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 |
|---|---|---|---|---|---|---|---|---|---|
| 1418 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.7543 | 0.9473 | 0.7962 | [X:[], M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0], [4, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_4M_6$, $ M_1M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_7^2$, $ M_4^2$, $ M_4M_7$, $ M_1M_7$, $ M_1^2$, $ M_5M_6$, $ M_2M_6$, $ M_3M_6$, $ M_7\phi_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_4M_5$, $ M_2M_7$, $ M_1M_5$, $ M_3M_7$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$ | -4 | t^2.16 + 3*t^2.47 + t^2.74 + 3*t^3. + t^4.32 + 3*t^4.37 + 3*t^4.63 + 7*t^4.9 + 6*t^4.94 + 3*t^5.16 + 3*t^5.21 + 7*t^5.47 + 3*t^5.74 - 4*t^6. + t^6.49 - t^6.53 + 3*t^6.79 + 6*t^6.84 + 7*t^7.06 + 8*t^7.1 + 3*t^7.32 + 18*t^7.37 + 10*t^7.41 + 10*t^7.63 + 6*t^7.68 + 9*t^7.9 + 12*t^7.94 - 10*t^8.16 + 7*t^8.21 - 3*t^8.43 - 12*t^8.47 + t^8.65 - t^8.69 - 4*t^8.74 + 3*t^8.96 - t^4.37/y - t^6.53/y - (3*t^6.84)/y - t^7.1/y + (4*t^7.63)/y + (4*t^7.9)/y + (3*t^7.94)/y + (3*t^8.16)/y + (4*t^8.21)/y + (9*t^8.47)/y - t^8.69/y + (3*t^8.74)/y - t^4.37*y - t^6.53*y - 3*t^6.84*y - t^7.1*y + 4*t^7.63*y + 4*t^7.9*y + 3*t^7.94*y + 3*t^8.16*y + 4*t^8.21*y + 9*t^8.47*y - t^8.69*y + 3*t^8.74*y | t^2.16/g1^5 + g1^4*t^2.47 + (g1^2*t^2.47)/g2 + g1^6*g2*t^2.47 + g1^2*t^2.74 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^4.32/g1^10 + g1*t^4.37 + t^4.37/(g1*g2) + g1^3*g2*t^4.37 + t^4.63/g1 + t^4.63/(g1^3*g2) + g1*g2*t^4.63 + (3*t^4.9)/g1^3 + t^4.9/(g1^7*g2^2) + t^4.9/(g1^5*g2) + (g2*t^4.9)/g1 + g1*g2^2*t^4.9 + 2*g1^8*t^4.94 + (g1^4*t^4.94)/g2^2 + (g1^6*t^4.94)/g2 + g1^10*g2*t^4.94 + g1^12*g2^2*t^4.94 + t^5.16/g1^5 + t^5.16/(g1^7*g2) + (g2*t^5.16)/g1^3 + g1^6*t^5.21 + (g1^4*t^5.21)/g2 + g1^8*g2*t^5.21 + 3*g1^4*t^5.47 + t^5.47/g2^2 + (g1^2*t^5.47)/g2 + g1^6*g2*t^5.47 + g1^8*g2^2*t^5.47 + g1^2*t^5.74 + t^5.74/g2 + g1^4*g2*t^5.74 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.49/g1^15 - t^6.53/g1^4 + t^6.79/g1^6 + t^6.79/(g1^8*g2) + (g2*t^6.79)/g1^4 + 2*g1^5*t^6.84 + (g1*t^6.84)/g2^2 + (g1^3*t^6.84)/g2 + g1^7*g2*t^6.84 + g1^9*g2^2*t^6.84 + (3*t^7.06)/g1^8 + t^7.06/(g1^12*g2^2) + t^7.06/(g1^10*g2) + (g2*t^7.06)/g1^6 + (g2^2*t^7.06)/g1^4 + 2*g1^3*t^7.1 + t^7.1/(g1*g2^2) + (2*g1*t^7.1)/g2 + 2*g1^5*g2*t^7.1 + g1^7*g2^2*t^7.1 + t^7.32/g1^10 + t^7.32/(g1^12*g2) + (g2*t^7.32)/g1^8 + 4*g1*t^7.37 + t^7.37/(g1^5*g2^3) + (2*t^7.37)/(g1^3*g2^2) + (4*t^7.37)/(g1*g2) + 4*g1^3*g2*t^7.37 + 2*g1^5*g2^2*t^7.37 + g1^7*g2^3*t^7.37 + 2*g1^12*t^7.41 + (g1^6*t^7.41)/g2^3 + (g1^8*t^7.41)/g2^2 + (2*g1^10*t^7.41)/g2 + 2*g1^14*g2*t^7.41 + g1^16*g2^2*t^7.41 + g1^18*g2^3*t^7.41 + (4*t^7.63)/g1 + (2*t^7.63)/(g1^5*g2^2) + t^7.63/(g1^3*g2) + g1*g2*t^7.63 + 2*g1^3*g2^2*t^7.63 + 2*g1^10*t^7.68 + (g1^6*t^7.68)/g2^2 + (g1^8*t^7.68)/g2 + g1^12*g2*t^7.68 + g1^14*g2^2*t^7.68 + t^7.9/g1^3 + t^7.9/(g1^9*g2^3) + t^7.9/(g1^7*g2^2) + (2*t^7.9)/(g1^5*g2) + (2*g2*t^7.9)/g1 + g1*g2^2*t^7.9 + g1^3*g2^3*t^7.9 + 2*g1^8*t^7.94 + (g1^2*t^7.94)/g2^3 + (g1^4*t^7.94)/g2^2 + (3*g1^6*t^7.94)/g2 + 3*g1^10*g2*t^7.94 + g1^12*g2^2*t^7.94 + g1^14*g2^3*t^7.94 - (4*t^8.16)/g1^5 - t^8.16/(g1^9*g2^2) - (2*t^8.16)/(g1^7*g2) - (2*g2*t^8.16)/g1^3 - (g2^2*t^8.16)/g1 + 3*g1^6*t^8.21 + (g1^2*t^8.21)/g2^2 + (g1^4*t^8.21)/g2 + g1^8*g2*t^8.21 + g1^10*g2^2*t^8.21 - t^8.43/g1^7 - t^8.43/(g1^9*g2) - (g2*t^8.43)/g1^5 - 4*g1^4*t^8.47 - t^8.47/g2^2 - (3*g1^2*t^8.47)/g2 - 3*g1^6*g2*t^8.47 - g1^8*g2^2*t^8.47 + t^8.65/g1^20 - t^8.69/g1^9 - 2*g1^2*t^8.74 - t^8.74/g2 - g1^4*g2*t^8.74 + t^8.96/g1^11 + t^8.96/(g1^13*g2) + (g2*t^8.96)/g1^9 - (g1*t^4.37)/y - t^6.53/(g1^4*y) - (g1^5*t^6.84)/y - (g1^3*t^6.84)/(g2*y) - (g1^7*g2*t^6.84)/y - (g1^3*t^7.1)/y + (2*t^7.63)/(g1*y) + t^7.63/(g1^3*g2*y) + (g1*g2*t^7.63)/y + (2*t^7.9)/(g1^3*y) + t^7.9/(g1^5*g2*y) + (g2*t^7.9)/(g1*y) + (g1^8*t^7.94)/y + (g1^6*t^7.94)/(g2*y) + (g1^10*g2*t^7.94)/y + t^8.16/(g1^5*y) + t^8.16/(g1^7*g2*y) + (g2*t^8.16)/(g1^3*y) + (2*g1^6*t^8.21)/y + (g1^4*t^8.21)/(g2*y) + (g1^8*g2*t^8.21)/y + (3*g1^4*t^8.47)/y + t^8.47/(g2^2*y) + (2*g1^2*t^8.47)/(g2*y) + (2*g1^6*g2*t^8.47)/y + (g1^8*g2^2*t^8.47)/y - t^8.69/(g1^9*y) + (g1^2*t^8.74)/y + t^8.74/(g2*y) + (g1^4*g2*t^8.74)/y - g1*t^4.37*y - (t^6.53*y)/g1^4 - g1^5*t^6.84*y - (g1^3*t^6.84*y)/g2 - g1^7*g2*t^6.84*y - g1^3*t^7.1*y + (2*t^7.63*y)/g1 + (t^7.63*y)/(g1^3*g2) + g1*g2*t^7.63*y + (2*t^7.9*y)/g1^3 + (t^7.9*y)/(g1^5*g2) + (g2*t^7.9*y)/g1 + g1^8*t^7.94*y + (g1^6*t^7.94*y)/g2 + g1^10*g2*t^7.94*y + (t^8.16*y)/g1^5 + (t^8.16*y)/(g1^7*g2) + (g2*t^8.16*y)/g1^3 + 2*g1^6*t^8.21*y + (g1^4*t^8.21*y)/g2 + g1^8*g2*t^8.21*y + 3*g1^4*t^8.47*y + (t^8.47*y)/g2^2 + (2*g1^2*t^8.47*y)/g2 + 2*g1^6*g2*t^8.47*y + g1^8*g2^2*t^8.47*y - (t^8.69*y)/g1^9 + g1^2*t^8.74*y + (t^8.74*y)/g2 + g1^4*g2*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 2482 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_2M_8$ | 0.7556 | 0.9503 | 0.7951 | [X:[], M:[0.7959, 1.0276, 0.9724, 0.851, 1.0, 0.7207, 0.8235, 0.9724], q:[0.6159, 0.5883], qb:[0.4117, 0.5607], phi:[0.4559]] | t^2.16 + t^2.39 + t^2.47 + t^2.55 + t^2.74 + 2*t^2.92 + t^3. + t^4.28 + t^4.32 + t^4.37 + t^4.45 + t^4.55 + t^4.63 + t^4.72 + t^4.73 + t^4.78 + t^4.81 + t^4.86 + 3*t^4.9 + 2*t^4.94 + t^4.98 + t^5.02 + t^5.06 + 2*t^5.08 + t^5.11 + t^5.12 + t^5.16 + t^5.21 + t^5.29 + 2*t^5.3 + 2*t^5.39 + 3*t^5.47 + 2*t^5.65 + t^5.74 + 2*t^5.83 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail |