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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, -2], [-2, 4], [2, -13]], 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_3$, $ \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_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_7$, $ M_3M_6$, $ \phi_1q_2^2$, $ M_7\phi_1q_1^2$, $ M_3M_5$, $ M_3\phi_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$ | . | -2 | 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. + 2*t^6.16 + 5*t^6.32 + 6*t^6.49 + 7*t^6.65 + 7*t^6.81 + 6*t^6.97 + 5*t^7.14 - 2*t^7.3 + 3*t^7.62 + 8*t^7.78 + 5*t^7.95 - t^8.11 - t^8.27 + 5*t^8.43 + 5*t^8.59 + 9*t^8.76 + 13*t^8.92 - t^4.14/y - (2*t^6.24)/y - (2*t^6.41)/y + t^7.22/y + (4*t^7.38)/y + t^7.54/y + (2*t^7.7)/y + (4*t^7.86)/y + (2*t^8.03)/y - (3*t^8.35)/y - (2*t^8.51)/y + (3*t^8.68)/y + (4*t^8.84)/y - t^4.14*y - 2*t^6.24*y - 2*t^6.41*y + t^7.22*y + 4*t^7.38*y + t^7.54*y + 2*t^7.7*y + 4*t^7.86*y + 2*t^8.03*y - 3*t^8.35*y - 2*t^8.51*y + 3*t^8.68*y + 4*t^8.84*y | (g1^2*t^2.11)/g2^13 + (g2^4*t^2.11)/g1^2 + (2*t^2.27)/g2^2 + g2^3*t^2.59 + t^3.41/g2^3 + (g1^2*t^3.57)/g2^9 + (g2^8*t^3.57)/g1^2 + g2^7*t^4.05 + (g1^4*t^4.22)/g2^26 + t^4.22/g2^9 + (g2^8*t^4.22)/g1^4 + (2*g1^2*t^4.38)/g2^15 + (2*g2^2*t^4.38)/g1^2 + (3*t^4.54)/g2^4 + (g1^2*t^4.7)/g2^10 + (g2^7*t^4.7)/g1^2 + 3*g2*t^4.86 + g2^6*t^5.19 + (g1^2*t^5.51)/g2^16 + (g2*t^5.51)/g1^2 + (g1^4*t^5.68)/g2^22 + (3*t^5.68)/g2^5 + (g2^12*t^5.68)/g1^4 + (g1^2*t^5.84)/g2^11 + (g2^6*t^5.84)/g1^2 - 2*t^6. + (g1^2*t^6.16)/g2^6 + (g2^11*t^6.16)/g1^2 + (g1^6*t^6.32)/g2^39 + (g1^2*t^6.32)/g2^22 + t^6.32/(g1^2*g2^5) + g2^5*t^6.32 + (g2^12*t^6.32)/g1^6 + (2*g1^4*t^6.49)/g2^28 + (2*t^6.49)/g2^11 + (2*g2^6*t^6.49)/g1^4 + (3*t^6.65)/g1^2 + (3*g1^2*t^6.65)/g2^17 + g2^10*t^6.65 + (g1^4*t^6.81)/g2^23 + (5*t^6.81)/g2^6 + (g2^11*t^6.81)/g1^4 + (3*g1^2*t^6.97)/g2^12 + (3*g2^5*t^6.97)/g1^2 + (g1^4*t^7.14)/g2^18 + (3*t^7.14)/g2 + (g2^16*t^7.14)/g1^4 - (g1^2*t^7.3)/g2^7 - (g2^10*t^7.3)/g1^2 + (g1^4*t^7.62)/g2^29 + t^7.62/g2^12 + (g2^5*t^7.62)/g1^4 + (g1^6*t^7.78)/g2^35 + (3*g1^2*t^7.78)/g2^18 + (3*t^7.78)/(g1^2*g2) + (g2^16*t^7.78)/g1^6 + (g1^4*t^7.95)/g2^24 + (3*t^7.95)/g2^7 + (g2^10*t^7.95)/g1^4 - (g1^2*t^8.11)/g2^13 - (g2^4*t^8.11)/g1^2 + g2^14*t^8.11 + (g1^4*t^8.27)/g2^19 - (3*t^8.27)/g2^2 + (g2^15*t^8.27)/g1^4 + (g1^8*t^8.43)/g2^52 + (g1^4*t^8.43)/g2^35 + t^8.43/g2^18 + t^8.43/(g1^4*g2) + (g2^16*t^8.43)/g1^8 + (2*g1^6*t^8.59)/g2^41 + (2*g1^2*t^8.59)/g2^24 + (2*t^8.59)/(g1^2*g2^7) - 3*g2^3*t^8.59 + (2*g2^10*t^8.59)/g1^6 + (3*g1^4*t^8.76)/g2^30 + (3*t^8.76)/g2^13 + (3*g2^4*t^8.76)/g1^4 + (g1^6*t^8.92)/g2^36 + (5*g1^2*t^8.92)/g2^19 + (5*t^8.92)/(g1^2*g2^2) + g2^8*t^8.92 + (g2^15*t^8.92)/g1^6 - t^4.14/(g2*y) - (g1^2*t^6.24)/(g2^14*y) - (g2^3*t^6.24)/(g1^2*y) - (2*t^6.41)/(g2^3*y) + t^7.22/(g2^9*y) + (2*g1^2*t^7.38)/(g2^15*y) + (2*g2^2*t^7.38)/(g1^2*y) + t^7.54/(g2^4*y) + (g1^2*t^7.7)/(g2^10*y) + (g2^7*t^7.7)/(g1^2*y) + (4*g2*t^7.86)/y + (g1^2*t^8.03)/(g2^5*y) + (g2^12*t^8.03)/(g1^2*y) - (g1^4*t^8.35)/(g2^27*y) - t^8.35/(g2^10*y) - (g2^7*t^8.35)/(g1^4*y) - (g1^2*t^8.51)/(g2^16*y) - (g2*t^8.51)/(g1^2*y) + (g1^4*t^8.68)/(g2^22*y) + t^8.68/(g2^5*y) + (g2^12*t^8.68)/(g1^4*y) + (2*g1^2*t^8.84)/(g2^11*y) + (2*g2^6*t^8.84)/(g1^2*y) - (t^4.14*y)/g2 - (g1^2*t^6.24*y)/g2^14 - (g2^3*t^6.24*y)/g1^2 - (2*t^6.41*y)/g2^3 + (t^7.22*y)/g2^9 + (2*g1^2*t^7.38*y)/g2^15 + (2*g2^2*t^7.38*y)/g1^2 + (t^7.54*y)/g2^4 + (g1^2*t^7.7*y)/g2^10 + (g2^7*t^7.7*y)/g1^2 + 4*g2*t^7.86*y + (g1^2*t^8.03*y)/g2^5 + (g2^12*t^8.03*y)/g1^2 - (g1^4*t^8.35*y)/g2^27 - (t^8.35*y)/g2^10 - (g2^7*t^8.35*y)/g1^4 - (g1^2*t^8.51*y)/g2^16 - (g2*t^8.51*y)/g1^2 + (g1^4*t^8.68*y)/g2^22 + (t^8.68*y)/g2^5 + (g2^12*t^8.68*y)/g1^4 + (2*g1^2*t^8.84*y)/g2^11 + (2*g2^6*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 3961 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3263 | 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$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.8572, 0.6665, 1.1428, 0.3809, 0.7619, 0.7002], q:[0.4117, 0.7311], qb:[0.4455, 0.888], phi:[0.3809]] | t^2.1 + 2*t^2.29 + t^2.57 + t^3.43 + t^3.53 + t^3.61 + t^3.82 + t^4. + t^4.2 + 2*t^4.39 + 3*t^4.57 + t^4.67 + 3*t^4.86 + t^5.14 + t^5.53 + t^5.63 + 2*t^5.71 + t^5.82 + t^5.9 + t^5.92 - 2*t^6. - t^4.14/y - t^4.14*y | detail |