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 |
|---|---|---|---|---|---|---|---|---|---|
| 4052 | 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\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_3M_8$ | 0.709 | 0.8935 | 0.7935 | [X:[], M:[1.0223, 1.1166, 0.9528, 0.675, 0.8834, 0.7444, 0.8139, 1.0472], q:[0.7792, 0.4069], qb:[0.5708, 0.4764], phi:[0.4417]] | [X:[], M:[[32], [-12], [22], [-18], [12], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_8$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6M_7$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_4M_8$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_6M_8$, $ M_7M_8$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_4q_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.23 + t^2.44 + 2*t^2.65 + t^3.07 + t^3.14 + t^3.77 + 2*t^4.05 + t^4.18 + 2*t^4.26 + 3*t^4.47 + 3*t^4.67 + t^4.75 + 3*t^4.88 + 3*t^5.09 + t^5.17 + 4*t^5.3 + t^5.37 + t^5.58 + t^5.72 + 2*t^5.79 - 2*t^6. + 2*t^6.07 + t^6.13 + t^6.21 + 3*t^6.28 + 2*t^6.42 + 4*t^6.49 + 6*t^6.7 + t^6.77 + 2*t^6.83 + 6*t^6.91 + t^6.98 - t^7.04 + 5*t^7.12 + 3*t^7.19 + t^7.25 + 6*t^7.33 + 3*t^7.4 + 5*t^7.53 + t^7.61 + 3*t^7.74 + 2*t^7.82 + t^7.89 + 5*t^7.95 - t^8.02 + 2*t^8.1 - t^8.23 + 3*t^8.31 + 3*t^8.37 - t^8.44 + 6*t^8.52 + t^8.58 - 4*t^8.65 + 6*t^8.72 + t^8.78 + 2*t^8.8 + 9*t^8.93 - t^4.33/y - t^6.35/y - t^6.56/y - t^6.77/y - t^6.98/y + (2*t^7.26)/y - t^7.39/y + t^7.47/y + (4*t^7.67)/y + (3*t^7.88)/y + (4*t^8.09)/y + t^8.17/y + (3*t^8.3)/y + t^8.51/y + (2*t^8.72)/y + t^8.79/y - t^4.33*y - t^6.35*y - t^6.56*y - t^6.77*y - t^6.98*y + 2*t^7.26*y - t^7.39*y + t^7.47*y + 4*t^7.67*y + 3*t^7.88*y + 4*t^8.09*y + t^8.17*y + 3*t^8.3*y + t^8.51*y + 2*t^8.72*y + t^8.79*y | t^2.02/g1^18 + t^2.23/g1^8 + g1^2*t^2.44 + 2*g1^12*t^2.65 + g1^32*t^3.07 + t^3.14/g1^22 + g1^8*t^3.77 + (2*t^4.05)/g1^36 + g1^28*t^4.18 + (2*t^4.26)/g1^26 + (3*t^4.47)/g1^16 + (3*t^4.67)/g1^6 + t^4.75/g1^60 + 3*g1^4*t^4.88 + 3*g1^14*t^5.09 + t^5.17/g1^40 + 4*g1^24*t^5.3 + t^5.37/g1^30 + t^5.58/g1^20 + g1^44*t^5.72 + (2*t^5.79)/g1^10 - 2*t^6. + (2*t^6.07)/g1^54 + g1^64*t^6.13 + g1^10*t^6.21 + (3*t^6.28)/g1^44 + 2*g1^20*t^6.42 + (4*t^6.49)/g1^34 + (6*t^6.7)/g1^24 + t^6.77/g1^78 + 2*g1^40*t^6.83 + (6*t^6.91)/g1^14 + t^6.98/g1^68 - g1^50*t^7.04 + (5*t^7.12)/g1^4 + (3*t^7.19)/g1^58 + g1^60*t^7.25 + 6*g1^6*t^7.33 + (3*t^7.4)/g1^48 + 5*g1^16*t^7.53 + t^7.61/g1^38 + 3*g1^26*t^7.74 + (2*t^7.82)/g1^28 + t^7.89/g1^82 + 5*g1^36*t^7.95 - t^8.02/g1^18 + (2*t^8.1)/g1^72 - t^8.23/g1^8 + (3*t^8.31)/g1^62 + 3*g1^56*t^8.37 - g1^2*t^8.44 + (6*t^8.52)/g1^52 + g1^66*t^8.58 - 4*g1^12*t^8.65 + (6*t^8.72)/g1^42 + g1^76*t^8.78 + (2*t^8.8)/g1^96 + (9*t^8.93)/g1^32 - (g1^6*t^4.33)/y - t^6.35/(g1^12*y) - t^6.56/(g1^2*y) - (g1^8*t^6.77)/y - (g1^18*t^6.98)/y + (2*t^7.26)/(g1^26*y) - (g1^38*t^7.39)/y + t^7.47/(g1^16*y) + (4*t^7.67)/(g1^6*y) + (3*g1^4*t^7.88)/y + (4*g1^14*t^8.09)/y + t^8.17/(g1^40*y) + (3*g1^24*t^8.3)/y + (g1^34*t^8.51)/y + (2*g1^44*t^8.72)/y + t^8.79/(g1^10*y) - g1^6*t^4.33*y - (t^6.35*y)/g1^12 - (t^6.56*y)/g1^2 - g1^8*t^6.77*y - g1^18*t^6.98*y + (2*t^7.26*y)/g1^26 - g1^38*t^7.39*y + (t^7.47*y)/g1^16 + (4*t^7.67*y)/g1^6 + 3*g1^4*t^7.88*y + 4*g1^14*t^8.09*y + (t^8.17*y)/g1^40 + 3*g1^24*t^8.3*y + g1^34*t^8.51*y + 2*g1^44*t^8.72*y + (t^8.79*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5611 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_3M_8$ + $ M_9q_1\tilde{q}_2$ | 0.7282 | 0.929 | 0.7839 | [X:[], M:[1.027, 1.1149, 0.956, 0.6723, 0.8851, 0.7433, 0.8142, 1.044, 0.7433], q:[0.7787, 0.4071], qb:[0.5659, 0.478], phi:[0.4426]] | t^2.02 + 2*t^2.23 + t^2.44 + 2*t^2.66 + t^3.08 + t^3.13 + 2*t^4.03 + t^4.2 + 3*t^4.25 + 5*t^4.46 + 4*t^4.67 + t^4.72 + 5*t^4.89 + 3*t^5.1 + t^5.15 + 5*t^5.31 + 2*t^5.36 + t^5.57 + t^5.74 + t^5.79 - 3*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1653 | 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\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7143 | 0.9018 | 0.7921 | [X:[], M:[0.9912, 1.1283, 0.9315, 0.6924, 0.8717, 0.7522, 0.812], q:[0.7821, 0.406], qb:[0.6028, 0.4657], phi:[0.4359]] | t^2.08 + t^2.26 + t^2.44 + 2*t^2.62 + t^2.79 + t^2.97 + t^3.74 + t^4.1 + 2*t^4.15 + 2*t^4.33 + 3*t^4.51 + 3*t^4.69 + 4*t^4.87 + t^4.92 + 4*t^5.05 + 5*t^5.23 + 2*t^5.41 + 2*t^5.59 + t^5.77 + t^5.95 - 2*t^6. - t^4.31/y - t^4.31*y | detail |