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 |
---|---|---|---|---|---|---|---|---|---|
45915 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[0.7009, 0.7009, 1.2889], q:[0.4769, 0.8222], qb:[0.8222, 0.4566], phi:[0.3555]] | [X:[], M:[[-4, -3, 1], [-3, -4, 1], [2, 2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_3$ | $\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$ | -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 | (g3*t^2.1)/(g1^3*g2^4) + (g3*t^2.1)/(g1^4*g2^3) + g1^3*g2^3*t^2.8 + (g3^2*t^3.81)/(g1*g2) + g1*g3*t^3.84 + g2*g3*t^3.84 + 2*g1^2*g2^2*t^3.87 + (g1^5*g2^5*t^3.93)/g3^2 + (g3^2*t^4.21)/(g1^6*g2^8) + (g3^2*t^4.21)/(g1^7*g2^7) + (g3^2*t^4.21)/(g1^8*g2^6) + (g3*t^4.9)/g1 + (g3*t^4.9)/g2 + g1*g2*t^4.93 + g1^6*g2^6*t^5.6 + (g3^3*t^5.91)/(g1^4*g2^5) + (g3^3*t^5.91)/(g1^5*g2^4) + (g3^2*t^5.94)/(g1^2*g2^4) + (g3^2*t^5.94)/(g1^3*g2^3) + (g3^2*t^5.94)/(g1^4*g2^2) + (g3*t^5.97)/(g1*g2^2) + (g3*t^5.97)/(g1^2*g2) - 3*t^6. - (g1^3*g2^3*t^6.06)/g3^2 + (g3^3*t^6.31)/(g1^9*g2^12) + (g3^3*t^6.31)/(g1^10*g2^11) + (g3^3*t^6.31)/(g1^11*g2^10) + (g3^3*t^6.31)/(g1^12*g2^9) + g1^2*g2^2*g3^2*t^6.61 + g1^4*g2^3*g3*t^6.64 + g1^3*g2^4*g3*t^6.64 + 2*g1^5*g2^5*t^6.67 + (g1^8*g2^8*t^6.73)/g3^2 + (g3^2*t^7.01)/(g1^3*g2^5) + (g3^2*t^7.01)/(g1^5*g2^3) - (2*t^7.07)/(g1*g2) - (g1*t^7.1)/g3 - (g2*t^7.1)/g3 - (g1^2*g2^2*t^7.13)/g3^2 + (g3^4*t^7.61)/(g1^2*g2^2) + (g3^3*t^7.64)/g1 + (g3^3*t^7.64)/g2 + g1^2*g3^2*t^7.67 + 2*g1*g2*g3^2*t^7.67 + g2^2*g3^2*t^7.67 + 2*g1^3*g2^2*g3*t^7.7 + 2*g1^2*g2^3*g3*t^7.7 + 2*g1^4*g2^4*t^7.73 + (g1^7*g2^7*t^7.79)/g3^2 + (g1^10*g2^10*t^7.86)/g3^4 + (g3^4*t^8.01)/(g1^7*g2^9) + (g3^4*t^8.01)/(g1^8*g2^8) + (g3^4*t^8.01)/(g1^9*g2^7) + (g3^3*t^8.04)/(g1^5*g2^8) + (g3^3*t^8.04)/(g1^6*g2^7) + (g3^3*t^8.04)/(g1^7*g2^6) + (g3^3*t^8.04)/(g1^8*g2^5) + (g3^2*t^8.07)/(g1^4*g2^6) + (g3^2*t^8.07)/(g1^6*g2^4) - (3*g3*t^8.1)/(g1^3*g2^4) - (3*g3*t^8.1)/(g1^4*g2^3) - t^8.16/(g1*g3) - t^8.16/(g2*g3) + g1^9*g2^9*t^8.4 + (g3^4*t^8.41)/(g1^12*g2^16) + (g3^4*t^8.41)/(g1^13*g2^15) + (g3^4*t^8.41)/(g1^14*g2^14) + (g3^4*t^8.41)/(g1^15*g2^13) + (g3^4*t^8.41)/(g1^16*g2^12) + (g3^3*t^8.71)/(g1*g2^2) + (g3^3*t^8.71)/(g1^2*g2) + g3^2*t^8.74 + (g1*g3^2*t^8.74)/g2 + (g2*g3^2*t^8.74)/g1 + g1^2*g2*g3*t^8.77 + g1*g2^2*g3*t^8.77 - 3*g1^3*g2^3*t^8.8 - (g1^5*g2^4*t^8.83)/g3 - (g1^4*g2^5*t^8.83)/g3 - (g1^6*g2^6*t^8.86)/g3^2 - t^4.07/(g1*g2*y) - (g3*t^6.17)/(g1^4*g2^5*y) - (g3*t^6.17)/(g1^5*g2^4*y) + (g3^2*t^7.21)/(g1^7*g2^7*y) + (g3*t^7.9)/(g1*y) + (g3*t^7.9)/(g2*y) + (g1^3*g2^2*t^7.96)/(g3*y) + (g1^2*g2^3*t^7.96)/(g3*y) - (g3^2*t^8.27)/(g1^7*g2^9*y) - (g3^2*t^8.27)/(g1^8*g2^8*y) - (g3^2*t^8.27)/(g1^9*g2^7*y) + (g3^3*t^8.91)/(g1^4*g2^5*y) + (g3^3*t^8.91)/(g1^5*g2^4*y) + (g3^2*t^8.94)/(g1^2*g2^4*y) + (2*g3^2*t^8.94)/(g1^3*g2^3*y) + (g3^2*t^8.94)/(g1^4*g2^2*y) + (2*g3*t^8.97)/(g1*g2^2*y) + (2*g3*t^8.97)/(g1^2*g2*y) - (t^4.07*y)/(g1*g2) - (g3*t^6.17*y)/(g1^4*g2^5) - (g3*t^6.17*y)/(g1^5*g2^4) + (g3^2*t^7.21*y)/(g1^7*g2^7) + (g3*t^7.9*y)/g1 + (g3*t^7.9*y)/g2 + (g1^3*g2^2*t^7.96*y)/g3 + (g1^2*g2^3*t^7.96*y)/g3 - (g3^2*t^8.27*y)/(g1^7*g2^9) - (g3^2*t^8.27*y)/(g1^8*g2^8) - (g3^2*t^8.27*y)/(g1^9*g2^7) + (g3^3*t^8.91*y)/(g1^4*g2^5) + (g3^3*t^8.91*y)/(g1^5*g2^4) + (g3^2*t^8.94*y)/(g1^2*g2^4) + (2*g3^2*t^8.94*y)/(g1^3*g2^3) + (g3^2*t^8.94*y)/(g1^4*g2^2) + (2*g3*t^8.97*y)/(g1*g2^2) + (2*g3*t^8.97*y)/(g1^2*g2) |
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 |
---|---|---|---|---|---|---|---|---|
46013 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.628 | 0.7571 | 0.8294 | [X:[], M:[0.7014, 0.7124, 1.2913], q:[0.4703, 0.8283], qb:[0.8173, 0.4666], phi:[0.3544]] | t^2.1 + t^2.14 + t^2.81 + t^3.85 + t^3.86 + 2*t^3.87 + 2*t^3.88 + t^4.21 + t^4.24 + t^4.27 + t^4.92 + t^4.94 + t^4.95 + t^5.62 + t^5.96 + t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.06/y - t^4.06*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 |
---|---|---|---|---|---|---|---|---|---|
45860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail |