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 |
|---|---|---|---|---|---|---|---|---|---|
| 46946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7089 | 0.895 | 0.7921 | [X:[], M:[0.9777, 0.9907, 1.1181, 0.6772, 0.7731, 0.6902], q:[0.5749, 0.4474], qb:[0.4345, 0.7795], phi:[0.4409]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [1, 3], [-2, 2]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_4M_6$, $ M_6^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_1M_6$, $ M_2M_6$, $ M_1M_5$, $ M_2M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_6$, $ M_3M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$ | . | -2 | t^2.03 + t^2.07 + t^2.32 + t^2.65 + t^2.93 + t^2.97 + t^3.35 + t^3.64 + t^4.01 + 2*t^4.06 + t^4.1 + t^4.14 + 2*t^4.35 + 2*t^4.39 + t^4.64 + t^4.68 + t^4.72 + t^4.77 + 2*t^4.96 + 2*t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.39 + t^5.42 + 2*t^5.67 + t^5.71 + t^5.87 + t^5.91 + t^5.94 - 2*t^6. + t^6.08 + 2*t^6.09 + 2*t^6.13 + t^6.17 + t^6.21 + t^6.29 + t^6.33 + 2*t^6.38 + 2*t^6.42 + 2*t^6.46 + t^6.58 + t^6.65 + 2*t^6.67 + 3*t^6.71 + t^6.75 + t^6.79 + t^6.8 + t^6.84 - t^6.9 + t^6.96 + t^6.98 + 3*t^7. + 3*t^7.04 + 2*t^7.07 + t^7.09 + t^7.11 + 2*t^7.28 + 2*t^7.32 + 2*t^7.36 + 2*t^7.42 + t^7.46 + t^7.5 + t^7.57 + t^7.61 + 3*t^7.71 + 2*t^7.74 + t^7.78 + t^7.9 + 2*t^7.94 + 2*t^7.98 + t^7.99 + 2*t^8.01 - 3*t^8.03 - 2*t^8.07 + 3*t^8.13 + t^8.15 + 2*t^8.17 + t^8.19 + 2*t^8.2 + t^8.22 + t^8.24 + t^8.26 + t^8.28 - 3*t^8.32 + 2*t^8.4 + 3*t^8.41 + 2*t^8.45 + 2*t^8.49 + 2*t^8.53 + t^8.61 + 2*t^8.7 + t^8.72 + 2*t^8.74 + 4*t^8.78 + t^8.8 + t^8.82 + 3*t^8.84 + t^8.86 + t^8.87 + t^8.88 + t^8.91 + t^8.92 - 4*t^8.93 - 4*t^8.97 + 2*t^8.99 - t^4.32/y - t^6.35/y - t^6.39/y - t^6.64/y + t^7.1/y - t^7.26/y - t^7.29/y + (2*t^7.35)/y + (2*t^7.39)/y + t^7.68/y + t^7.72/y + (2*t^7.96)/y + (3*t^8.)/y + t^8.04/y + (2*t^8.25)/y + (2*t^8.29)/y - t^8.46/y + t^8.58/y + t^8.62/y + t^8.67/y + t^8.91/y - t^4.32*y - t^6.35*y - t^6.39*y - t^6.64*y + t^7.1*y - t^7.26*y - t^7.29*y + 2*t^7.35*y + 2*t^7.39*y + t^7.68*y + t^7.72*y + 2*t^7.96*y + 3*t^8.*y + t^8.04*y + 2*t^8.25*y + 2*t^8.29*y - t^8.46*y + t^8.58*y + t^8.62*y + t^8.67*y + t^8.91*y | g2^6*t^2.03 + (g2^2*t^2.07)/g1^2 + g1*g2^3*t^2.32 + t^2.65/g2^4 + (g1*t^2.93)/g2^7 + t^2.97/(g1*g2^11) + g2^4*t^3.35 + g1*g2*t^3.64 + t^4.01/(g1^2*g2^10) + 2*g2^12*t^4.06 + (g2^8*t^4.1)/g1^2 + (g2^4*t^4.14)/g1^4 + 2*g1*g2^9*t^4.35 + (2*g2^5*t^4.39)/g1 + g1^2*g2^6*t^4.64 + g2^2*t^4.68 + t^4.72/(g1^2*g2^2) + g2^20*t^4.77 + (2*g1*t^4.96)/g2 + (2*t^5.)/(g1*g2^5) + t^5.04/(g1^3*g2^9) + (g1^2*t^5.25)/g2^4 + (2*t^5.29)/g2^8 + g2^10*t^5.39 + (g2^6*t^5.42)/g1^2 + 2*g1*g2^7*t^5.67 + (g2^3*t^5.71)/g1 + (g1^2*t^5.87)/g2^14 + t^5.91/g2^18 + t^5.94/(g1^2*g2^22) - 2*t^6. + t^6.08/(g1^4*g2^8) + 2*g2^18*t^6.09 + (2*g2^14*t^6.13)/g1^2 + (g2^10*t^6.17)/g1^4 + (g2^6*t^6.21)/g1^6 + (g1*t^6.29)/g2^3 + t^6.33/(g1*g2^7) + 2*g1*g2^15*t^6.38 + (2*g2^11*t^6.42)/g1 + (2*g2^7*t^6.46)/g1^3 + (g1^2*t^6.58)/g2^6 + t^6.65/(g1^2*g2^14) + 2*g1^2*g2^12*t^6.67 + 3*g2^8*t^6.71 + (g2^4*t^6.75)/g1^2 + t^6.79/g1^4 + g2^26*t^6.8 + (g2^22*t^6.84)/g1^2 - (g1*t^6.9)/g2^13 + g1^3*g2^9*t^6.96 + t^6.98/(g1^3*g2^21) + 3*g1*g2^5*t^7. + (3*g2*t^7.04)/g1 + (2*t^7.07)/(g1^3*g2^3) + g1*g2^23*t^7.09 + t^7.11/(g1^5*g2^7) + 2*g1^2*g2^2*t^7.28 + (2*t^7.32)/g2^2 + (2*t^7.36)/(g1^2*g2^6) + 2*g2^16*t^7.42 + (g2^12*t^7.46)/g1^2 + (g2^8*t^7.5)/g1^4 + (g1^3*t^7.57)/g2 + (g1*t^7.61)/g2^5 + 3*g1*g2^13*t^7.71 + (2*g2^9*t^7.74)/g1 + (g2^5*t^7.78)/g1^3 + (g1^2*t^7.9)/g2^8 + (2*t^7.94)/g2^12 + (2*t^7.98)/(g1^2*g2^16) + g1^2*g2^10*t^7.99 + (2*t^8.01)/(g1^4*g2^20) - 3*g2^6*t^8.03 - (2*g2^2*t^8.07)/g1^2 + 3*g2^24*t^8.13 + t^8.15/(g1^6*g2^6) + (2*g2^20*t^8.17)/g1^2 + (g1^3*t^8.19)/g2^11 + (2*g2^16*t^8.2)/g1^4 + (g1*t^8.22)/g2^15 + (g2^12*t^8.24)/g1^6 + t^8.26/(g1*g2^19) + (g2^8*t^8.28)/g1^8 - 3*g1*g2^3*t^8.32 + (2*t^8.4)/(g1^3*g2^5) + 3*g1*g2^21*t^8.41 + (2*g2^17*t^8.45)/g1 + (2*g2^13*t^8.49)/g1^3 + (2*g2^9*t^8.53)/g1^5 + g1^2*t^8.61 + 2*g1^2*g2^18*t^8.7 + t^8.72/(g1^4*g2^12) + 2*g2^14*t^8.74 + (4*g2^10*t^8.78)/g1^2 + (g1^3*t^8.8)/g2^21 + (g2^6*t^8.82)/g1^4 + (g1*t^8.84)/g2^25 + 2*g2^32*t^8.84 + (g2^2*t^8.86)/g1^6 + (g2^28*t^8.87)/g1^2 + t^8.88/(g1*g2^29) + (g2^24*t^8.91)/g1^4 + t^8.92/(g1^3*g2^33) - (4*g1*t^8.93)/g2^7 - (4*t^8.97)/(g1*g2^11) + 2*g1^3*g2^15*t^8.99 - t^4.32/(g2^2*y) - (g2^4*t^6.35)/y - t^6.39/(g1^2*y) - (g1*g2*t^6.64)/y + (g2^8*t^7.1)/(g1^2*y) - (g1*t^7.26)/(g2^9*y) - t^7.29/(g1*g2^13*y) + (2*g1*g2^9*t^7.35)/y + (2*g2^5*t^7.39)/(g1*y) + (g2^2*t^7.68)/y + t^7.72/(g1^2*g2^2*y) + (2*g1*t^7.96)/(g2*y) + (3*t^8.)/(g1*g2^5*y) + t^8.04/(g1^3*g2^9*y) + (2*g1^2*t^8.25)/(g2^4*y) + (2*t^8.29)/(g2^8*y) - (g2^2*t^8.46)/(g1^4*y) + (g1*t^8.58)/(g2^11*y) + t^8.62/(g1*g2^15*y) + (g1*g2^7*t^8.67)/y + t^8.91/(g2^18*y) - (t^4.32*y)/g2^2 - g2^4*t^6.35*y - (t^6.39*y)/g1^2 - g1*g2*t^6.64*y + (g2^8*t^7.1*y)/g1^2 - (g1*t^7.26*y)/g2^9 - (t^7.29*y)/(g1*g2^13) + 2*g1*g2^9*t^7.35*y + (2*g2^5*t^7.39*y)/g1 + g2^2*t^7.68*y + (t^7.72*y)/(g1^2*g2^2) + (2*g1*t^7.96*y)/g2 + (3*t^8.*y)/(g1*g2^5) + (t^8.04*y)/(g1^3*g2^9) + (2*g1^2*t^8.25*y)/g2^4 + (2*t^8.29*y)/g2^8 - (g2^2*t^8.46*y)/g1^4 + (g1*t^8.58*y)/g2^11 + (t^8.62*y)/(g1*g2^15) + g1*g2^7*t^8.67*y + (t^8.91*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 50863 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2^2$ | 0.7088 | 0.8951 | 0.7919 | [X:[], M:[0.9806, 1.0, 1.1154, 0.6731, 0.7692, 0.6925], q:[0.5674, 0.452], qb:[0.4326, 0.7789], phi:[0.4423]] | t^2.02 + t^2.08 + t^2.31 + t^2.65 + t^2.94 + t^3. + t^3.35 + t^3.63 + 3*t^4.04 + t^4.1 + t^4.16 + 2*t^4.33 + 2*t^4.39 + t^4.61 + t^4.67 + 2*t^4.73 + 2*t^4.96 + 2*t^5.02 + t^5.08 + t^5.25 + 2*t^5.31 + t^5.37 + t^5.42 + 2*t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 55087 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7264 | 0.927 | 0.7837 | [X:[], M:[0.986, 0.9825, 1.1181, 0.6772, 0.7813, 0.6737, 0.7778], q:[0.5748, 0.4392], qb:[0.4427, 0.7795], phi:[0.4409]] | t^2.02 + t^2.03 + t^2.33 + t^2.34 + t^2.65 + t^2.95 + t^2.96 + t^3.35 + t^3.96 + t^4.04 + t^4.05 + 2*t^4.06 + t^4.35 + 3*t^4.36 + 2*t^4.38 + 2*t^4.67 + 2*t^4.68 + t^4.69 + t^4.77 + t^4.97 + 3*t^4.98 + 2*t^4.99 + t^5.28 + 3*t^5.29 + t^5.3 + t^5.38 + t^5.39 + t^5.69 + t^5.7 + t^5.9 + t^5.91 + t^5.92 + t^5.98 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 50970 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ | 0.6633 | 0.8389 | 0.7907 | [X:[], M:[0.8093, 0.7907, 1.2, 0.8, 0.8093, 0.7814], q:[0.8, 0.3907], qb:[0.4093, 0.8], phi:[0.4]] | t^2.34 + t^2.37 + 2*t^2.4 + 2*t^2.43 + t^3.54 + t^3.6 + t^3.63 + t^4.69 + t^4.72 + 3*t^4.74 + 4*t^4.77 + 6*t^4.8 + 4*t^4.83 + 3*t^4.86 + t^5.89 + t^5.92 + 2*t^5.94 + 2*t^5.97 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46667 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ | 0.6883 | 0.8554 | 0.8047 | [X:[], M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]] | t^2.04 + t^2.3 + t^2.64 + t^2.91 + t^2.98 + t^3.36 + t^3.62 + t^3.89 + t^4.04 + 2*t^4.08 + 2*t^4.34 + t^4.42 + t^4.6 + t^4.68 + t^4.79 + 2*t^4.94 + t^5.02 + t^5.21 + 2*t^5.28 + t^5.4 + 2*t^5.66 + t^5.81 + t^5.89 + t^5.92 + t^5.96 - 2*t^6. - t^4.32/y - t^4.32*y | detail |