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 |
|---|---|---|---|---|---|---|---|---|---|
| 1015 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.664 | 0.8582 | 0.7737 | [X:[], M:[1.2133, 1.1066, 0.7867, 0.8934, 0.7133, 0.6801], q:[0.75, 0.4301], qb:[0.3566, 0.4633], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_5$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ M_4M_5$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_6\phi_1^2$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_6q_1q_2$, $ M_1M_6$, $ M_4\phi_1^2$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | 1 | t^2.04 + t^2.14 + t^2.36 + t^2.46 + t^2.68 + t^3. + t^3.32 + t^3.54 + 2*t^3.64 + 2*t^4.08 + 2*t^4.18 + 2*t^4.28 + t^4.4 + 2*t^4.5 + t^4.6 + 2*t^4.72 + 2*t^4.82 + t^4.92 + 2*t^5.04 + 2*t^5.14 + 3*t^5.36 + 2*t^5.46 + t^5.58 + 4*t^5.68 + 2*t^5.78 + t^6. + t^6.1 + 2*t^6.12 + 3*t^6.22 + 3*t^6.32 + 2*t^6.42 + 2*t^6.44 + 3*t^6.54 + 4*t^6.64 + 2*t^6.74 + 3*t^6.76 + 3*t^6.86 + 4*t^6.96 + t^7.06 + 4*t^7.08 + 3*t^7.18 + 4*t^7.28 + t^7.38 + 3*t^7.4 + 2*t^7.5 + 2*t^7.6 + 2*t^7.62 + 6*t^7.72 + 5*t^7.82 + 4*t^7.92 + t^8.04 + 3*t^8.16 + t^8.24 + 4*t^8.26 + 5*t^8.36 + 3*t^8.46 + 2*t^8.48 + 4*t^8.56 + 3*t^8.58 + 2*t^8.68 + 3*t^8.78 + 4*t^8.8 + 2*t^8.88 + 4*t^8.9 - t^4.5/y - t^6.54/y - t^6.64/y + t^7.18/y + t^7.4/y + (2*t^7.5)/y + t^7.6/y + t^7.72/y + (2*t^7.82)/y + (2*t^8.04)/y + (2*t^8.14)/y + (3*t^8.36)/y + (3*t^8.46)/y + (4*t^8.68)/y + (2*t^8.78)/y + t^8.9/y - t^4.5*y - t^6.54*y - t^6.64*y + t^7.18*y + t^7.4*y + 2*t^7.5*y + t^7.6*y + t^7.72*y + 2*t^7.82*y + 2*t^8.04*y + 2*t^8.14*y + 3*t^8.36*y + 3*t^8.46*y + 4*t^8.68*y + 2*t^8.78*y + t^8.9*y | t^2.04/g1^3 + g1^2*t^2.14 + t^2.36/g1^2 + g1^3*t^2.46 + t^2.68/g1 + t^3. + g1*t^3.32 + t^3.54/g1^3 + 2*g1^2*t^3.64 + (2*t^4.08)/g1^6 + (2*t^4.18)/g1 + 2*g1^4*t^4.28 + t^4.4/g1^5 + 2*t^4.5 + g1^5*t^4.6 + (2*t^4.72)/g1^4 + 2*g1*t^4.82 + g1^6*t^4.92 + (2*t^5.04)/g1^3 + 2*g1^2*t^5.14 + (3*t^5.36)/g1^2 + 2*g1^3*t^5.46 + t^5.58/g1^6 + (4*t^5.68)/g1 + 2*g1^4*t^5.78 + t^6. + g1^5*t^6.1 + (2*t^6.12)/g1^9 + (3*t^6.22)/g1^4 + 3*g1*t^6.32 + 2*g1^6*t^6.42 + (2*t^6.44)/g1^8 + (3*t^6.54)/g1^3 + 4*g1^2*t^6.64 + 2*g1^7*t^6.74 + (3*t^6.76)/g1^7 + (3*t^6.86)/g1^2 + 4*g1^3*t^6.96 + g1^8*t^7.06 + (4*t^7.08)/g1^6 + (3*t^7.18)/g1 + 4*g1^4*t^7.28 + g1^9*t^7.38 + (3*t^7.4)/g1^5 + 2*t^7.5 + 2*g1^5*t^7.6 + (2*t^7.62)/g1^9 + (6*t^7.72)/g1^4 + 5*g1*t^7.82 + 4*g1^6*t^7.92 + t^8.04/g1^3 + (3*t^8.16)/g1^12 + g1^7*t^8.24 + (4*t^8.26)/g1^7 + (5*t^8.36)/g1^2 + 3*g1^3*t^8.46 + (2*t^8.48)/g1^11 + 4*g1^8*t^8.56 + (3*t^8.58)/g1^6 + (2*t^8.68)/g1 + 3*g1^4*t^8.78 + (4*t^8.8)/g1^10 + 2*g1^9*t^8.88 + (4*t^8.9)/g1^5 - t^4.5/y - t^6.54/(g1^3*y) - (g1^2*t^6.64)/y + t^7.18/(g1*y) + t^7.4/(g1^5*y) + (2*t^7.5)/y + (g1^5*t^7.6)/y + t^7.72/(g1^4*y) + (2*g1*t^7.82)/y + (2*t^8.04)/(g1^3*y) + (2*g1^2*t^8.14)/y + (3*t^8.36)/(g1^2*y) + (3*g1^3*t^8.46)/y + (4*t^8.68)/(g1*y) + (2*g1^4*t^8.78)/y + t^8.9/(g1^5*y) - t^4.5*y - (t^6.54*y)/g1^3 - g1^2*t^6.64*y + (t^7.18*y)/g1 + (t^7.4*y)/g1^5 + 2*t^7.5*y + g1^5*t^7.6*y + (t^7.72*y)/g1^4 + 2*g1*t^7.82*y + (2*t^8.04*y)/g1^3 + 2*g1^2*t^8.14*y + (3*t^8.36*y)/g1^2 + 3*g1^3*t^8.46*y + (4*t^8.68*y)/g1 + 2*g1^4*t^8.78*y + (t^8.9*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2108 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6738 | 0.8749 | 0.7701 | [X:[], M:[1.2182, 1.1091, 0.7818, 0.8909, 0.7182, 0.6726, 0.8909], q:[0.75, 0.4226], qb:[0.3591, 0.4682], phi:[0.5]] | t^2.02 + t^2.15 + t^2.35 + t^2.48 + 2*t^2.67 + t^3. + t^3.52 + 2*t^3.65 + 2*t^4.04 + 2*t^4.17 + 2*t^4.31 + t^4.36 + 2*t^4.5 + t^4.64 + 3*t^4.69 + 3*t^4.83 + t^4.96 + 3*t^5.02 + 3*t^5.15 + 4*t^5.35 + t^5.48 + t^5.54 + 4*t^5.67 + t^5.81 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 638 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6432 | 0.8175 | 0.7868 | [X:[], M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | t^2.14 + t^2.36 + t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.55 + 2*t^3.64 + t^3.95 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.5 + t^4.59 + t^4.73 + 2*t^4.82 + t^4.91 + t^5.05 + 2*t^5.14 + 2*t^5.36 + 2*t^5.45 + 2*t^5.68 + 2*t^5.77 + t^6. - t^4.5/y - t^4.5*y | detail |