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 |
|---|---|---|---|---|---|---|---|---|---|
| 1676 | 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_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_3M_7$ | 0.6492 | 0.8174 | 0.7943 | [X:[], M:[0.7698, 1.2, 0.8302, 0.8, 0.8, 0.7397, 1.1698], q:[0.8, 0.4302], qb:[0.8, 0.3698], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [0], [2], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_4$, $ M_5$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_7$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ M_6^2$, $ M_1M_6$, $ M_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_2^2$, $ M_6M_7$, $ M_6q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_7$, $ M_1q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_4M_7$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_6q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | $\phi_1\tilde{q}_1^2$ | -2 | t^2.22 + t^2.31 + 3*t^2.4 + t^3.42 + 2*t^3.51 + t^3.69 + t^4.44 + t^4.53 + 4*t^4.62 + 3*t^4.71 + 7*t^4.8 + t^5.64 + 3*t^5.73 + 4*t^5.82 + 5*t^5.91 - 2*t^6. + t^6.09 - t^6.18 + t^6.66 + t^6.75 + 5*t^6.84 + 6*t^6.93 + 11*t^7.02 + 4*t^7.11 + 10*t^7.2 - 4*t^7.29 - t^7.38 + t^7.86 + 3*t^7.95 + 5*t^8.04 + 9*t^8.13 + 5*t^8.22 + 5*t^8.31 - 10*t^8.4 - 2*t^8.49 - 4*t^8.58 + t^8.88 + t^8.97 - t^4.2/y - t^6.42/y - t^6.51/y - (2*t^6.6)/y + t^7.53/y + (3*t^7.62)/y + (3*t^7.71)/y + (5*t^7.8)/y + t^7.89/y + t^7.98/y + (2*t^8.73)/y + (2*t^8.82)/y + (5*t^8.91)/y - t^4.2*y - t^6.42*y - t^6.51*y - 2*t^6.6*y + t^7.53*y + 3*t^7.62*y + 3*t^7.71*y + 5*t^7.8*y + t^7.89*y + t^7.98*y + 2*t^8.73*y + 2*t^8.82*y + 5*t^8.91*y | g1^2*t^2.22 + g1*t^2.31 + 3*t^2.4 + g1^2*t^3.42 + 2*g1*t^3.51 + t^3.69/g1 + g1^4*t^4.44 + g1^3*t^4.53 + 4*g1^2*t^4.62 + 3*g1*t^4.71 + 7*t^4.8 + g1^4*t^5.64 + 3*g1^3*t^5.73 + 4*g1^2*t^5.82 + 5*g1*t^5.91 - 2*t^6. + t^6.09/g1 - t^6.18/g1^2 + g1^6*t^6.66 + g1^5*t^6.75 + 5*g1^4*t^6.84 + 6*g1^3*t^6.93 + 11*g1^2*t^7.02 + 4*g1*t^7.11 + 10*t^7.2 - (4*t^7.29)/g1 - t^7.38/g1^2 + g1^6*t^7.86 + 3*g1^5*t^7.95 + 5*g1^4*t^8.04 + 9*g1^3*t^8.13 + 5*g1^2*t^8.22 + 5*g1*t^8.31 - 10*t^8.4 - (2*t^8.49)/g1 - (4*t^8.58)/g1^2 + g1^8*t^8.88 + g1^7*t^8.97 - t^4.2/y - (g1^2*t^6.42)/y - (g1*t^6.51)/y - (2*t^6.6)/y + (g1^3*t^7.53)/y + (3*g1^2*t^7.62)/y + (3*g1*t^7.71)/y + (5*t^7.8)/y + t^7.89/(g1*y) + t^7.98/(g1^2*y) + (2*g1^3*t^8.73)/y + (2*g1^2*t^8.82)/y + (5*g1*t^8.91)/y - t^4.2*y - g1^2*t^6.42*y - g1*t^6.51*y - 2*t^6.6*y + g1^3*t^7.53*y + 3*g1^2*t^7.62*y + 3*g1*t^7.71*y + 5*t^7.8*y + (t^7.89*y)/g1 + (t^7.98*y)/g1^2 + 2*g1^3*t^8.73*y + 2*g1^2*t^8.82*y + 5*g1*t^8.91*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4067 | $\phi_1q_1^2$ + $ 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_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_3M_7$ + $ M_8q_1q_2$ | 0.6676 | 0.852 | 0.7836 | [X:[], M:[0.7625, 1.2, 0.8375, 0.8, 0.8, 0.7249, 1.1625, 0.7625], q:[0.8, 0.4375], qb:[0.8, 0.3625], phi:[0.4]] | t^2.17 + 2*t^2.29 + 3*t^2.4 + t^3.37 + 2*t^3.49 + t^4.35 + 2*t^4.46 + 6*t^4.57 + 6*t^4.69 + 7*t^4.8 + t^5.55 + 4*t^5.66 + 6*t^5.77 + 4*t^5.89 - 3*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1077 | 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_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.6642 | 0.8416 | 0.7892 | [X:[], M:[0.7807, 1.2, 0.8193, 0.8, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.8, 0.3807], phi:[0.4]] | t^2.28 + t^2.34 + 3*t^2.4 + t^2.46 + t^3.48 + t^3.54 + t^3.66 + t^4.57 + t^4.63 + 4*t^4.68 + 4*t^4.74 + 8*t^4.8 + 3*t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 - t^6. - t^4.2/y - t^4.2*y | detail |