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 |
---|---|---|---|---|---|---|---|---|---|
114 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]] | [X:[], M:[[1, -4, -1], [0, 2, 2], [0, 1, -5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_1M_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | 2*t^2.1 + t^2.8 + t^3.81 + 2*t^3.84 + 2*t^3.87 + t^3.93 + 3*t^4.21 + 2*t^4.9 + t^4.93 + t^5.6 + 2*t^5.91 + 3*t^5.94 + 2*t^5.97 - 3*t^6. - t^6.06 + 4*t^6.31 + t^6.61 + 2*t^6.64 + 2*t^6.67 + t^6.73 + 2*t^7.01 - 2*t^7.07 - 2*t^7.1 - t^7.13 + t^7.61 + 2*t^7.64 + 4*t^7.67 + 4*t^7.7 + 2*t^7.73 + t^7.79 + t^7.86 + 3*t^8.01 + 4*t^8.04 + 2*t^8.07 - 6*t^8.1 - 2*t^8.16 + t^8.4 + 5*t^8.41 + 2*t^8.71 + 3*t^8.74 + 2*t^8.77 - 3*t^8.8 - 2*t^8.83 - t^8.86 - t^4.07/y - (2*t^6.17)/y + t^7.21/y + (2*t^7.9)/y + (2*t^7.96)/y - (3*t^8.27)/y + (2*t^8.91)/y + (4*t^8.94)/y + (4*t^8.97)/y - t^4.07*y - 2*t^6.17*y + t^7.21*y + 2*t^7.9*y + 2*t^7.96*y - 3*t^8.27*y + 2*t^8.91*y + 4*t^8.94*y + 4*t^8.97*y | (g2*t^2.1)/g3^5 + (g1*t^2.1)/(g2^4*g3) + g2^3*g3^3*t^2.8 + g1*g2^3*t^3.81 + (g2^5*t^3.84)/g3 + g1*g3^3*t^3.84 + 2*g2^2*g3^2*t^3.87 + (g2*g3^4*t^3.93)/g1 + (g2^2*t^4.21)/g3^10 + (g1*t^4.21)/(g2^3*g3^6) + (g1^2*t^4.21)/(g2^8*g3^2) + (g2^4*t^4.9)/g3^2 + (g1*g3^2*t^4.9)/g2 + g2*g3*t^4.93 + g2^6*g3^6*t^5.6 + (g1*g2^4*t^5.91)/g3^5 + (g1^2*t^5.91)/(g2*g3) + (g2^6*t^5.94)/g3^6 + (g1*g2*t^5.94)/g3^2 + (g1^2*g3^2*t^5.94)/g2^4 + (g2^3*t^5.97)/g3^3 + (g1*g3*t^5.97)/g2^2 - 3*t^6. - (g3^2*t^6.06)/(g1*g2) + (g2^3*t^6.31)/g3^15 + (g1*t^6.31)/(g2^2*g3^11) + (g1^2*t^6.31)/(g2^7*g3^7) + (g1^3*t^6.31)/(g2^12*g3^3) + g1*g2^6*g3^3*t^6.61 + g2^8*g3^2*t^6.64 + g1*g2^3*g3^6*t^6.64 + 2*g2^5*g3^5*t^6.67 + (g2^4*g3^7*t^6.73)/g1 + (g2^5*t^7.01)/g3^7 + (g1^2*g3*t^7.01)/g2^5 - (2*t^7.07)/(g2*g3) - (g2*t^7.1)/(g1*g3^2) - (g3^2*t^7.1)/g2^4 - (g3*t^7.13)/(g1*g2^2) + g1^2*g2^6*t^7.61 + (g1*g2^8*t^7.64)/g3 + g1^2*g2^3*g3^3*t^7.64 + (g2^10*t^7.67)/g3^2 + 2*g1*g2^5*g3^2*t^7.67 + g1^2*g3^6*t^7.67 + 2*g2^7*g3*t^7.7 + 2*g1*g2^2*g3^5*t^7.7 + 2*g2^4*g3^4*t^7.73 + (g2^3*g3^6*t^7.79)/g1 + (g2^2*g3^8*t^7.86)/g1^2 + (g1*g2^5*t^8.01)/g3^10 + (g1^2*t^8.01)/g3^6 + (g1^3*t^8.01)/(g2^5*g3^2) + (g2^7*t^8.04)/g3^11 + (g1*g2^2*t^8.04)/g3^7 + (g1^2*t^8.04)/(g2^3*g3^3) + (g1^3*g3*t^8.04)/g2^8 + (g1^2*t^8.07)/g2^6 + (g2^4*t^8.07)/g3^8 - (3*g2*t^8.1)/g3^5 - (3*g1*t^8.1)/(g2^4*g3) - t^8.16/(g1*g3^3) - (g3*t^8.16)/g2^5 + g2^9*g3^9*t^8.4 + (g2^4*t^8.41)/g3^20 + (g1*t^8.41)/(g2*g3^16) + (g1^2*t^8.41)/(g2^6*g3^12) + (g1^3*t^8.41)/(g2^11*g3^8) + (g1^4*t^8.41)/(g2^16*g3^4) + (g1*g2^7*t^8.71)/g3^2 + g1^2*g2^2*g3^2*t^8.71 + (g2^9*t^8.74)/g3^3 + g1*g2^4*g3*t^8.74 + (g1^2*g3^5*t^8.74)/g2 + g2^6*t^8.77 + g1*g2*g3^4*t^8.77 - 3*g2^3*g3^3*t^8.8 - (g2^5*g3^2*t^8.83)/g1 - g3^6*t^8.83 - (g2^2*g3^5*t^8.86)/g1 - t^4.07/(g2*g3*y) - t^6.17/(g3^6*y) - (g1*t^6.17)/(g2^5*g3^2*y) + (g1*t^7.21)/(g2^3*g3^6*y) + (g2^4*t^7.9)/(g3^2*y) + (g1*g3^2*t^7.9)/(g2*y) + (g2^3*t^7.96)/(g1*y) + (g3^4*t^7.96)/(g2^2*y) - (g2*t^8.27)/(g3^11*y) - (g1*t^8.27)/(g2^4*g3^7*y) - (g1^2*t^8.27)/(g2^9*g3^3*y) + (g1*g2^4*t^8.91)/(g3^5*y) + (g1^2*t^8.91)/(g2*g3*y) + (g2^6*t^8.94)/(g3^6*y) + (2*g1*g2*t^8.94)/(g3^2*y) + (g1^2*g3^2*t^8.94)/(g2^4*y) + (2*g2^3*t^8.97)/(g3^3*y) + (2*g1*g3*t^8.97)/(g2^2*y) - (t^4.07*y)/(g2*g3) - (t^6.17*y)/g3^6 - (g1*t^6.17*y)/(g2^5*g3^2) + (g1*t^7.21*y)/(g2^3*g3^6) + (g2^4*t^7.9*y)/g3^2 + (g1*g3^2*t^7.9*y)/g2 + (g2^3*t^7.96*y)/g1 + (g3^4*t^7.96*y)/g2^2 - (g2*t^8.27*y)/g3^11 - (g1*t^8.27*y)/(g2^4*g3^7) - (g1^2*t^8.27*y)/(g2^9*g3^3) + (g1*g2^4*t^8.91*y)/g3^5 + (g1^2*t^8.91*y)/(g2*g3) + (g2^6*t^8.94*y)/g3^6 + (2*g1*g2*t^8.94*y)/g3^2 + (g1^2*g3^2*t^8.94*y)/g2^4 + (2*g2^3*t^8.97*y)/g3^3 + (2*g1*g3*t^8.97*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
181 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7963 | 0.8144 | [X:[], M:[0.6913, 1.2958, 0.7078, 0.7007], q:[0.8352, 0.8127], qb:[0.4736, 0.4701], phi:[0.3521]] | t^2.07 + t^2.1 + t^2.12 + t^2.83 + t^3.85 + t^3.86 + 2*t^3.89 + t^3.92 + t^4.15 + t^4.18 + 2*t^4.2 + t^4.23 + t^4.25 + t^4.9 + t^4.93 + t^4.94 + t^4.95 + t^5.66 + t^5.92 + t^5.93 + t^5.95 + 2*t^5.96 + t^5.98 + 2*t^5.99 - 3*t^6. - t^4.06/y - t^4.06*y | detail | |
180 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ | 0.6484 | 0.7953 | 0.8152 | [X:[], M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | 3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. - t^4.05/y - t^4.05*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 |
---|---|---|---|---|---|---|---|---|---|
74 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.6079 | 0.7214 | 0.8426 | [X:[], M:[0.6995, 1.2812], q:[0.8348, 0.8058], qb:[0.4657, 0.456], phi:[0.3594]] | t^2.1 + t^2.77 + t^3.79 + 2*t^3.81 + 2*t^3.84 + 2*t^3.87 + t^4.2 + t^4.86 + t^4.92 + t^5.53 + t^5.88 + 2*t^5.91 + t^5.94 - 3*t^6. - t^4.08/y - t^4.08*y | detail |