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$ | . | -3 | t^2.01 + 2*t^2.97 + 2*t^3. + t^3.02 + 2*t^3.97 + 2*t^4.01 + t^4.02 + 4*t^4.98 + 4*t^5.01 + t^5.03 + t^5.46 + 2*t^5.48 + t^5.5 + 3*t^5.93 + 3*t^5.97 + 4*t^5.98 - 3*t^6. + 4*t^6.02 + t^6.03 + t^6.47 + 2*t^6.49 + t^6.5 + 4*t^6.94 + 7*t^6.97 + 6*t^6.99 - t^7.01 + 6*t^7.02 + t^7.44 + t^7.48 + 4*t^7.49 + t^7.51 + t^7.54 + 10*t^7.95 - 2*t^7.96 + 13*t^7.98 + 4*t^7.99 + 6*t^8.03 + 2*t^8.43 + 4*t^8.45 + 2*t^8.46 + 2*t^8.48 + 2*t^8.5 - 2*t^8.51 - 2*t^8.53 + 4*t^8.9 + 4*t^8.93 + 11*t^8.95 - 10*t^8.97 + 17*t^8.98 - t^4.01/y - t^5.01/y - t^6.02/y - (2*t^6.97)/y - (2*t^7.01)/y - (2*t^7.02)/y + t^7.99/y - t^8.03/y + t^8.93/y + (4*t^8.97)/y - t^4.01*y - t^5.01*y - t^6.02*y - 2*t^6.97*y - 2*t^7.01*y - 2*t^7.02*y + t^7.99*y - t^8.03*y + t^8.93*y + 4*t^8.97*y | (g2^2*t^2.01)/g3^2 + g1*g3^6*t^2.97 + (g3^6*t^2.97)/(g1*g2^12) + t^3./(g1*g2^6) + g1*g2^6*t^3. + (g2^3*t^3.02)/g3^3 + (g3^5*t^3.97)/(g1*g2^11) + g1*g2*g3^5*t^3.97 + t^4.01/(g1*g2^5*g3) + (g1*g2^7*t^4.01)/g3 + (g2^4*t^4.02)/g3^4 + (2*g3^4*t^4.98)/(g1*g2^10) + 2*g1*g2^2*g3^4*t^4.98 + (2*t^5.01)/(g1*g2^4*g3^2) + (2*g1*g2^8*t^5.01)/g3^2 + (g2^5*t^5.03)/g3^5 + g2^7*g3^11*t^5.46 + t^5.48/(g1*g2^23*g3) + (g1*t^5.48)/(g2^11*g3) + g2^13*g3^5*t^5.5 + g1^2*g3^12*t^5.93 + (g3^12*t^5.93)/(g1^2*g2^24) + (g3^12*t^5.93)/g2^12 + (g3^6*t^5.97)/(g1^2*g2^18) + (g3^6*t^5.97)/g2^6 + g1^2*g2^6*g3^6*t^5.97 + (2*g3^3*t^5.98)/(g1*g2^9) + 2*g1*g2^3*g3^3*t^5.98 - 3*t^6. + (2*t^6.02)/(g1*g2^3*g3^3) + (2*g1*g2^9*t^6.02)/g3^3 + (g2^6*t^6.03)/g3^6 + g2^8*g3^10*t^6.47 + t^6.49/(g1*g2^22*g3^2) + (g1*t^6.49)/(g2^10*g3^2) + g2^14*g3^4*t^6.5 + (g3^11*t^6.94)/(g1^2*g2^23) + (2*g3^11*t^6.94)/g2^11 + g1^2*g2*g3^11*t^6.94 + (2*g3^5*t^6.97)/(g1^2*g2^17) + (3*g3^5*t^6.97)/g2^5 + 2*g1^2*g2^7*g3^5*t^6.97 + (3*g3^2*t^6.99)/(g1*g2^8) + 3*g1*g2^4*g3^2*t^6.99 - (g2*t^7.01)/g3 + (3*t^7.02)/(g1*g2^2*g3^4) + (3*g1*g2^10*t^7.02)/g3^4 + g2^3*g3^15*t^7.44 - t^7.48/g2^18 + 2*g2^9*g3^9*t^7.48 + t^7.49/(g1^3*g2^33*g3^3) + (2*t^7.49)/(g1*g2^21*g3^3) + (2*g1*t^7.49)/(g2^9*g3^3) + (g1^3*g2^3*t^7.49)/g3^3 - (g2^6*g3^6*t^7.49)/g1 - g1*g2^18*g3^6*t^7.49 - t^7.51/(g2^12*g3^6) + 2*g2^15*g3^3*t^7.51 + (g2^21*t^7.54)/g3^3 + (3*g3^10*t^7.95)/(g1^2*g2^22) + (4*g3^10*t^7.95)/g2^10 + 3*g1^2*g2^2*g3^10*t^7.95 - (g3^7*t^7.96)/(g1*g2^13) - (g1*g3^7*t^7.96)/g2 + (4*g3^4*t^7.98)/(g1^2*g2^16) + (5*g3^4*t^7.98)/g2^4 + 4*g1^2*g2^8*g3^4*t^7.98 + (2*g3*t^7.99)/(g1*g2^7) + 2*g1*g2^5*g3*t^7.99 + t^8.01/(g1^2*g2^10*g3^2) - (2*g2^2*t^8.01)/g3^2 + (g1^2*g2^14*t^8.01)/g3^2 + (3*t^8.03)/(g1*g2*g3^5) + (3*g1*g2^11*t^8.03)/g3^5 + (g3^17*t^8.43)/(g1*g2^5) + g1*g2^7*g3^17*t^8.43 + (g3^5*t^8.45)/(g1^2*g2^35) + (2*g3^5*t^8.45)/g2^23 + (g1^2*g3^5*t^8.45)/g2^11 + (g2*g3^11*t^8.46)/g1 + g1*g2^13*g3^11*t^8.46 + 2*g2^10*g3^8*t^8.48 + (2*t^8.5)/(g1*g2^20*g3^4) + (2*g1*t^8.5)/(g2^8*g3^4) - (g2^7*g3^5*t^8.5)/g1 - g1*g2^19*g3^5*t^8.5 - t^8.51/(g1^2*g2^23*g3^7) - (2*t^8.51)/(g2^11*g3^7) - (g1^2*g2*t^8.51)/g3^7 + 2*g2^16*g3^2*t^8.51 - (g2^13*t^8.53)/(g1*g3) - (g1*g2^25*t^8.53)/g3 + g1^3*g3^18*t^8.9 + (g3^18*t^8.9)/(g1^3*g2^36) + (g3^18*t^8.9)/(g1*g2^24) + (g1*g3^18*t^8.9)/g2^12 + (g3^12*t^8.93)/(g1^3*g2^30) + (g3^12*t^8.93)/(g1*g2^18) + (g1*g3^12*t^8.93)/g2^6 + g1^3*g2^6*g3^12*t^8.93 + (3*g3^9*t^8.95)/(g1^2*g2^21) + (5*g3^9*t^8.95)/g2^9 + 3*g1^2*g2^3*g3^9*t^8.95 - 5*g1*g3^6*t^8.97 - (5*g3^6*t^8.97)/(g1*g2^12) + (5*g3^3*t^8.98)/(g1^2*g2^15) + (7*g3^3*t^8.98)/g2^3 + 5*g1^2*g2^9*g3^3*t^8.98 - (g2*t^4.01)/(g3*y) - (g2^2*t^5.01)/(g3^2*y) - (g2^3*t^6.02)/(g3^3*y) - (g3^5*t^6.97)/(g1*g2^11*y) - (g1*g2*g3^5*t^6.97)/y - t^7.01/(g1*g2^5*g3*y) - (g1*g2^7*t^7.01)/(g3*y) - (2*g2^4*t^7.02)/(g3^4*y) + (g3*t^7.99)/(g2*y) - (g2^5*t^8.03)/(g3^5*y) + (g3^12*t^8.93)/(g2^12*y) + (g3^6*t^8.97)/(g1^2*g2^18*y) + (2*g3^6*t^8.97)/(g2^6*y) + (g1^2*g2^6*g3^6*t^8.97)/y - (g2*t^4.01*y)/g3 - (g2^2*t^5.01*y)/g3^2 - (g2^3*t^6.02*y)/g3^3 - (g3^5*t^6.97*y)/(g1*g2^11) - g1*g2*g3^5*t^6.97*y - (t^7.01*y)/(g1*g2^5*g3) - (g1*g2^7*t^7.01*y)/g3 - (2*g2^4*t^7.02*y)/g3^4 + (g3*t^7.99*y)/g2 - (g2^5*t^8.03*y)/g3^5 + (g3^12*t^8.93*y)/g2^12 + (g3^6*t^8.97*y)/(g1^2*g2^18) + (2*g3^6*t^8.97*y)/g2^6 + g1^2*g2^6*g3^6*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 47946 | $q_1q_2\tilde{q}_1^2$ + $ M_1\phi_1q_1\tilde{q}_2$ | 1.4949 | 1.7246 | 0.8668 | [X:[], M:[0.6737], q:[0.4984, 0.4969], qb:[0.5023, 0.493], phi:[0.3349]] | t^2.01 + t^2.02 + 2*t^2.97 + 2*t^3. + t^3.01 + t^3.97 + t^4. + t^4.01 + t^4.02 + t^4.03 + t^4.04 + 4*t^4.98 + t^4.99 + t^5. + 4*t^5.01 + 3*t^5.02 + t^5.04 + t^5.47 + t^5.48 + t^5.49 + t^5.5 + 2*t^5.94 + t^5.95 + 2*t^5.97 + 3*t^5.98 + t^5.99 - 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
| 47902 | $q_1q_2\tilde{q}_1^2$ + $ M_1\phi_1^2$ | 1.4533 | 1.6422 | 0.885 | [X:[], M:[1.3296], q:[0.4972, 0.4972], qb:[0.5028, 0.4916], phi:[0.3352]] | 2*t^2.97 + 2*t^3. + t^3.02 + 2*t^3.97 + t^3.99 + 2*t^4.01 + 2*t^4.98 + 2*t^5.01 + t^5.46 + 2*t^5.48 + t^5.5 + 3*t^5.93 + 3*t^5.97 + 2*t^5.98 - 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 47909 | $q_1q_2\tilde{q}_1^2$ + $ M_1\phi_1^3$ | 1.4751 | 1.6878 | 0.874 | [X:[], M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]] | t^2.03 + 2*t^2.9 + t^2.95 + 2*t^3. + 2*t^3.92 + 2*t^4.02 + t^4.06 + 4*t^4.94 + t^4.98 + 4*t^5.03 + t^5.4 + 2*t^5.44 + t^5.49 + 3*t^5.81 + 2*t^5.86 + 4*t^5.9 + 4*t^5.95 - 3*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y | detail | |
| 47920 | $q_1q_2\tilde{q}_1^2$ + $ M_1q_1\tilde{q}_1$ | 1.4749 | 1.6855 | 0.8751 | [X:[], M:[0.9816], q:[0.5159, 0.4791], qb:[0.5025, 0.4919], phi:[0.3351]] | t^2.01 + t^2.91 + 2*t^2.94 + 2*t^3.02 + t^3.92 + t^3.95 + t^4.02 + t^4.03 + t^4.06 + 2*t^4.92 + 3*t^4.96 + 3*t^5.03 + t^5.07 + t^5.43 + t^5.46 + t^5.5 + t^5.54 + t^5.83 + 2*t^5.86 + 2*t^5.89 + 2*t^5.93 + t^5.94 + 3*t^5.96 + t^5.97 - 4*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 47886 | $q_1q_2\tilde{q}_1^2$ + $ M_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.84 + t^2.94 + t^2.95 + t^3.05 + t^3.06 + t^3.93 + 2*t^4.03 + t^4.04 + t^4.14 + t^4.91 + t^5.01 + t^5.02 + t^5.12 + t^5.5 + t^5.51 + 2*t^5.61 + t^5.69 + 2*t^5.79 + 2*t^5.89 + t^5.9 + 2*t^5.99 - 3*t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
| 47910 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], M:[], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | t^2.21 + t^2.31 + t^3.05 + t^3.69 + t^3.79 + t^3.89 + t^4.42 + 2*t^4.53 + t^4.63 + 2*t^5.26 + t^5.37 + 2*t^5.63 + 2*t^5.74 - t^6. - t^3.74/y - t^4.47/y - t^5.95/y - t^3.74*y - t^4.47*y - t^5.95*y | detail | |
| 47944 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1q_1^2q_2$ + $ \phi_1^2X_1$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], M:[], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.91 + t^2.96 + t^3. + t^3.09 + t^3.17 + t^3.9 + t^3.98 + t^4.03 + t^4.07 + t^4.16 + t^4.88 + t^4.97 + t^5.06 + 2*t^5.14 + t^5.23 + t^5.83 + t^5.87 + t^5.91 + t^5.95 + t^5.99 - 2*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 47912 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], M:[], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | t^2.92 + 2*t^3. + 2*t^3.16 + 2*t^3.97 + t^4.05 + 2*t^4.14 + 2*t^4.95 + 2*t^5.11 + 2*t^5.27 + t^5.84 + 2*t^5.92 - 2*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail | |
| 47924 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4375 | 1.625 | 0.8846 | [X:[1.3333], M:[], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]] | 5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3} |
| 47925 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1^2q_1\tilde{q}_1$ + $ q_2\tilde{q}_2X_1$ | 1.2241 | 1.4234 | 0.86 | [X:[1.459], M:[], q:[0.7527, 0.2117], qb:[0.5178, 0.3292], phi:[0.3648]] | 2*t^2.19 + t^2.72 + t^3.25 + 2*t^3.28 + 2*t^3.81 + t^4.34 + 4*t^4.38 + 2*t^4.62 + 3*t^4.91 + 2*t^5.19 + 3*t^5.43 + 3*t^5.47 + 2*t^5.72 + t^5.96 + 3*t^6. - t^4.09/y - t^5.19/y - t^4.09*y - t^5.19*y | detail | |
| 47899 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1^3q_1\tilde{q}_2$ | 1.474 | 1.6831 | 0.8758 | [X:[], M:[], q:[0.5017, 0.4949], qb:[0.5017, 0.4949], phi:[0.3345]] | t^2.01 + t^2.97 + 2*t^2.99 + 2*t^3.01 + t^3.97 + 2*t^3.99 + 2*t^4.01 + 2*t^4.98 + 4*t^5. + 3*t^5.02 + 2*t^5.48 + 2*t^5.5 + t^5.94 + 2*t^5.96 + 4*t^5.98 + 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
| 47892 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1^5$ + $ q_1\tilde{q}_2X_1$ + $ q_2\tilde{q}_2X_2$ | 1.2512 | 1.4512 | 0.8622 | [X:[1.4, 1.4], M:[], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]] | t^2.4 + 4*t^3. + t^3.6 + 6*t^4.2 + t^4.35 + 2*t^4.65 + 6*t^5.4 + 3*t^5.55 + 2*t^5.85 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 20019/16000, c: 23219/16000, X1: 7/5, X2: 7/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5} |
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 |