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 |
|---|---|---|---|---|---|---|---|---|---|
| 46298 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6335 | 0.821 | 0.7716 | [X:[], M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]] | [X:[], M:[[0, 0], [-8, -8], [-5, 3], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_4q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$ | . | -5 | 2*t^2.2 + 2*t^2.39 + t^2.61 + 2*t^2.81 + t^3. + 2*t^3.99 + 3*t^4.4 + 4*t^4.6 + 6*t^4.79 + 2*t^4.82 + 4*t^5.01 + 6*t^5.2 + t^5.23 + 2*t^5.39 + 2*t^5.42 + 4*t^5.61 + t^5.81 - 5*t^6. + 3*t^6.19 + 3*t^6.39 - 2*t^6.41 + 4*t^6.61 + 6*t^6.8 + 10*t^6.99 + 3*t^7.02 + 8*t^7.18 + 6*t^7.21 + 9*t^7.4 + 2*t^7.43 + 11*t^7.6 + 4*t^7.62 + 2*t^7.79 + 8*t^7.82 + t^7.84 + 8*t^8.01 + 2*t^8.04 - 8*t^8.2 + 4*t^8.23 - 8*t^8.39 + 5*t^8.42 - 5*t^8.61 + 8*t^8.78 - 7*t^8.81 - t^4.4/y - (2*t^6.61)/y - t^7.02/y - t^7.21/y + t^7.4/y + (5*t^7.6)/y + (2*t^7.79)/y + (2*t^7.82)/y + (6*t^8.01)/y + (8*t^8.2)/y + (2*t^8.39)/y + (2*t^8.42)/y + (2*t^8.61)/y - t^8.81/y - t^4.4*y - 2*t^6.61*y - t^7.02*y - t^7.21*y + t^7.4*y + 5*t^7.6*y + 2*t^7.79*y + 2*t^7.82*y + 6*t^8.01*y + 8*t^8.2*y + 2*t^8.39*y + 2*t^8.42*y + 2*t^8.61*y - t^8.81*y | (g1^3*t^2.2)/g2^5 + (g2^3*t^2.2)/g1^5 + (g1^7*t^2.39)/g2 + (g2^7*t^2.39)/g1 + t^2.61/(g1^8*g2^8) + (2*t^2.81)/(g1^4*g2^4) + t^3. + g1^9*g2*t^3.99 + g1*g2^9*t^3.99 + (g1^6*t^4.4)/g2^10 + t^4.4/(g1^2*g2^2) + (g2^6*t^4.4)/g1^10 + (g1^10*t^4.6)/g2^6 + 2*g1^2*g2^2*t^4.6 + (g2^10*t^4.6)/g1^6 + (2*g1^14*t^4.79)/g2^2 + 2*g1^6*g2^6*t^4.79 + (2*g2^14*t^4.79)/g1^2 + t^4.82/(g1^5*g2^13) + t^4.82/(g1^13*g2^5) + (2*t^5.01)/(g1*g2^9) + (2*t^5.01)/(g1^9*g2) + (3*g1^3*t^5.2)/g2^5 + (3*g2^3*t^5.2)/g1^5 + t^5.23/(g1^16*g2^16) + (g1^7*t^5.39)/g2 + (g2^7*t^5.39)/g1 + (2*t^5.42)/(g1^12*g2^12) + (4*t^5.61)/(g1^8*g2^8) + t^5.81/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.19)/g2^4 + g1^4*g2^4*t^6.19 + (g2^12*t^6.19)/g1^4 + g1^16*t^6.39 + g1^8*g2^8*t^6.39 + g2^16*t^6.39 - t^6.41/(g1^3*g2^11) - t^6.41/(g1^11*g2^3) + (g1^9*t^6.61)/g2^15 + (g1*t^6.61)/g2^7 + (g2*t^6.61)/g1^7 + (g2^9*t^6.61)/g1^15 + (g1^13*t^6.8)/g2^11 + (2*g1^5*t^6.8)/g2^3 + (2*g2^5*t^6.8)/g1^3 + (g2^13*t^6.8)/g1^11 + (2*g1^17*t^6.99)/g2^7 + 3*g1^9*g2*t^6.99 + 3*g1*g2^9*t^6.99 + (2*g2^17*t^6.99)/g1^7 + t^7.02/(g1^2*g2^18) + t^7.02/(g1^10*g2^10) + t^7.02/(g1^18*g2^2) + (2*g1^21*t^7.18)/g2^3 + 2*g1^13*g2^5*t^7.18 + 2*g1^5*g2^13*t^7.18 + (2*g2^21*t^7.18)/g1^3 + (2*g1^2*t^7.21)/g2^14 + (2*t^7.21)/(g1^6*g2^6) + (2*g2^2*t^7.21)/g1^14 + (3*g1^6*t^7.4)/g2^10 + (3*t^7.4)/(g1^2*g2^2) + (3*g2^6*t^7.4)/g1^10 + t^7.43/(g1^13*g2^21) + t^7.43/(g1^21*g2^13) + (4*g1^10*t^7.6)/g2^6 + 3*g1^2*g2^2*t^7.6 + (4*g2^10*t^7.6)/g1^6 + (2*t^7.62)/(g1^9*g2^17) + (2*t^7.62)/(g1^17*g2^9) + (g1^14*t^7.79)/g2^2 + (g2^14*t^7.79)/g1^2 + (4*t^7.82)/(g1^5*g2^13) + (4*t^7.82)/(g1^13*g2^5) + t^7.84/(g1^24*g2^24) + (4*t^8.01)/(g1*g2^9) + (4*t^8.01)/(g1^9*g2) + (2*t^8.04)/(g1^20*g2^20) - (g1^11*t^8.2)/g2^13 - (3*g1^3*t^8.2)/g2^5 - (3*g2^3*t^8.2)/g1^5 - (g2^11*t^8.2)/g1^13 + (4*t^8.23)/(g1^16*g2^16) - (4*g1^7*t^8.39)/g2 - (4*g2^7*t^8.39)/g1 + (5*t^8.42)/(g1^12*g2^12) + (g1^19*t^8.59)/g2^5 - g1^11*g2^3*t^8.59 - g1^3*g2^11*t^8.59 + (g2^19*t^8.59)/g1^5 - t^8.61/g1^16 - t^8.61/g2^16 - (3*t^8.61)/(g1^8*g2^8) + (2*g1^23*t^8.78)/g2 + 2*g1^15*g2^7*t^8.78 + 2*g1^7*g2^15*t^8.78 + (2*g2^23*t^8.78)/g1 + (g1^12*t^8.81)/g2^20 - (g1^4*t^8.81)/g2^12 - (7*t^8.81)/(g1^4*g2^4) - (g2^4*t^8.81)/g1^12 + (g2^12*t^8.81)/g1^20 - t^4.4/(g1^2*g2^2*y) - (g1*t^6.61)/(g2^7*y) - (g2*t^6.61)/(g1^7*y) - t^7.02/(g1^10*g2^10*y) - t^7.21/(g1^6*g2^6*y) + t^7.4/(g1^2*g2^2*y) + (g1^10*t^7.6)/(g2^6*y) + (3*g1^2*g2^2*t^7.6)/y + (g2^10*t^7.6)/(g1^6*y) + (2*g1^6*g2^6*t^7.79)/y + t^7.82/(g1^5*g2^13*y) + t^7.82/(g1^13*g2^5*y) + (3*t^8.01)/(g1*g2^9*y) + (3*t^8.01)/(g1^9*g2*y) + (4*g1^3*t^8.2)/(g2^5*y) + (4*g2^3*t^8.2)/(g1^5*y) + (g1^7*t^8.39)/(g2*y) + (g2^7*t^8.39)/(g1*y) + (2*t^8.42)/(g1^12*g2^12*y) + (2*t^8.61)/(g1^8*g2^8*y) - (g1^4*t^8.81)/(g2^12*y) + t^8.81/(g1^4*g2^4*y) - (g2^4*t^8.81)/(g1^12*y) - (t^4.4*y)/(g1^2*g2^2) - (g1*t^6.61*y)/g2^7 - (g2*t^6.61*y)/g1^7 - (t^7.02*y)/(g1^10*g2^10) - (t^7.21*y)/(g1^6*g2^6) + (t^7.4*y)/(g1^2*g2^2) + (g1^10*t^7.6*y)/g2^6 + 3*g1^2*g2^2*t^7.6*y + (g2^10*t^7.6*y)/g1^6 + 2*g1^6*g2^6*t^7.79*y + (t^7.82*y)/(g1^5*g2^13) + (t^7.82*y)/(g1^13*g2^5) + (3*t^8.01*y)/(g1*g2^9) + (3*t^8.01*y)/(g1^9*g2) + (4*g1^3*t^8.2*y)/g2^5 + (4*g2^3*t^8.2*y)/g1^5 + (g1^7*t^8.39*y)/g2 + (g2^7*t^8.39*y)/g1 + (2*t^8.42*y)/(g1^12*g2^12) + (2*t^8.61*y)/(g1^8*g2^8) - (g1^4*t^8.81*y)/g2^12 + (t^8.81*y)/(g1^4*g2^4) - (g2^4*t^8.81*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46535 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6253 | 0.8097 | 0.7722 | [X:[], M:[1.0, 0.9511, 0.7439, 0.7439, 1.0489], q:[0.7561, 0.2439], qb:[0.5244, 0.5244], phi:[0.4878]] | 2*t^2.23 + 2*t^2.3 + 2*t^2.93 + t^3. + t^3.15 + 2*t^3.84 + 3*t^4.46 + 4*t^4.54 + 6*t^4.61 + 2*t^5.16 + 6*t^5.23 + 2*t^5.3 + 2*t^5.38 + 2*t^5.45 + 3*t^5.85 + t^5.93 - 5*t^6. - t^4.46/y - t^4.46*y | detail | |
| 46359 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6284 | 0.8132 | 0.7728 | [X:[], M:[1.0, 0.9108, 0.7388, 0.7388, 1.0446], q:[0.7612, 0.2388], qb:[0.5446, 0.5446], phi:[0.4777]] | 2*t^2.22 + 2*t^2.35 + t^2.73 + t^2.87 + t^3. + t^3.13 + 2*t^3.92 + 3*t^4.43 + 4*t^4.57 + 6*t^4.7 + 2*t^4.95 + 2*t^5.08 + 4*t^5.22 + 4*t^5.35 + t^5.46 + 2*t^5.48 + t^5.6 + 2*t^5.73 + t^5.87 - 4*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46049 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.614 | 0.7856 | 0.7817 | [X:[], M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]] | t^2.17 + t^2.36 + t^2.42 + t^2.63 + 2*t^2.81 + t^3. + t^3.77 + t^3.95 + t^4.01 + t^4.35 + t^4.53 + t^4.59 + 2*t^4.72 + 2*t^4.78 + t^4.8 + 2*t^4.84 + 2*t^4.99 + 3*t^5.17 + 2*t^5.23 + t^5.25 + t^5.36 + t^5.42 + 2*t^5.44 + 4*t^5.63 + t^5.81 - 3*t^6. - t^4.41/y - t^4.41*y | detail |