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 |
---|---|---|---|---|---|---|---|---|---|
46572 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_5\phi_1^2$ | 0.7014 | 0.8528 | 0.8224 | [X:[], M:[1.0, 1.0, 1.0, 0.8973, 1.0514], q:[0.4486, 0.5514], qb:[0.5514, 0.5514], phi:[0.4743]] | [X:[], M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [2, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_2$, $ M_3$, $ M_3$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$ | $M_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_3^2$, $ M_4q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$ | -2 | t^2.69 + 3*t^3. + t^3.15 + 2*t^3.31 + t^4.11 + 3*t^4.42 + 6*t^4.73 + t^5.38 + t^5.85 - 2*t^6. + 3*t^6.15 + 3*t^6.31 + 2*t^6.46 + 3*t^6.62 + t^6.81 + 3*t^7.11 + 5*t^7.42 + 12*t^7.73 + 9*t^8.04 + t^8.08 + t^8.23 + 4*t^8.54 - 5*t^8.69 + 6*t^8.85 - t^4.42/y - t^7.11/y + t^7.73/y + (3*t^8.69)/y + t^8.85/y - t^4.42*y - t^7.11*y + t^7.73*y + 3*t^8.69*y + t^8.85*y | t^2.69/g1^4 + t^3. + (g1^2*t^3.)/g2 + (g2*t^3.)/g1^2 + g1^2*t^3.15 + (g1^6*t^3.31)/g2 + g1^2*g2*t^3.31 + t^4.11/g1^5 + t^4.42/g1 + (g1*t^4.42)/g2 + (g2*t^4.42)/g1^3 + 2*g1^3*t^4.73 + (g1^7*t^4.73)/g2^2 + (g1^5*t^4.73)/g2 + g1*g2*t^4.73 + (g2^2*t^4.73)/g1 + t^5.38/g1^8 + t^5.85/g1^2 - 2*t^6. + g1^2*t^6.15 + (g1^4*t^6.15)/g2 + g2*t^6.15 + g1^4*t^6.31 + (g1^8*t^6.31)/g2^2 + g2^2*t^6.31 + (g1^8*t^6.46)/g2 + g1^4*g2*t^6.46 + g1^8*t^6.62 + (g1^12*t^6.62)/g2^2 + g1^4*g2^2*t^6.62 + t^6.81/g1^9 + t^7.11/g1^5 + t^7.11/(g1^3*g2) + (g2*t^7.11)/g1^7 + t^7.42/g1 + (g1^3*t^7.42)/g2^2 + (g1*t^7.42)/g2 + (g2*t^7.42)/g1^3 + (g2^2*t^7.42)/g1^5 + 2*g1^3*t^7.73 + (g1^9*t^7.73)/g2^3 + (2*g1^7*t^7.73)/g2^2 + (2*g1^5*t^7.73)/g2 + 2*g1*g2*t^7.73 + (2*g2^2*t^7.73)/g1 + (g2^3*t^7.73)/g1^3 + g1^7*t^8.04 + (g1^13*t^8.04)/g2^3 + (g1^11*t^8.04)/g2^2 + (2*g1^9*t^8.04)/g2 + 2*g1^5*g2*t^8.04 + g1^3*g2^2*t^8.04 + g1*g2^3*t^8.04 + t^8.08/g1^12 + t^8.23/g1^10 + (2*t^8.54)/g1^6 + t^8.54/(g1^4*g2) + (g2*t^8.54)/g1^8 - (3*t^8.69)/g1^4 - t^8.69/(g1^2*g2) - (g2*t^8.69)/g1^6 + (2*t^8.85)/g1^2 + (g1^2*t^8.85)/g2^2 + t^8.85/g2 + (g2*t^8.85)/g1^4 + (g2^2*t^8.85)/g1^6 - t^4.42/(g1*y) - t^7.11/(g1^5*y) + (g1^3*t^7.73)/y + t^8.69/(g1^4*y) + t^8.69/(g1^2*g2*y) + (g2*t^8.69)/(g1^6*y) + t^8.85/(g1^2*y) - (t^4.42*y)/g1 - (t^7.11*y)/g1^5 + g1^3*t^7.73*y + (t^8.69*y)/g1^4 + (t^8.69*y)/(g1^2*g2) + (g2*t^8.69*y)/g1^6 + (t^8.85*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 |
---|---|---|---|---|---|---|---|---|
48161 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6511 | 0.7974 | 0.8166 | [X:[], M:[1.1698, 1.0, 0.8302, 0.7862, 1.1069], q:[0.3931, 0.4371], qb:[0.6069, 0.7767], phi:[0.4465]] | t^2.36 + t^2.49 + t^3. + t^3.13 + t^3.32 + t^3.51 + t^3.7 + t^3.83 + t^3.96 + t^4.15 + t^4.34 + t^4.47 + t^4.72 + t^4.85 + 2*t^4.98 + t^5.49 + t^5.62 + t^5.68 + t^5.81 - 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46314 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ | 0.7067 | 0.861 | 0.8208 | [X:[], M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.62 + t^2.81 + 3*t^3. + 2*t^3.38 + t^4.03 + 3*t^4.41 + 6*t^4.78 + t^5.24 + t^5.43 + t^5.62 + 3*t^5.81 - 2*t^6. - t^4.41/y - t^4.41*y | detail |