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 |
|---|---|---|---|---|---|---|---|---|---|
| 1925 | 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}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.666 | 0.8535 | 0.7803 | [X:[], M:[0.8191, 1.1809, 0.8191, 0.7236, 1.1382, 0.8191], q:[0.75, 0.4309], qb:[0.3882, 0.4309], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [0, -1]], 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 |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4M_5$, $ M_4q_1\tilde{q}_1$, $ M_5M_6$, $ M_6q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_1$ | . | -5 | t^2.17 + 4*t^2.46 + t^3. + 2*t^3.41 + 2*t^3.96 + 3*t^4.09 + t^4.34 + 4*t^4.63 + 10*t^4.91 + t^5.17 + 4*t^5.46 + 2*t^5.59 + 6*t^5.87 - 5*t^6. + 3*t^6.26 + 8*t^6.41 + t^6.51 + 8*t^6.54 + 4*t^6.8 + 2*t^6.83 - 2*t^6.96 + 9*t^7.09 + t^7.34 + 20*t^7.37 - 2*t^7.5 + 2*t^7.76 + 9*t^7.91 + 8*t^8.04 + 12*t^8.33 + 3*t^8.43 - 20*t^8.46 + t^8.68 + 8*t^8.71 + 18*t^8.87 + 4*t^8.97 - t^4.5/y - t^6.67/y - (2*t^6.96)/y + t^7.09/y + (4*t^7.63)/y + (5*t^7.91)/y + (2*t^8.04)/y + t^8.17/y + t^8.33/y + (4*t^8.46)/y + (2*t^8.59)/y - t^8.84/y + (8*t^8.87)/y - t^4.5*y - t^6.67*y - 2*t^6.96*y + t^7.09*y + 4*t^7.63*y + 5*t^7.91*y + 2*t^8.04*y + t^8.17*y + t^8.33*y + 4*t^8.46*y + 2*t^8.59*y - t^8.84*y + 8*t^8.87*y | t^2.17/g1^2 + (2*t^2.46)/g2 + 2*g1*g2*t^2.46 + t^3. + 2*g1*t^3.41 + t^3.96/g2 + g1*g2*t^3.96 + t^4.09/g1 + t^4.09/(g1^2*g2^2) + g2^2*t^4.09 + t^4.34/g1^4 + (2*t^4.63)/(g1^2*g2) + (2*g2*t^4.63)/g1 + 4*g1*t^4.91 + (3*t^4.91)/g2^2 + 3*g1^2*g2^2*t^4.91 + t^5.17/g1^2 + (2*t^5.46)/g2 + 2*g1*g2*t^5.46 + (2*t^5.59)/g1 + (3*g1*t^5.87)/g2 + 3*g1^2*g2*t^5.87 - 3*t^6. - t^6./(g1*g2^2) - g1*g2^2*t^6. + t^6.26/g1^3 + t^6.26/(g1^4*g2^2) + (g2^2*t^6.26)/g1^2 + 4*g1*t^6.41 + (2*t^6.41)/g2^2 + 2*g1^2*g2^2*t^6.41 + t^6.51/g1^6 + (2*t^6.54)/(g1^2*g2^3) + (2*t^6.54)/(g1*g2) + 2*g2*t^6.54 + 2*g1*g2^3*t^6.54 + (2*t^6.8)/(g1^4*g2) + (2*g2*t^6.8)/g1^3 + 2*g1^2*t^6.83 - t^6.96/g2 - g1*g2*t^6.96 + (3*t^7.09)/g1 + (3*t^7.09)/(g1^2*g2^2) + 3*g2^2*t^7.09 + t^7.34/g1^4 + (4*t^7.37)/g2^3 + (6*g1*t^7.37)/g2 + 6*g1^2*g2*t^7.37 + 4*g1^3*g2^3*t^7.37 - 2*t^7.5 + (2*t^7.76)/g1^3 + 3*g1*t^7.91 + (3*t^7.91)/g2^2 + 3*g1^2*g2^2*t^7.91 + t^8.04/(g1^2*g2^3) + (3*t^8.04)/(g1*g2) + 3*g2*t^8.04 + g1*g2^3*t^8.04 - (2*t^8.17)/g1^2 + t^8.17/(g1^4*g2^4) + g2^4*t^8.17 + 4*g1^2*t^8.33 + (4*g1*t^8.33)/g2^2 + 4*g1^3*g2^2*t^8.33 + t^8.43/g1^5 + t^8.43/(g1^6*g2^2) + (g2^2*t^8.43)/g1^4 - (2*t^8.46)/(g1*g2^3) - (8*t^8.46)/g2 - 8*g1*g2*t^8.46 - 2*g1^2*g2^3*t^8.46 + t^8.68/g1^8 + (2*t^8.71)/(g1^4*g2^3) + (2*t^8.71)/(g1^3*g2) + (2*g2*t^8.71)/g1^2 + (2*g2^3*t^8.71)/g1 + (3*t^8.87)/g2^3 + (6*g1*t^8.87)/g2 + 6*g1^2*g2*t^8.87 + 3*g1^3*g2^3*t^8.87 + (2*t^8.97)/(g1^6*g2) + (2*g2*t^8.97)/g1^5 - t^4.5/y - t^6.67/(g1^2*y) - t^6.96/(g2*y) - (g1*g2*t^6.96)/y + t^7.09/(g1*y) + (2*t^7.63)/(g1^2*g2*y) + (2*g2*t^7.63)/(g1*y) + (3*g1*t^7.91)/y + t^7.91/(g2^2*y) + (g1^2*g2^2*t^7.91)/y + t^8.04/(g1*g2*y) + (g2*t^8.04)/y + t^8.17/(g1^2*y) + (g1^2*t^8.33)/y + (2*t^8.46)/(g2*y) + (2*g1*g2*t^8.46)/y + (2*t^8.59)/(g1*y) - t^8.84/(g1^4*y) + (4*g1*t^8.87)/(g2*y) + (4*g1^2*g2*t^8.87)/y - t^4.5*y - (t^6.67*y)/g1^2 - (t^6.96*y)/g2 - g1*g2*t^6.96*y + (t^7.09*y)/g1 + (2*t^7.63*y)/(g1^2*g2) + (2*g2*t^7.63*y)/g1 + 3*g1*t^7.91*y + (t^7.91*y)/g2^2 + g1^2*g2^2*t^7.91*y + (t^8.04*y)/(g1*g2) + g2*t^8.04*y + (t^8.17*y)/g1^2 + g1^2*t^8.33*y + (2*t^8.46*y)/g2 + 2*g1*g2*t^8.46*y + (2*t^8.59*y)/g1 - (t^8.84*y)/g1^4 + (4*g1*t^8.87*y)/g2 + 4*g1^2*g2*t^8.87*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 567 | 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}_1^2$ + $ M_5q_2\tilde{q}_2$ | 0.6514 | 0.8288 | 0.7859 | [X:[], M:[0.8067, 1.1933, 0.8067, 0.7089, 1.1456], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]] | t^2.13 + 2*t^2.42 + t^2.52 + t^3. + 2*t^3.44 + t^3.48 + t^3.92 + t^3.97 + t^4.02 + t^4.06 + t^4.16 + t^4.25 + 2*t^4.55 + t^4.64 + 3*t^4.84 + 2*t^4.94 + t^5.03 + t^5.13 + 2*t^5.42 + t^5.52 + 2*t^5.56 + t^5.61 + 3*t^5.86 + t^5.9 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |