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 |
|---|---|---|---|---|---|---|---|---|---|
| 181 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7963 | 0.8144 | [X:[], M:[0.6913, 1.2958, 0.7078, 0.7007], q:[0.8352, 0.8127], qb:[0.4736, 0.4701], phi:[0.3521]] | [X:[], M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [0, -5, 1]], 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 |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_1M_3$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1M_2$, $ M_4q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.07 + t^2.1 + t^2.12 + t^2.83 + t^3.85 + t^3.86 + 2*t^3.89 + t^3.92 + t^4.15 + t^4.18 + 2*t^4.2 + t^4.23 + t^4.25 + t^4.9 + t^4.93 + t^4.94 + t^4.95 + t^5.66 + t^5.92 + t^5.93 + t^5.95 + 2*t^5.96 + t^5.98 + 2*t^5.99 - 3*t^6. + t^6.01 + t^6.02 - t^6.03 + t^6.22 + t^6.25 + t^6.27 + t^6.28 + t^6.3 + t^6.31 + t^6.32 + t^6.33 + t^6.35 + t^6.37 + t^6.68 + t^6.69 + 2*t^6.72 + t^6.75 + t^6.98 + t^7.01 + t^7.04 - t^7.06 - t^7.1 + t^7.7 + t^7.71 + t^7.72 + 2*t^7.74 + t^7.75 + t^7.76 + 2*t^7.77 + t^7.8 - t^7.81 + t^7.83 + t^8. + t^8.01 + t^8.02 + 2*t^8.03 + t^8.05 + 3*t^8.06 - 3*t^8.07 + t^8.08 + 2*t^8.09 - 4*t^8.1 + 2*t^8.11 - 2*t^8.12 - t^8.15 + t^8.3 + t^8.32 + t^8.34 + t^8.35 + t^8.37 + t^8.38 + t^8.39 + t^8.4 + t^8.41 + t^8.42 + t^8.43 + t^8.44 + t^8.45 + t^8.47 + 2*t^8.49 + t^8.75 + t^8.76 + t^8.78 + 2*t^8.79 + t^8.81 + t^8.82 - 3*t^8.83 + t^8.85 - t^8.86 - t^8.87 - t^4.06/y - t^6.13/y - t^6.16/y - t^6.18/y + t^7.18/y + t^7.2/y + t^7.23/y + t^7.9/y + (2*t^7.93)/y + (2*t^7.95)/y + t^7.98/y - t^8.2/y - t^8.23/y - t^8.25/y - t^8.26/y - t^8.28/y - t^8.3/y + t^8.92/y + t^8.93/y + t^8.95/y + (3*t^8.96)/y + t^8.97/y + t^8.98/y + (3*t^8.99)/y - t^4.06*y - t^6.13*y - t^6.16*y - t^6.18*y + t^7.18*y + t^7.2*y + t^7.23*y + t^7.9*y + 2*t^7.93*y + 2*t^7.95*y + t^7.98*y - t^8.2*y - t^8.23*y - t^8.25*y - t^8.26*y - t^8.28*y - t^8.3*y + t^8.92*y + t^8.93*y + t^8.95*y + 3*t^8.96*y + t^8.97*y + t^8.98*y + 3*t^8.99*y | (g1*t^2.07)/(g2^4*g3) + (g3*t^2.1)/g2^5 + (g2*t^2.12)/g3^5 + g2^3*g3^3*t^2.83 + g1*g3^3*t^3.85 + g1*g2^3*t^3.86 + 2*g2^2*g3^2*t^3.89 + (g2*g3^4*t^3.92)/g1 + (g1^2*t^4.15)/(g2^8*g3^2) + (g1*t^4.18)/g2^9 + (g1*t^4.2)/(g2^3*g3^6) + (g3^2*t^4.2)/g2^10 + t^4.23/(g2^4*g3^4) + (g2^2*t^4.25)/g3^10 + (g1*g3^2*t^4.9)/g2 + (g3^4*t^4.93)/g2^2 + g2*g3*t^4.94 + (g2^4*t^4.95)/g3^2 + g2^6*g3^6*t^5.66 + (g1^2*g3^2*t^5.92)/g2^4 + (g1^2*t^5.93)/(g2*g3) + (g1*g3^4*t^5.95)/g2^5 + (2*g1*g3*t^5.96)/g2^2 + (g1*g2^4*t^5.98)/g3^5 + (2*g3^3*t^5.99)/g2^3 - 3*t^6. + (g2^3*t^6.01)/g3^3 + (g3^5*t^6.02)/(g1*g2^4) - (g3^2*t^6.03)/(g1*g2) + (g1^3*t^6.22)/(g2^12*g3^3) + (g1^2*t^6.25)/(g2^13*g3) + (g1^2*t^6.27)/(g2^7*g3^7) + (g1*g3*t^6.28)/g2^14 + (g1*t^6.3)/(g2^8*g3^5) + (g3^3*t^6.31)/g2^15 + (g1*t^6.32)/(g2^2*g3^11) + t^6.33/(g2^9*g3^3) + t^6.35/(g2^3*g3^9) + (g2^3*t^6.37)/g3^15 + g1*g2^3*g3^6*t^6.68 + g1*g2^6*g3^3*t^6.69 + 2*g2^5*g3^5*t^6.72 + (g2^4*g3^7*t^6.75)/g1 + (g1^2*g3*t^6.98)/g2^5 + (g1*g3^3*t^7.01)/g2^6 + (g3^5*t^7.04)/g2^7 - t^7.06/(g2*g3) + (g2^5*t^7.08)/g3^7 - (g3*t^7.08)/(g1*g2^2) - (g2*t^7.1)/(g1*g3^2) + g1^2*g3^6*t^7.7 + g1^2*g2^3*g3^3*t^7.71 + g1^2*g2^6*t^7.72 + 2*g1*g2^2*g3^5*t^7.74 + g1*g2^5*g3^2*t^7.75 + g2*g3^7*t^7.76 + 2*g2^4*g3^4*t^7.77 + (g2^3*g3^6*t^7.8)/g1 - (g2^6*g3^3*t^7.81)/g1 + (g2^2*g3^8*t^7.83)/g1^2 + (g1^3*g3*t^8.)/g2^8 + (g1^3*t^8.01)/(g2^5*g3^2) + (g1^2*g3^3*t^8.02)/g2^9 + (2*g1^2*t^8.03)/g2^6 + (g1*g3^5*t^8.05)/g2^10 + (g1^2*t^8.06)/g3^6 + (2*g1*g3^2*t^8.06)/g2^7 - (3*g1*t^8.07)/(g2^4*g3) + (g1*t^8.08)/(g2*g3^4) + (2*g3^4*t^8.09)/g2^8 - (4*g3*t^8.1)/g2^5 + (g1*g2^5*t^8.11)/g3^10 + t^8.11/(g2^2*g3^2) - (3*g2*t^8.12)/g3^5 + (g3^6*t^8.12)/(g1*g2^9) + (g2^4*t^8.13)/g3^8 - (g3^3*t^8.13)/(g1*g2^6) - t^8.15/(g1*g3^3) + (g1^4*t^8.3)/(g2^16*g3^4) + (g1^3*t^8.32)/(g2^17*g3^2) + (g1^3*t^8.34)/(g2^11*g3^8) + (g1^2*t^8.35)/g2^18 + (g1^2*t^8.37)/(g2^12*g3^6) + (g1*g3^2*t^8.38)/g2^19 + (g1^2*t^8.39)/(g2^6*g3^12) + (g1*t^8.4)/(g2^13*g3^4) + (g3^4*t^8.41)/g2^20 + (g1*t^8.42)/(g2^7*g3^10) + t^8.43/(g2^14*g3^2) + (g1*t^8.44)/(g2*g3^16) + t^8.45/(g2^8*g3^8) + t^8.47/(g2^2*g3^14) + (g2^4*t^8.49)/g3^20 + g2^9*g3^9*t^8.49 + (g1^2*g3^5*t^8.75)/g2 + g1^2*g2^2*g3^2*t^8.76 + (g1*g3^7*t^8.78)/g2^2 + 2*g1*g2*g3^4*t^8.79 + (g1*g2^7*t^8.81)/g3^2 + g3^6*t^8.82 - 3*g2^3*g3^3*t^8.83 + (g3^8*t^8.85)/(g1*g2) - (g2^2*g3^5*t^8.86)/g1 - (g2^5*g3^2*t^8.87)/g1 - t^4.06/(g2*g3*y) - (g1*t^6.13)/(g2^5*g3^2*y) - t^6.16/(g2^6*y) - t^6.18/(g3^6*y) + (g1*t^7.18)/(g2^9*y) + (g1*t^7.2)/(g2^3*g3^6*y) + t^7.23/(g2^4*g3^4*y) + (g1*g3^2*t^7.9)/(g2*y) + (2*g3^4*t^7.93)/(g2^2*y) + (2*g2^4*t^7.95)/(g3^2*y) + (g2^3*t^7.98)/(g1*y) - (g1^2*t^8.2)/(g2^9*g3^3*y) - (g1*t^8.23)/(g2^10*g3*y) - (g1*t^8.25)/(g2^4*g3^7*y) - (g3*t^8.26)/(g2^11*y) - t^8.28/(g2^5*g3^5*y) - (g2*t^8.3)/(g3^11*y) + (g1^2*g3^2*t^8.92)/(g2^4*y) + (g1^2*t^8.93)/(g2*g3*y) + (g1*g3^4*t^8.95)/(g2^5*y) + (3*g1*g3*t^8.96)/(g2^2*y) + (g1*g2*t^8.97)/(g3^2*y) + (g1*g2^4*t^8.98)/(g3^5*y) + (3*g3^3*t^8.99)/(g2^3*y) - (t^4.06*y)/(g2*g3) - (g1*t^6.13*y)/(g2^5*g3^2) - (t^6.16*y)/g2^6 - (t^6.18*y)/g3^6 + (g1*t^7.18*y)/g2^9 + (g1*t^7.2*y)/(g2^3*g3^6) + (t^7.23*y)/(g2^4*g3^4) + (g1*g3^2*t^7.9*y)/g2 + (2*g3^4*t^7.93*y)/g2^2 + (2*g2^4*t^7.95*y)/g3^2 + (g2^3*t^7.98*y)/g1 - (g1^2*t^8.2*y)/(g2^9*g3^3) - (g1*t^8.23*y)/(g2^10*g3) - (g1*t^8.25*y)/(g2^4*g3^7) - (g3*t^8.26*y)/g2^11 - (t^8.28*y)/(g2^5*g3^5) - (g2*t^8.3*y)/g3^11 + (g1^2*g3^2*t^8.92*y)/g2^4 + (g1^2*t^8.93*y)/(g2*g3) + (g1*g3^4*t^8.95*y)/g2^5 + (3*g1*g3*t^8.96*y)/g2^2 + (g1*g2*t^8.97*y)/g3^2 + (g1*g2^4*t^8.98*y)/g3^5 + (3*g3^3*t^8.99*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 282 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.5924 | 0.7275 | 0.8144 | [X:[], M:[1.0, 1.2265, 0.7021, 0.845], q:[0.6159, 0.9974], qb:[0.3841, 0.4556], phi:[0.3868]] | t^2.11 + t^2.52 + t^2.53 + t^3. + t^3.21 + 2*t^3.68 + t^4.14 + t^4.21 + t^4.36 + t^4.63 + t^4.64 + t^4.84 + t^5.04 + t^5.05 + t^5.07 + t^5.11 + t^5.52 + t^5.73 + t^5.75 + t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 285 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3M_5$ | 0.6284 | 0.7608 | 0.826 | [X:[], M:[0.692, 1.2853, 0.7375, 0.692, 1.2625], q:[0.8327, 0.81], qb:[0.4753, 0.4526], phi:[0.3574]] | 2*t^2.08 + t^2.78 + 2*t^3.79 + 4*t^3.86 + 3*t^4.15 + 2*t^4.86 + t^4.93 + t^5.57 + 4*t^5.86 + 6*t^5.93 - 5*t^6. - t^4.07/y - t^4.07*y | detail | |
| 1725 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6484 | 0.7956 | 0.815 | [X:[], M:[0.6992, 1.297, 0.6992, 0.7069], q:[0.83, 0.8185], qb:[0.4708, 0.4746], phi:[0.3515]] | 2*t^2.1 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + 2*t^3.89 + t^3.91 + 3*t^4.2 + 2*t^4.22 + t^4.24 + 2*t^4.93 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.97 + t^5.98 + 3*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 114 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]] | 2*t^2.1 + t^2.8 + t^3.81 + 2*t^3.84 + 2*t^3.87 + t^3.93 + 3*t^4.21 + 2*t^4.9 + t^4.93 + t^5.6 + 2*t^5.91 + 3*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.07/y - t^4.07*y | detail |