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 |
---|---|---|---|---|---|---|---|---|---|
86 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ | 0.6077 | 0.7201 | 0.8439 | [X:[], M:[1.2833, 0.7104], q:[0.8208, 0.8208], qb:[0.4688, 0.4562], phi:[0.3583]] | [X:[], M:[[4, 4], [-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$ | $M_2q_2\tilde{q}_1$ | -2 | t^2.13 + t^2.77 + t^3.81 + 2*t^3.83 + 2*t^3.85 + t^3.87 + t^3.89 + t^4.26 + t^4.91 + t^4.92 + t^5.55 + t^5.94 + t^5.96 - 2*t^6. - t^6.02 - t^6.04 + t^6.39 + t^6.59 + 2*t^6.61 + 2*t^6.62 + t^6.64 + t^6.66 - t^7.06 - 2*t^7.08 - 2*t^7.09 - t^7.11 + t^7.62 + 2*t^7.64 + 4*t^7.66 + 4*t^7.68 + 4*t^7.7 + 2*t^7.72 + 2*t^7.74 + t^7.76 + t^7.78 + t^8.07 + t^8.09 - 2*t^8.13 - t^8.17 + t^8.32 + t^8.52 + t^8.72 + t^8.74 - 2*t^8.77 - 2*t^8.79 - t^8.81 - t^4.08/y - t^6.21/y + t^7.91/y + t^7.94/y - t^8.34/y + t^8.94/y + (2*t^8.96)/y + (2*t^8.98)/y - t^4.08*y - t^6.21*y + t^7.91*y + t^7.94*y - t^8.34*y + t^8.94*y + 2*t^8.96*y + 2*t^8.98*y | t^2.13/(g1^7*g2) + g1^6*g2^6*t^2.77 + (g2^10*t^3.81)/g1^2 + 2*g1*g2^7*t^3.83 + 2*g1^4*g2^4*t^3.85 + g1^7*g2*t^3.87 + (g1^10*t^3.89)/g2^2 + t^4.26/(g1^14*g2^2) + (g2^5*t^4.91)/g1 + g1^2*g2^2*t^4.92 + g1^12*g2^12*t^5.55 + (g2^9*t^5.94)/g1^9 + (g2^6*t^5.96)/g1^6 - 2*t^6. - (g1^3*t^6.02)/g2^3 - (g1^6*t^6.04)/g2^6 + t^6.39/(g1^21*g2^3) + g1^4*g2^16*t^6.59 + 2*g1^7*g2^13*t^6.61 + 2*g1^10*g2^10*t^6.62 + g1^13*g2^7*t^6.64 + g1^16*g2^4*t^6.66 - (g2*t^7.06)/g1^5 - (2*t^7.08)/(g1^2*g2^2) - (2*g1*t^7.09)/g2^5 - (g1^4*t^7.11)/g2^8 + (g2^20*t^7.62)/g1^4 + (2*g2^17*t^7.64)/g1 + 4*g1^2*g2^14*t^7.66 + 4*g1^5*g2^11*t^7.68 + 4*g1^8*g2^8*t^7.7 + 2*g1^11*g2^5*t^7.72 + 2*g1^14*g2^2*t^7.74 + (g1^17*t^7.76)/g2 + (g1^20*t^7.78)/g2^4 + (g2^8*t^8.07)/g1^16 + (g2^5*t^8.09)/g1^13 - (2*t^8.13)/(g1^7*g2) - t^8.17/(g1*g2^7) + g1^18*g2^18*t^8.32 + t^8.52/(g1^28*g2^4) + (g2^15*t^8.72)/g1^3 + g2^12*t^8.74 - 2*g1^6*g2^6*t^8.77 - 2*g1^9*g2^3*t^8.79 - g1^12*t^8.81 - t^4.08/(g1^2*g2^2*y) - t^6.21/(g1^9*g2^3*y) + (g2^5*t^7.91)/(g1*y) + (g1^5*t^7.94)/(g2*y) - t^8.34/(g1^16*g2^4*y) + (g2^9*t^8.94)/(g1^9*y) + (2*g2^6*t^8.96)/(g1^6*y) + (2*g2^3*t^8.98)/(g1^3*y) - (t^4.08*y)/(g1^2*g2^2) - (t^6.21*y)/(g1^9*g2^3) + (g2^5*t^7.91*y)/g1 + (g1^5*t^7.94*y)/g2 - (t^8.34*y)/(g1^16*g2^4) + (g2^9*t^8.94*y)/g1^9 + (2*g2^6*t^8.96*y)/g1^6 + (2*g2^3*t^8.98*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
142 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[1.2843, 0.7157], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail | |
143 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.628 | 0.7571 | 0.8294 | [X:[], M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], 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 | |
1703 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[1.2889, 0.7009, 0.7009], q:[0.8222, 0.8222], qb:[0.4769, 0.4566], phi:[0.3555]] | 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^4.07/y - t^4.07*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 |
---|---|---|---|---|---|---|---|---|---|
59 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ | 0.5876 | 0.6839 | 0.8592 | [X:[], M:[1.274], q:[0.8185, 0.8185], qb:[0.4555, 0.4555], phi:[0.363]] | t^2.73 + 8*t^3.82 + t^4.91 + t^5.47 - 9*t^6. - t^4.09/y - t^4.09*y | detail |