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 |
|---|---|---|---|---|---|---|---|---|---|
| 2867 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6488 | 0.8006 | 0.8104 | [X:[], M:[1.1413, 1.096, 0.9267, 0.8587, 0.712, 1.096], q:[0.774, 0.3447], qb:[0.514, 0.5593], phi:[0.452]] | [X:[], M:[[8], [-4], [10], [-8], [12], [-4]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ M_2$, $ M_6$, $ q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4^2$, $ M_2M_5$, $ M_5M_6$, $ M_3^2$, $ M_1M_5$, $ M_2M_4$, $ M_4M_6$, $ M_4q_1q_2$ | . | -2 | t^2.14 + t^2.58 + t^2.78 + 2*t^3.29 + t^3.36 + t^3.42 + t^3.93 + t^4. + t^4.07 + t^4.27 + t^4.44 + t^4.58 + 2*t^4.71 + t^4.92 + t^5.15 + 2*t^5.42 + 2*t^5.56 + t^5.86 + t^5.93 - 2*t^6. + 2*t^6.07 + t^6.14 + 2*t^6.2 + t^6.41 + 3*t^6.58 + 2*t^6.71 + t^6.78 + 3*t^6.85 + t^7.02 + t^7.05 + t^7.22 + 2*t^7.29 + 2*t^7.36 + t^7.42 + t^7.49 + 2*t^7.56 + 2*t^7.7 + 2*t^7.73 + t^7.86 + 2*t^8. + t^8.07 - t^8.14 + 2*t^8.2 + 3*t^8.34 + t^8.37 + t^8.44 + t^8.51 + t^8.54 - 2*t^8.58 - t^8.64 + 3*t^8.71 - 3*t^8.78 + 2*t^8.85 + t^8.88 + t^8.92 + 4*t^8.98 - t^4.36/y - t^6.49/y + t^7.07/y - t^7.14/y + t^7.58/y - t^7.64/y + t^7.71/y + t^7.92/y + t^8.22/y + t^8.36/y + (2*t^8.42)/y + t^8.49/y + t^8.56/y - t^8.63/y + (2*t^8.86)/y + t^8.93/y - t^4.36*y - t^6.49*y + t^7.07*y - t^7.14*y + t^7.58*y - t^7.64*y + t^7.71*y + t^7.92*y + t^8.22*y + t^8.36*y + 2*t^8.42*y + t^8.49*y + t^8.56*y - t^8.63*y + 2*t^8.86*y + t^8.93*y | g1^12*t^2.14 + t^2.58/g1^8 + g1^10*t^2.78 + (2*t^3.29)/g1^4 + g1^2*t^3.36 + g1^8*t^3.42 + t^3.93/g1^6 + t^4. + g1^6*t^4.07 + g1^24*t^4.27 + t^4.44/g1^20 + t^4.58/g1^8 + 2*g1^4*t^4.71 + g1^22*t^4.92 + t^5.15/g1^16 + 2*g1^8*t^5.42 + 2*g1^20*t^5.56 + t^5.86/g1^12 + t^5.93/g1^6 - 2*t^6. + 2*g1^6*t^6.07 + g1^12*t^6.14 + 2*g1^18*t^6.2 + g1^36*t^6.41 + (3*t^6.58)/g1^8 + 2*g1^4*t^6.71 + g1^10*t^6.78 + 3*g1^16*t^6.85 + t^7.02/g1^28 + g1^34*t^7.05 + t^7.22/g1^10 + (2*t^7.29)/g1^4 + 2*g1^2*t^7.36 + g1^8*t^7.42 + g1^14*t^7.49 + 2*g1^20*t^7.56 + 2*g1^32*t^7.7 + (2*t^7.73)/g1^24 + t^7.86/g1^12 + 2*t^8. + g1^6*t^8.07 - g1^12*t^8.14 + 2*g1^18*t^8.2 + 3*g1^30*t^8.34 + t^8.37/g1^26 + t^8.44/g1^20 + t^8.51/g1^14 + g1^48*t^8.54 - (2*t^8.58)/g1^8 - t^8.64/g1^2 + 3*g1^4*t^8.71 - 3*g1^10*t^8.78 + 2*g1^16*t^8.85 + t^8.88/g1^40 + g1^22*t^8.92 + 4*g1^28*t^8.98 - (g1^2*t^4.36)/y - (g1^14*t^6.49)/y + (g1^6*t^7.07)/y - (g1^12*t^7.14)/y + t^7.58/(g1^8*y) - t^7.64/(g1^2*y) + (g1^4*t^7.71)/y + (g1^22*t^7.92)/y + t^8.22/(g1^10*y) + (g1^2*t^8.36)/y + (2*g1^8*t^8.42)/y + (g1^14*t^8.49)/y + (g1^20*t^8.56)/y - (g1^26*t^8.63)/y + (2*t^8.86)/(g1^12*y) + t^8.93/(g1^6*y) - g1^2*t^4.36*y - g1^14*t^6.49*y + g1^6*t^7.07*y - g1^12*t^7.14*y + (t^7.58*y)/g1^8 - (t^7.64*y)/g1^2 + g1^4*t^7.71*y + g1^22*t^7.92*y + (t^8.22*y)/g1^10 + g1^2*t^8.36*y + 2*g1^8*t^8.42*y + g1^14*t^8.49*y + g1^20*t^8.56*y - g1^26*t^8.63*y + (2*t^8.86*y)/g1^12 + (t^8.93*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3435 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6434 | 0.7917 | 0.8126 | [X:[], M:[1.1652, 1.0841, 0.9565, 0.8348, 0.7478, 1.0841, 1.0435], q:[0.771, 0.3536], qb:[0.4812, 0.5623], phi:[0.458]] | t^2.24 + t^2.5 + t^3.13 + 2*t^3.25 + t^3.37 + t^3.5 + t^3.88 + t^4. + t^4.12 + t^4.26 + t^4.49 + t^4.5 + 2*t^4.75 + t^5.01 + 2*t^5.5 + t^5.63 + t^5.74 + t^5.76 + t^5.88 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1845 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | t^2.1 + t^2.6 + t^2.7 + t^2.75 + t^3.3 + t^3.35 + t^3.4 + t^3.95 + t^4. + t^4.05 + t^4.19 + t^4.51 + t^4.6 + 2*t^4.7 + t^4.79 + t^4.84 + t^5.21 + t^5.3 + 2*t^5.4 + t^5.45 + 2*t^5.49 + t^5.95 - t^6. - t^4.35/y - t^4.35*y | detail |