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 |
|---|---|---|---|---|---|---|---|---|---|
| 46809 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_4M_6$ | 0.7378 | 0.9171 | 0.8045 | [X:[], M:[0.7895, 0.7895, 1.0, 1.0, 0.7895, 1.0], q:[0.7105, 0.5], qb:[0.5, 0.5], phi:[0.4474]] | [X:[], M:[[-4, 0], [-4, 1], [0, 0], [0, -1], [-4, -1], [0, 1]], q:[[4, 0], [0, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_6$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_5$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_4M_5$, $ M_1M_4$, $ M_3M_5$, $ M_2M_3$, $ M_1M_6$, $ M_2M_6$, $ \phi_1q_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$ | $M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_6^2$ | -4 | 3*t^2.37 + t^2.68 + 3*t^3. + 6*t^4.34 + 6*t^4.74 + 3*t^4.97 + 3*t^5.05 + 7*t^5.37 + t^5.61 + 3*t^5.68 - 4*t^6. - 4*t^6.63 + 15*t^6.71 + 6*t^7.03 + 10*t^7.11 + 15*t^7.34 + 6*t^7.42 - 3*t^7.66 + 13*t^7.74 + 7*t^8.05 - 2*t^8.29 - 14*t^8.37 + 11*t^8.68 - t^8.92 - t^4.34/y - (3*t^6.71)/y - t^7.03/y + t^7.66/y + (3*t^7.74)/y + (3*t^7.97)/y + (3*t^8.05)/y + (9*t^8.37)/y + (3*t^8.68)/y - t^4.34*y - 3*t^6.71*y - t^7.03*y + t^7.66*y + 3*t^7.74*y + 3*t^7.97*y + 3*t^8.05*y + 9*t^8.37*y + 3*t^8.68*y | t^2.37/g1^4 + t^2.37/(g1^4*g2) + (g2*t^2.37)/g1^4 + t^2.68/g1^2 + t^3. + t^3./g2 + g2*t^3. + (2*t^4.34)/g1 + t^4.34/(g1*g2^2) + t^4.34/(g1*g2) + (g2*t^4.34)/g1 + (g2^2*t^4.34)/g1 + (2*t^4.74)/g1^8 + t^4.74/(g1^8*g2^2) + t^4.74/(g1^8*g2) + (g2*t^4.74)/g1^8 + (g2^2*t^4.74)/g1^8 + g1^3*t^4.97 + (g1^3*t^4.97)/g2 + g1^3*g2*t^4.97 + t^5.05/g1^6 + t^5.05/(g1^6*g2) + (g2*t^5.05)/g1^6 + (3*t^5.37)/g1^4 + t^5.37/(g1^4*g2^2) + t^5.37/(g1^4*g2) + (g2*t^5.37)/g1^4 + (g2^2*t^5.37)/g1^4 + g1^7*t^5.61 + t^5.68/g1^2 + t^5.68/(g1^2*g2) + (g2*t^5.68)/g1^2 - 2*t^6. - t^6./g2 - g2*t^6. - 2*g1^4*t^6.63 - (g1^4*t^6.63)/g2 - g1^4*g2*t^6.63 + (3*t^6.71)/g1^5 + t^6.71/(g1^5*g2^3) + (2*t^6.71)/(g1^5*g2^2) + (3*t^6.71)/(g1^5*g2) + (3*g2*t^6.71)/g1^5 + (2*g2^2*t^6.71)/g1^5 + (g2^3*t^6.71)/g1^5 + (2*t^7.03)/g1^3 + t^7.03/(g1^3*g2^2) + t^7.03/(g1^3*g2) + (g2*t^7.03)/g1^3 + (g2^2*t^7.03)/g1^3 + (2*t^7.11)/g1^12 + t^7.11/(g1^12*g2^3) + t^7.11/(g1^12*g2^2) + (2*t^7.11)/(g1^12*g2) + (2*g2*t^7.11)/g1^12 + (g2^2*t^7.11)/g1^12 + (g2^3*t^7.11)/g1^12 + (3*t^7.34)/g1 + t^7.34/(g1*g2^3) + (2*t^7.34)/(g1*g2^2) + (3*t^7.34)/(g1*g2) + (3*g2*t^7.34)/g1 + (2*g2^2*t^7.34)/g1 + (g2^3*t^7.34)/g1 + (2*t^7.42)/g1^10 + t^7.42/(g1^10*g2^2) + t^7.42/(g1^10*g2) + (g2*t^7.42)/g1^10 + (g2^2*t^7.42)/g1^10 - g1*t^7.66 - (g1*t^7.66)/g2^2 - g1*g2^2*t^7.66 + (3*t^7.74)/g1^8 + t^7.74/(g1^8*g2^3) + t^7.74/(g1^8*g2^2) + (3*t^7.74)/(g1^8*g2) + (3*g2*t^7.74)/g1^8 + (g2^2*t^7.74)/g1^8 + (g2^3*t^7.74)/g1^8 + (3*t^8.05)/g1^6 + t^8.05/(g1^6*g2^2) + t^8.05/(g1^6*g2) + (g2*t^8.05)/g1^6 + (g2^2*t^8.05)/g1^6 - (g1^5*t^8.29)/g2 - g1^5*g2*t^8.29 - (4*t^8.37)/g1^4 - (2*t^8.37)/(g1^4*g2^2) - (3*t^8.37)/(g1^4*g2) - (3*g2*t^8.37)/g1^4 - (2*g2^2*t^8.37)/g1^4 + t^8.68/g1^2 + t^8.68/(g1^2*g2^4) + t^8.68/(g1^2*g2^3) + (2*t^8.68)/(g1^2*g2^2) + t^8.68/(g1^2*g2) + (g2*t^8.68)/g1^2 + (2*g2^2*t^8.68)/g1^2 + (g2^3*t^8.68)/g1^2 + (g2^4*t^8.68)/g1^2 - g1^9*t^8.92 - t^4.34/(g1*y) - t^6.71/(g1^5*y) - t^6.71/(g1^5*g2*y) - (g2*t^6.71)/(g1^5*y) - t^7.03/(g1^3*y) + (g1*t^7.66)/y + t^7.74/(g1^8*y) + t^7.74/(g1^8*g2*y) + (g2*t^7.74)/(g1^8*y) + (g1^3*t^7.97)/y + (g1^3*t^7.97)/(g2*y) + (g1^3*g2*t^7.97)/y + t^8.05/(g1^6*y) + t^8.05/(g1^6*g2*y) + (g2*t^8.05)/(g1^6*y) + (3*t^8.37)/(g1^4*y) + t^8.37/(g1^4*g2^2*y) + (2*t^8.37)/(g1^4*g2*y) + (2*g2*t^8.37)/(g1^4*y) + (g2^2*t^8.37)/(g1^4*y) + t^8.68/(g1^2*y) + t^8.68/(g1^2*g2*y) + (g2*t^8.68)/(g1^2*y) - (t^4.34*y)/g1 - (t^6.71*y)/g1^5 - (t^6.71*y)/(g1^5*g2) - (g2*t^6.71*y)/g1^5 - (t^7.03*y)/g1^3 + g1*t^7.66*y + (t^7.74*y)/g1^8 + (t^7.74*y)/(g1^8*g2) + (g2*t^7.74*y)/g1^8 + g1^3*t^7.97*y + (g1^3*t^7.97*y)/g2 + g1^3*g2*t^7.97*y + (t^8.05*y)/g1^6 + (t^8.05*y)/(g1^6*g2) + (g2*t^8.05*y)/g1^6 + (3*t^8.37*y)/g1^4 + (t^8.37*y)/(g1^4*g2^2) + (2*t^8.37*y)/(g1^4*g2) + (2*g2*t^8.37*y)/g1^4 + (g2^2*t^8.37*y)/g1^4 + (t^8.68*y)/g1^2 + (t^8.68*y)/(g1^2*g2) + (g2*t^8.68*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55164 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_4M_6$ + $ M_4M_7$ | 0.7389 | 0.9195 | 0.8035 | [X:[], M:[0.7899, 0.767, 1.0, 1.0228, 0.8127, 0.9772, 0.9772], q:[0.7101, 0.5], qb:[0.5228, 0.4772], phi:[0.4475]] | t^2.3 + t^2.37 + t^2.44 + t^2.68 + 2*t^2.93 + t^3. + t^4.21 + t^4.27 + 2*t^4.34 + t^4.41 + t^4.48 + t^4.6 + t^4.67 + 2*t^4.74 + t^4.81 + t^4.88 + t^4.9 + t^4.97 + t^4.99 + t^5.04 + t^5.05 + t^5.12 + 2*t^5.23 + 2*t^5.3 + 3*t^5.37 + t^5.6 + 2*t^5.62 + t^5.68 + 2*t^5.86 - 3*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46434 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.6694, 0.8347, 1.0, 0.8347, 0.8347, 0.8347], q:[0.6653, 0.6653], qb:[0.5, 0.5], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*y | detail |