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 |
|---|---|---|---|---|---|---|---|---|---|
| 45852 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | [X:[], M:[[0, -2, -2], [-1, -3, 0]], 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 |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1q_1\tilde{q}_2$, $ M_1q_1\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | . | -3 | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. + 2*t^6.02 - t^6.04 + t^6.21 + 2*t^6.25 + 3*t^6.3 + 4*t^6.34 + t^6.67 + 2*t^6.7 + 2*t^6.74 + t^6.97 + 2*t^7.01 - 2*t^7.04 + 3*t^7.06 - 2*t^7.08 - t^7.1 + t^7.69 + 2*t^7.71 + 3*t^7.73 + 4*t^7.77 - 2*t^7.8 + 2*t^7.82 + t^7.98 + 2*t^8.01 + t^8.03 + 4*t^8.05 - 2*t^8.07 + 4*t^8.09 - 6*t^8.11 + 2*t^8.13 - 2*t^8.16 + t^8.28 + 2*t^8.32 + 3*t^8.37 + 4*t^8.41 + 5*t^8.45 + t^8.49 + t^8.74 + 2*t^8.77 + t^8.79 + 4*t^8.81 - 5*t^8.83 + 2*t^8.85 - 2*t^8.87 - t^4.06/y - t^6.13/y - (2*t^6.17)/y + (2*t^7.18)/y + t^7.23/y + t^7.9/y + (4*t^7.94)/y + t^7.99/y - t^8.2/y - (2*t^8.24)/y - (3*t^8.28)/y + t^8.91/y + (2*t^8.94)/y + (2*t^8.96)/y + (6*t^8.98)/y - t^4.06*y - t^6.13*y - 2*t^6.17*y + 2*t^7.18*y + t^7.23*y + t^7.9*y + 4*t^7.94*y + t^7.99*y - t^8.2*y - 2*t^8.24*y - 3*t^8.28*y + t^8.91*y + 2*t^8.94*y + 2*t^8.96*y + 6*t^8.98*y | t^2.07/(g1*g2^3) + (2*t^2.11)/(g2^2*g3^2) + g2^3*g3^3*t^2.83 + (g2*g3^4*t^3.84)/g1 + (g2^4*g3*t^3.87)/g1 + (g3^5*t^3.87)/g2 + (g2^5*t^3.91)/g3 + g1*g3^3*t^3.91 + t^4.14/(g1^2*g2^6) + (2*t^4.18)/(g1*g2^5*g3^2) + (3*t^4.23)/(g2^4*g3^4) + (g3^3*t^4.9)/g1 + 3*g2*g3*t^4.94 + g2^6*g3^6*t^5.66 + (g3^4*t^5.91)/(g1^2*g2^2) + (g2*g3*t^5.94)/g1^2 + (g3^5*t^5.94)/(g1*g2^4) + (g3^2*t^5.96)/(g1*g2) + (2*g2^2*t^5.98)/(g1*g3) + (2*g3^3*t^5.98)/g2^3 - 3*t^6. + (g2^3*t^6.02)/g3^3 + (g1*g3*t^6.02)/g2^2 - (g1*g2*t^6.04)/g3^2 + t^6.21/(g1^3*g2^9) + (2*t^6.25)/(g1^2*g2^8*g3^2) + (3*t^6.3)/(g1*g2^7*g3^4) + (4*t^6.34)/(g2^6*g3^6) + (g2^4*g3^7*t^6.67)/g1 + (g2^7*g3^4*t^6.7)/g1 + g2^2*g3^8*t^6.7 + g2^8*g3^2*t^6.74 + g1*g2^3*g3^6*t^6.74 + (g3^3*t^6.97)/(g1^2*g2^3) + (2*g3*t^7.01)/(g1*g2^2) - (g2*t^7.04)/(g1*g3^2) - (g3^2*t^7.04)/g2^4 + (3*t^7.06)/(g2*g3) - (g1*t^7.08)/g2^3 - (g2^2*t^7.08)/g3^4 - (g1*t^7.1)/g3^3 + (g2^2*g3^8*t^7.69)/g1^2 + (g2^5*g3^5*t^7.71)/g1^2 + (g3^9*t^7.71)/g1 + (g2^8*g3^2*t^7.73)/g1^2 + (g2^3*g3^6*t^7.73)/g1 + (g3^10*t^7.73)/g2^2 + (g2^9*t^7.77)/g1 + 2*g2^4*g3^4*t^7.77 + (g1*g3^8*t^7.77)/g2 - g2^7*g3*t^7.8 - g1*g2^2*g3^5*t^7.8 + (g2^10*t^7.82)/g3^2 + g1^2*g3^6*t^7.82 + (g3^4*t^7.98)/(g1^3*g2^5) + (g3*t^8.01)/(g1^3*g2^2) + (g3^5*t^8.01)/(g1^2*g2^7) + (g3^2*t^8.03)/(g1^2*g2^4) + (2*t^8.05)/(g1^2*g2*g3) + (2*g3^3*t^8.05)/(g1*g2^6) - (2*t^8.07)/(g1*g2^3) + (2*t^8.09)/(g1*g3^3) + (2*g3*t^8.09)/g2^5 - (6*t^8.11)/(g2^2*g3^2) + (g2*t^8.13)/g3^5 + (g1*t^8.13)/(g2^4*g3) - (2*g1*t^8.16)/(g2*g3^4) + t^8.28/(g1^4*g2^12) + (2*t^8.32)/(g1^3*g2^11*g3^2) + (3*t^8.37)/(g1^2*g2^10*g3^4) + (4*t^8.41)/(g1*g2^9*g3^6) + (5*t^8.45)/(g2^8*g3^8) + g2^9*g3^9*t^8.49 + (g2*g3^7*t^8.74)/g1^2 + (g2^4*g3^4*t^8.77)/g1^2 + (g3^8*t^8.77)/(g1*g2) + (g2^2*g3^5*t^8.79)/g1 + (2*g2^5*g3^2*t^8.81)/g1 + 2*g3^6*t^8.81 - 5*g2^3*g3^3*t^8.83 + g2^6*t^8.85 + g1*g2*g3^4*t^8.85 - 2*g1*g2^4*g3*t^8.87 - t^4.06/(g2*g3*y) - t^6.13/(g1*g2^4*g3*y) - (2*t^6.17)/(g2^3*g3^3*y) + (2*t^7.18)/(g1*g2^5*g3^2*y) + t^7.23/(g2^4*g3^4*y) + (g3^3*t^7.9)/(g1*y) + (4*g2*g3*t^7.94)/y + (g1*g2^2*t^7.99)/(g3*y) - t^8.2/(g1^2*g2^7*g3*y) - (2*t^8.24)/(g1*g2^6*g3^3*y) - (3*t^8.28)/(g2^5*g3^5*y) + (g3^4*t^8.91)/(g1^2*g2^2*y) + (g2*g3*t^8.94)/(g1^2*y) + (g3^5*t^8.94)/(g1*g2^4*y) + (2*g3^2*t^8.96)/(g1*g2*y) + (3*g2^2*t^8.98)/(g1*g3*y) + (3*g3^3*t^8.98)/(g2^3*y) - (t^4.06*y)/(g2*g3) - (t^6.13*y)/(g1*g2^4*g3) - (2*t^6.17*y)/(g2^3*g3^3) + (2*t^7.18*y)/(g1*g2^5*g3^2) + (t^7.23*y)/(g2^4*g3^4) + (g3^3*t^7.9*y)/g1 + 4*g2*g3*t^7.94*y + (g1*g2^2*t^7.99*y)/g3 - (t^8.2*y)/(g1^2*g2^7*g3) - (2*t^8.24*y)/(g1*g2^6*g3^3) - (3*t^8.28*y)/(g2^5*g3^5) + (g3^4*t^8.91*y)/(g1^2*g2^2) + (g2*g3*t^8.94*y)/g1^2 + (g3^5*t^8.94*y)/(g1*g2^4) + (2*g3^2*t^8.96*y)/(g1*g2) + (3*g2^2*t^8.98*y)/(g1*g3) + (3*g3^3*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 45914 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail | |
| 45885 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.6484 | 0.7957 | 0.8149 | [X:[], M:[0.7032, 0.6984], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | t^2.1 + 2*t^2.11 + t^2.84 + t^3.86 + 2*t^3.88 + t^3.9 + t^3.92 + t^4.19 + 2*t^4.2 + 3*t^4.22 + t^4.93 + 3*t^4.95 + t^5.67 + t^5.96 + 3*t^5.97 + 2*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail | |
| 45922 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2^2$ | 0.5957 | 0.7299 | 0.8162 | [X:[], M:[0.7645, 1.0], q:[0.9855, 0.6323], qb:[0.3677, 0.4855], phi:[0.3823]] | 2*t^2.29 + t^2.56 + t^3. + 2*t^3.35 + 2*t^4.06 + t^4.41 + 3*t^4.59 + 3*t^4.85 + t^5.12 + t^5.29 + t^5.56 + 2*t^5.65 + 2*t^5.91 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 45900 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ | 0.669 | 0.8356 | 0.8006 | [X:[], M:[0.7, 0.6922, 0.6922], q:[0.825, 0.825], qb:[0.4828, 0.4672], phi:[0.35]] | 2*t^2.08 + 2*t^2.1 + t^2.85 + t^3.85 + 2*t^3.88 + t^3.95 + 3*t^4.15 + 4*t^4.18 + 3*t^4.2 + 2*t^4.93 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.95 + 2*t^5.98 - 3*t^6. - t^4.05/y - t^4.05*y | detail | |
| 45880 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.6689 | 0.8346 | 0.8015 | [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*y | detail | |
| 45899 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.6692 | 0.8369 | 0.7996 | [X:[], M:[0.7022, 0.6851, 0.6851], q:[0.8074, 0.8415], qb:[0.4734, 0.4734], phi:[0.3511]] | 2*t^2.06 + 2*t^2.11 + t^2.84 + 2*t^3.84 + 2*t^3.89 + 3*t^4.11 + 4*t^4.16 + 3*t^4.21 + 2*t^4.9 + 3*t^4.95 + t^5.68 + 4*t^5.9 + 6*t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 50 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6279 | 0.7568 | 0.8297 | [X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. - t^4.06/y - t^4.06*y | detail |