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 |
|---|---|---|---|---|---|---|---|---|---|
| 46331 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$ | -2 | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. + 2*t^6.13 + 2*t^6.3 + 5*t^6.6 + t^6.72 + t^6.85 + 2*t^6.89 + 4*t^7.02 + 3*t^7.32 + 2*t^7.45 + 2*t^7.62 + 4*t^7.74 + 6*t^7.92 + 3*t^8.17 + 2*t^8.34 + 2*t^8.47 + t^8.64 + 2*t^8.76 + 4*t^8.81 + 2*t^8.89 - 6*t^8.94 - t^4.32/y - t^6.36/y - (2*t^7.26)/y + (2*t^7.38)/y + t^7.68/y + (2*t^7.98)/y + t^8.28/y + (2*t^8.58)/y + (2*t^8.7)/y + t^8.87/y - t^4.32*y - t^6.36*y - 2*t^7.26*y + 2*t^7.38*y + t^7.68*y + 2*t^7.98*y + t^8.28*y + 2*t^8.58*y + 2*t^8.7*y + t^8.87*y | g2^6*t^2.04 + t^2.64/g2^4 + t^2.94/(g1*g2^11) + (g1*t^2.94)/g2^7 + g2^4*t^3.36 + t^3.66/(g1*g2^3) + g1*g2*t^3.66 + t^3.96/(g1^2*g2^10) + (g1^2*t^3.96)/g2^2 + 2*g2^12*t^4.08 + (g2^5*t^4.38)/g1 + g1*g2^9*t^4.38 + g2^2*t^4.68 + g2^20*t^4.81 + t^4.98/(g1*g2^5) + (g1*t^4.98)/g2 + t^5.28/g2^8 + g2^10*t^5.4 + (g2^3*t^5.7)/g1 + g1*g2^7*t^5.7 + t^5.87/(g1^2*g2^22) + t^5.87/g2^18 + (g1^2*t^5.87)/g2^14 - 2*t^6. + 2*g2^18*t^6.13 + t^6.3/(g1*g2^7) + (g1*t^6.3)/g2^3 + (2*t^6.6)/(g1^2*g2^14) + t^6.6/g2^10 + (2*g1^2*t^6.6)/g2^6 + g2^8*t^6.72 + g2^26*t^6.85 + t^6.89/(g1^3*g2^21) + (g1^3*t^6.89)/g2^9 + (2*g2*t^7.02)/g1 + 2*g1*g2^5*t^7.02 + t^7.32/(g1^2*g2^6) + t^7.32/g2^2 + g1^2*g2^2*t^7.32 + 2*g2^16*t^7.45 + t^7.62/(g1^3*g2^13) + (g1^3*t^7.62)/g2 + (2*g2^9*t^7.74)/g1 + 2*g1*g2^13*t^7.74 + t^7.92/(g1^4*g2^20) + t^7.92/(g1^2*g2^16) + (2*t^7.92)/g2^12 + (g1^2*t^7.92)/g2^8 + (g1^4*t^7.92)/g2^4 + (g2^2*t^8.04)/g1^2 - 2*g2^6*t^8.04 + g1^2*g2^10*t^8.04 + 3*g2^24*t^8.17 + t^8.34/(g1^3*g2^5) + g1^3*g2^7*t^8.34 + (g2^17*t^8.47)/g1 + g1*g2^21*t^8.47 + g1^2*t^8.64 + t^8.64/(g1^2*g2^8) - t^8.64/g2^4 + (g2^10*t^8.76)/g1^2 + g1^2*g2^18*t^8.76 + t^8.81/(g1^3*g2^33) + t^8.81/(g1*g2^29) + (g1*t^8.81)/g2^25 + (g1^3*t^8.81)/g2^21 + 2*g2^32*t^8.89 - (3*t^8.94)/(g1*g2^11) - (3*g1*t^8.94)/g2^7 - t^4.32/(g2^2*y) - (g2^4*t^6.36)/y - t^7.26/(g1*g2^13*y) - (g1*t^7.26)/(g2^9*y) + (g2^5*t^7.38)/(g1*y) + (g1*g2^9*t^7.38)/y + (g2^2*t^7.68)/y + t^7.98/(g1*g2^5*y) + (g1*t^7.98)/(g2*y) + t^8.28/(g2^8*y) + t^8.58/(g1*g2^15*y) + (g1*t^8.58)/(g2^11*y) + (g2^3*t^8.7)/(g1*y) + (g1*g2^7*t^8.7)/y + t^8.87/(g2^18*y) - (t^4.32*y)/g2^2 - g2^4*t^6.36*y - (t^7.26*y)/(g1*g2^13) - (g1*t^7.26*y)/g2^9 + (g2^5*t^7.38*y)/g1 + g1*g2^9*t^7.38*y + g2^2*t^7.68*y + (t^7.98*y)/(g1*g2^5) + (g1*t^7.98*y)/g2 + (t^8.28*y)/g2^8 + (t^8.58*y)/(g1*g2^15) + (g1*t^8.58*y)/g2^11 + (g2^3*t^8.7*y)/g1 + g1*g2^7*t^8.7*y + (t^8.87*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46474 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2^2$ | 0.67 | 0.8227 | 0.8144 | [X:[], M:[0.9824, 1.0, 1.115, 0.6725], q:[0.5663, 0.4513], qb:[0.4337, 0.7788], phi:[0.4425]] | t^2.02 + t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + 3*t^4.04 + t^4.33 + t^4.38 + t^4.67 + t^4.73 + t^4.96 + t^5.02 + t^5.31 + t^5.36 + t^5.65 + t^5.71 + t^5.89 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 46691 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 0.9657, 1.1263, 0.6895, 0.8737], q:[0.5974, 0.4368], qb:[0.4368, 0.7816], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 46367 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46667 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ | 0.6883 | 0.8554 | 0.8047 | [X:[], M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]] | t^2.04 + t^2.3 + t^2.64 + t^2.91 + t^2.98 + t^3.36 + t^3.62 + t^3.89 + t^4.04 + 2*t^4.08 + 2*t^4.34 + t^4.42 + t^4.6 + t^4.68 + t^4.79 + 2*t^4.94 + t^5.02 + t^5.21 + 2*t^5.28 + t^5.4 + 2*t^5.66 + t^5.81 + t^5.89 + t^5.92 + t^5.96 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y | detail |