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 |
---|---|---|---|---|---|---|---|---|---|
1595 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_7$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4M_6$, $ M_4M_7$, $ M_1M_6$, $ M_1M_7$, $ M_2M_6$, $ M_2M_7$ | . | -2 | 2*t^2.5 + t^2.92 + t^3.08 + t^3.29 + t^3.65 + t^3.7 + t^3.86 + t^4.02 + t^4.07 + t^4.28 + t^4.44 + t^4.85 + 3*t^5.01 + t^5.43 + t^5.58 + 2*t^5.79 - 2*t^6. + 2*t^6.16 + 2*t^6.21 + 2*t^6.37 - t^6.42 + 2*t^6.52 + t^6.57 + t^6.62 + t^6.73 + t^6.78 + 3*t^6.94 + t^7.1 + t^7.31 + 2*t^7.36 + t^7.41 + 4*t^7.51 + t^7.56 + t^7.67 + 2*t^7.72 + t^7.88 + t^7.93 + t^7.98 + t^8.04 + 2*t^8.09 + t^8.14 + 3*t^8.3 - t^8.35 + t^8.45 - 4*t^8.5 + t^8.56 + 2*t^8.66 + 2*t^8.71 + 3*t^8.87 - 3*t^8.92 - t^4.36/y - t^6.86/y + t^7.85/y + t^8.01/y + (2*t^8.43)/y + (2*t^8.58)/y + (2*t^8.79)/y - t^4.36*y - t^6.86*y + t^7.85*y + t^8.01*y + 2*t^8.43*y + 2*t^8.58*y + 2*t^8.79*y | (2*t^2.5)/g1^14 + g1^22*t^2.92 + t^3.08/g1^22 + t^3.29/g1^4 + t^3.65/g1^30 + g1^32*t^3.7 + t^3.86/g1^12 + t^4.02/g1^56 + g1^6*t^4.07 + g1^24*t^4.28 + t^4.44/g1^20 + g1^16*t^4.85 + (3*t^5.01)/g1^28 + g1^8*t^5.43 + t^5.58/g1^36 + (2*t^5.79)/g1^18 - 2*t^6. + (2*t^6.16)/g1^44 + 2*g1^18*t^6.21 + (2*t^6.37)/g1^26 - g1^36*t^6.42 + (2*t^6.52)/g1^70 + t^6.57/g1^8 + g1^54*t^6.62 + t^6.73/g1^52 + g1^10*t^6.78 + (3*t^6.94)/g1^34 + t^7.1/g1^78 + t^7.31/g1^60 + 2*g1^2*t^7.36 + g1^64*t^7.41 + (4*t^7.51)/g1^42 + g1^20*t^7.56 + t^7.67/g1^86 + (2*t^7.72)/g1^24 + t^7.88/g1^68 + t^7.93/g1^6 + g1^56*t^7.98 + t^8.04/g1^112 + (2*t^8.09)/g1^50 + g1^12*t^8.14 + (3*t^8.3)/g1^32 - g1^30*t^8.35 + t^8.45/g1^76 - (4*t^8.5)/g1^14 + g1^48*t^8.56 + (2*t^8.66)/g1^58 + 2*g1^4*t^8.71 + (3*t^8.87)/g1^40 - 3*g1^22*t^8.92 - (g1^2*t^4.36)/y - t^6.86/(g1^12*y) + (g1^16*t^7.85)/y + t^8.01/(g1^28*y) + (2*g1^8*t^8.43)/y + (2*t^8.58)/(g1^36*y) + (2*t^8.79)/(g1^18*y) - g1^2*t^4.36*y - (t^6.86*y)/g1^12 + g1^16*t^7.85*y + (t^8.01*y)/g1^28 + 2*g1^8*t^8.43*y + (2*t^8.58*y)/g1^36 + (2*t^8.79*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
3978 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6715 | 0.835 | 0.8043 | [X:[1.3557], M:[1.0291, 1.0962, 1.1633, 0.9709, 0.6443, 0.8367, 0.8367, 0.7114], q:[0.7741, 0.3892], qb:[0.5816, 0.4475], phi:[0.4519]] | t^2.13 + 2*t^2.51 + t^2.91 + t^3.09 + t^3.29 + t^3.66 + t^3.69 + t^4.04 + t^4.07 + 2*t^4.27 + t^4.44 + 2*t^4.64 + t^4.85 + 3*t^5.02 + t^5.05 + t^5.22 + 2*t^5.42 + t^5.6 + 3*t^5.8 + t^5.83 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
3977 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ + $ M_8\phi_1q_2^2$ | 0.6701 | 0.8325 | 0.8049 | [X:[1.36], M:[1.0135, 1.0934, 1.1732, 0.9865, 0.64, 0.8268, 0.8268, 0.7469], q:[0.7733, 0.3999], qb:[0.5866, 0.4269], phi:[0.4533]] | t^2.24 + 2*t^2.48 + t^2.96 + t^3.04 + t^3.28 + t^3.6 + t^3.84 + t^3.92 + t^4.08 + t^4.32 + t^4.4 + t^4.48 + 2*t^4.72 + t^4.88 + 3*t^4.96 + t^5.2 + t^5.28 + t^5.44 + 2*t^5.52 + 2*t^5.76 + t^5.84 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
1025 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |