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 |
|---|---|---|---|---|---|---|---|---|---|
| 3961 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.6717 | 0.85 | 0.7902 | [X:[1.6175, 1.3228], M:[0.8526, 0.6772, 1.1474, 0.3825, 0.7649, 0.7211, 0.7211, 0.8526], q:[0.4044, 0.743], qb:[0.4482, 0.8745], phi:[0.3825]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, -2], [-2, 4], [2, -13], [0, 3]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_8$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ X_2$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_7$, $ M_7M_8$, $ M_1M_6$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_5M_8$, $ M_1\phi_1^2$, $ M_8\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1q_1^2$, $ M_6\phi_1q_1^2$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -3 | 2*t^2.16 + 2*t^2.29 + 2*t^2.56 + 2*t^3.57 + t^3.97 + 3*t^4.33 + 4*t^4.46 + 3*t^4.59 + 4*t^4.72 + 5*t^4.85 + 3*t^5.12 + 3*t^5.74 + 2*t^5.87 - 3*t^6. + 4*t^6.13 + t^6.26 + 4*t^6.49 + 2*t^6.53 + 6*t^6.62 + 6*t^6.75 + 9*t^6.88 + 8*t^7.02 + 8*t^7.15 + 2*t^7.28 + 4*t^7.41 + 3*t^7.67 + 4*t^7.9 + t^7.94 + 2*t^8.03 - 4*t^8.16 - t^8.29 + 2*t^8.43 - 7*t^8.56 + 5*t^8.65 + 4*t^8.69 + 8*t^8.78 + 2*t^8.82 + 9*t^8.92 - t^4.15/y - (2*t^6.31)/y - (2*t^6.44)/y - t^6.71/y + t^7.33/y + (4*t^7.46)/y + (2*t^7.59)/y + (4*t^7.72)/y + (6*t^7.85)/y + (2*t^7.98)/y + t^8.12/y - (3*t^8.47)/y - (4*t^8.61)/y + t^8.74/y + (2*t^8.87)/y - t^4.15*y - 2*t^6.31*y - 2*t^6.44*y - t^6.71*y + t^7.33*y + 4*t^7.46*y + 2*t^7.59*y + 4*t^7.72*y + 6*t^7.85*y + 2*t^7.98*y + t^8.12*y - 3*t^8.47*y - 4*t^8.61*y + t^8.74*y + 2*t^8.87*y | (g1^2*t^2.16)/g2^13 + (g2^4*t^2.16)/g1^2 + (2*t^2.29)/g2^2 + 2*g2^3*t^2.56 + (g1^2*t^3.57)/g2^9 + (g2^8*t^3.57)/g1^2 + g2^7*t^3.97 + (g1^4*t^4.33)/g2^26 + t^4.33/g2^9 + (g2^8*t^4.33)/g1^4 + (2*g1^2*t^4.46)/g2^15 + (2*g2^2*t^4.46)/g1^2 + (3*t^4.59)/g2^4 + (2*g1^2*t^4.72)/g2^10 + (2*g2^7*t^4.72)/g1^2 + 5*g2*t^4.85 + 3*g2^6*t^5.12 + (g1^4*t^5.74)/g2^22 + t^5.74/g2^5 + (g2^12*t^5.74)/g1^4 + (g1^2*t^5.87)/g2^11 + (g2^6*t^5.87)/g1^2 - 3*t^6. + (2*g1^2*t^6.13)/g2^6 + (2*g2^11*t^6.13)/g1^2 + g2^5*t^6.26 + (g1^6*t^6.49)/g2^39 + (g1^2*t^6.49)/g2^22 + t^6.49/(g1^2*g2^5) + (g2^12*t^6.49)/g1^6 + 2*g2^10*t^6.53 + (2*g1^4*t^6.62)/g2^28 + (2*t^6.62)/g2^11 + (2*g2^6*t^6.62)/g1^4 + (3*t^6.75)/g1^2 + (3*g1^2*t^6.75)/g2^17 + (2*g1^4*t^6.88)/g2^23 + (5*t^6.88)/g2^6 + (2*g2^11*t^6.88)/g1^4 + (4*g1^2*t^7.02)/g2^12 + (4*g2^5*t^7.02)/g1^2 + (g1^4*t^7.15)/g2^18 + (6*t^7.15)/g2 + (g2^16*t^7.15)/g1^4 + (g1^2*t^7.28)/g2^7 + (g2^10*t^7.28)/g1^2 + 4*g2^4*t^7.41 + 3*g2^9*t^7.67 + (g1^6*t^7.9)/g2^35 + (g1^2*t^7.9)/g2^18 + t^7.9/(g1^2*g2) + (g2^16*t^7.9)/g1^6 + g2^14*t^7.94 + (g1^4*t^8.03)/g2^24 + (g2^10*t^8.03)/g1^4 - (2*g1^2*t^8.16)/g2^13 - (2*g2^4*t^8.16)/g1^2 + (2*g1^4*t^8.29)/g2^19 - (5*t^8.29)/g2^2 + (2*g2^15*t^8.29)/g1^4 + (g1^2*t^8.43)/g2^8 + (g2^9*t^8.43)/g1^2 - 7*g2^3*t^8.56 + (g1^8*t^8.65)/g2^52 + (g1^4*t^8.65)/g2^35 + t^8.65/g2^18 + t^8.65/(g1^4*g2) + (g2^16*t^8.65)/g1^8 + (2*g1^2*t^8.69)/g2^3 + (2*g2^14*t^8.69)/g1^2 + (2*g1^6*t^8.78)/g2^41 + (2*g1^2*t^8.78)/g2^24 + (2*t^8.78)/(g1^2*g2^7) + (2*g2^10*t^8.78)/g1^6 + 2*g2^8*t^8.82 + (3*g1^4*t^8.92)/g2^30 + (3*t^8.92)/g2^13 + (3*g2^4*t^8.92)/g1^4 - t^4.15/(g2*y) - (g1^2*t^6.31)/(g2^14*y) - (g2^3*t^6.31)/(g1^2*y) - (2*t^6.44)/(g2^3*y) - (g2^2*t^6.71)/y + t^7.33/(g2^9*y) + (2*g1^2*t^7.46)/(g2^15*y) + (2*g2^2*t^7.46)/(g1^2*y) + (2*t^7.59)/(g2^4*y) + (2*g1^2*t^7.72)/(g2^10*y) + (2*g2^7*t^7.72)/(g1^2*y) + (6*g2*t^7.85)/y + (g1^2*t^7.98)/(g2^5*y) + (g2^12*t^7.98)/(g1^2*y) + (g2^6*t^8.12)/y - (g1^4*t^8.47)/(g2^27*y) - t^8.47/(g2^10*y) - (g2^7*t^8.47)/(g1^4*y) - (2*g1^2*t^8.61)/(g2^16*y) - (2*g2*t^8.61)/(g1^2*y) + (g1^4*t^8.74)/(g2^22*y) - t^8.74/(g2^5*y) + (g2^12*t^8.74)/(g1^4*y) + (g1^2*t^8.87)/(g2^11*y) + (g2^6*t^8.87)/(g1^2*y) - (t^4.15*y)/g2 - (g1^2*t^6.31*y)/g2^14 - (g2^3*t^6.31*y)/g1^2 - (2*t^6.44*y)/g2^3 - g2^2*t^6.71*y + (t^7.33*y)/g2^9 + (2*g1^2*t^7.46*y)/g2^15 + (2*g2^2*t^7.46*y)/g1^2 + (2*t^7.59*y)/g2^4 + (2*g1^2*t^7.72*y)/g2^10 + (2*g2^7*t^7.72*y)/g1^2 + 6*g2*t^7.85*y + (g1^2*t^7.98*y)/g2^5 + (g2^12*t^7.98*y)/g1^2 + g2^6*t^8.12*y - (g1^4*t^8.47*y)/g2^27 - (t^8.47*y)/g2^10 - (g2^7*t^8.47*y)/g1^4 - (2*g1^2*t^8.61*y)/g2^16 - (2*g2*t^8.61*y)/g1^2 + (g1^4*t^8.74*y)/g2^22 - (t^8.74*y)/g2^5 + (g2^12*t^8.74*y)/g1^4 + (g1^2*t^8.87*y)/g2^11 + (g2^6*t^8.87*y)/g1^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3690 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6593 | 0.8299 | 0.7944 | [X:[1.6217, 1.3516], M:[0.865, 0.6484, 1.135, 0.3783, 0.7567, 0.7026, 0.7026], q:[0.4054, 0.7296], qb:[0.4595, 0.892], phi:[0.3783]] | 2*t^2.11 + 2*t^2.27 + t^2.59 + t^3.41 + 2*t^3.57 + t^4.05 + 3*t^4.22 + 4*t^4.38 + 3*t^4.54 + 2*t^4.7 + 3*t^4.86 + t^5.19 + 2*t^5.51 + 5*t^5.68 + 2*t^5.84 - 2*t^6. - t^4.14/y - t^4.14*y | detail |