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 |
|---|---|---|---|---|---|---|---|---|---|
| 2053 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.688 | 0.8991 | 0.7652 | [X:[], M:[0.8113, 1.1887, 0.8113, 0.6887, 1.1225, 0.6887, 0.8113], q:[0.75, 0.4387], qb:[0.4387, 0.3725], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [1, 0], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_7$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ M_6M_7$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4M_7$, $ M_4q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_7^2$, $ M_7q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_7$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_7\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_5M_7$, $ M_7q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$ | . | -5 | 2*t^2.07 + 4*t^2.43 + t^3. + 2*t^3.37 + t^3.74 + 6*t^4.13 + 8*t^4.5 + 10*t^4.87 + 2*t^5.07 + 8*t^5.43 + 8*t^5.8 - 5*t^6. + 4*t^6.17 + 8*t^6.2 + 20*t^6.57 + 3*t^6.74 + 16*t^6.93 + 2*t^7.1 + 2*t^7.13 + 16*t^7.3 + t^7.47 + 12*t^7.5 - 4*t^7.7 + 24*t^7.87 - 14*t^8.07 + 20*t^8.24 + 15*t^8.26 - 20*t^8.43 + 10*t^8.6 + 24*t^8.63 + 4*t^8.8 - t^4.5/y - (2*t^6.57)/y - (2*t^6.93)/y + (2*t^7.13)/y + (8*t^7.5)/y + (5*t^7.87)/y + (4*t^8.07)/y + (10*t^8.43)/y - (3*t^8.63)/y + (10*t^8.8)/y - t^4.5*y - 2*t^6.57*y - 2*t^6.93*y + 2*t^7.13*y + 8*t^7.5*y + 5*t^7.87*y + 4*t^8.07*y + 10*t^8.43*y - 3*t^8.63*y + 10*t^8.8*y | g1*t^2.07 + t^2.07/(g1*g2) + (2*t^2.43)/g1 + 2*g1*g2*t^2.43 + t^3. + 2*g2*t^3.37 + g2^2*t^3.74 + 2*g1^2*t^4.13 + (2*t^4.13)/(g1^2*g2^2) + (2*t^4.13)/g2 + 4*t^4.5 + (2*t^4.5)/(g1^2*g2) + 2*g1^2*g2*t^4.5 + (3*t^4.87)/g1^2 + 4*g2*t^4.87 + 3*g1^2*g2^2*t^4.87 + g1*t^5.07 + t^5.07/(g1*g2) + (4*t^5.43)/g1 + 4*g1*g2*t^5.43 + (4*g2*t^5.8)/g1 + 4*g1*g2^2*t^5.8 - 3*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + (2*g2^2*t^6.17)/g1 + 2*g1*g2^3*t^6.17 + 2*g1^3*t^6.2 + (2*t^6.2)/(g1^3*g2^3) + (2*t^6.2)/(g1*g2^2) + (2*g1*t^6.2)/g2 + 6*g1*t^6.57 + (4*t^6.57)/(g1^3*g2^2) + (6*t^6.57)/(g1*g2) + 4*g1^3*g2*t^6.57 + 3*g2^2*t^6.74 + (5*t^6.93)/g1 + (3*t^6.93)/(g1^3*g2) + 5*g1*g2*t^6.93 + 3*g1^3*g2^2*t^6.93 + 2*g2^3*t^7.1 + g1^2*t^7.13 + t^7.13/(g1^2*g2^2) + (4*t^7.3)/g1^3 + (4*g2*t^7.3)/g1 + 4*g1*g2^2*t^7.3 + 4*g1^3*g2^3*t^7.3 + g2^4*t^7.47 + 4*t^7.5 + (4*t^7.5)/(g1^2*g2) + 4*g1^2*g2*t^7.5 - (2*t^7.7)/(g1*g2^2) - (2*g1*t^7.7)/g2 + (7*t^7.87)/g1^2 + 10*g2*t^7.87 + 7*g1^2*g2^2*t^7.87 - 6*g1*t^8.07 - t^8.07/(g1^3*g2^2) - (6*t^8.07)/(g1*g2) - g1^3*g2*t^8.07 + (6*g2*t^8.24)/g1^2 + 8*g2^2*t^8.24 + 6*g1^2*g2^3*t^8.24 + 3*g1^4*t^8.26 + (3*t^8.26)/(g1^4*g2^4) + (3*t^8.26)/(g1^2*g2^3) + (3*t^8.26)/g2^2 + (3*g1^2*t^8.26)/g2 - (8*t^8.43)/g1 - (2*t^8.43)/(g1^3*g2) - 8*g1*g2*t^8.43 - 2*g1^3*g2^2*t^8.43 + (3*g2^2*t^8.6)/g1^2 + 4*g2^3*t^8.6 + 3*g1^2*g2^4*t^8.6 + 6*g1^2*t^8.63 + (4*t^8.63)/(g1^4*g2^3) + (6*t^8.63)/(g1^2*g2^2) + (4*t^8.63)/g2 + 4*g1^4*g2*t^8.63 + (2*g2*t^8.8)/g1 + 2*g1*g2^2*t^8.8 - t^4.5/y - (g1*t^6.57)/y - t^6.57/(g1*g2*y) - t^6.93/(g1*y) - (g1*g2*t^6.93)/y + (2*t^7.13)/(g2*y) + (4*t^7.5)/y + (2*t^7.5)/(g1^2*g2*y) + (2*g1^2*g2*t^7.5)/y + t^7.87/(g1^2*y) + (3*g2*t^7.87)/y + (g1^2*g2^2*t^7.87)/y + (2*g1*t^8.07)/y + (2*t^8.07)/(g1*g2*y) + (5*t^8.43)/(g1*y) + (5*g1*g2*t^8.43)/y - (g1^2*t^8.63)/y - t^8.63/(g1^2*g2^2*y) - t^8.63/(g2*y) + (5*g2*t^8.8)/(g1*y) + (5*g1*g2^2*t^8.8)/y - t^4.5*y - g1*t^6.57*y - (t^6.57*y)/(g1*g2) - (t^6.93*y)/g1 - g1*g2*t^6.93*y + (2*t^7.13*y)/g2 + 4*t^7.5*y + (2*t^7.5*y)/(g1^2*g2) + 2*g1^2*g2*t^7.5*y + (t^7.87*y)/g1^2 + 3*g2*t^7.87*y + g1^2*g2^2*t^7.87*y + 2*g1*t^8.07*y + (2*t^8.07*y)/(g1*g2) + (5*t^8.43*y)/g1 + 5*g1*g2*t^8.43*y - g1^2*t^8.63*y - (t^8.63*y)/(g1^2*g2^2) - (t^8.63*y)/g2 + (5*g2*t^8.8*y)/g1 + 5*g1*g2^2*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 3125 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7076 | 0.9351 | 0.7567 | [X:[], M:[0.8199, 1.1801, 0.8199, 0.6801, 1.1397, 0.6801, 0.8199, 0.7206], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]] | 2*t^2.04 + t^2.16 + 4*t^2.46 + t^3. + 2*t^3.42 + 6*t^4.08 + 2*t^4.2 + t^4.32 + 8*t^4.5 + 4*t^4.62 + 10*t^4.92 + 2*t^5.04 + t^5.16 + 8*t^5.46 + 2*t^5.58 + 6*t^5.88 - 5*t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 887 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6728 | 0.8725 | 0.7711 | [X:[], M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]] | t^2.01 + t^2.09 + 2*t^2.41 + t^2.49 + t^3. + 2*t^3.4 + t^3.51 + t^3.8 + 2*t^4.03 + 2*t^4.1 + 2*t^4.18 + 2*t^4.42 + 3*t^4.5 + t^4.58 + 3*t^4.82 + 2*t^4.9 + t^4.97 + t^5.01 + t^5.09 + 4*t^5.41 + 3*t^5.49 + t^5.53 + t^5.6 + 4*t^5.81 + 2*t^5.89 + t^5.92 - 2*t^6. - t^4.5/y - t^4.5*y | detail |