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 |
---|---|---|---|---|---|---|---|---|---|
1180 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4M_6$ | 0.65 | 0.7847 | 0.8283 | [X:[], M:[1.0499, 1.1063, 0.9718, 0.7375, 0.9501, 1.2625], q:[0.7766, 0.4078], qb:[0.5423, 0.4859], phi:[0.4469]] | [X:[], M:[[32], [-12], [22], [-8], [-32], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$ | . | -2 | t^2.68 + t^2.85 + t^2.92 + t^3.32 + t^3.55 + 2*t^3.79 + t^3.96 + t^4.02 + t^4.19 + t^4.26 + t^4.43 + t^4.59 + t^5.36 + t^5.53 + t^5.7 - 2*t^6. + 2*t^6.47 + 2*t^6.64 + 2*t^6.7 + t^6.81 + 2*t^6.87 + t^6.94 + t^7.04 + 2*t^7.11 + 2*t^7.28 + t^7.34 + t^7.44 + t^7.51 + 2*t^7.57 + t^7.74 + 2*t^7.81 + t^7.91 + 2*t^7.98 + 3*t^8.04 + t^8.15 + 2*t^8.21 + t^8.28 + 3*t^8.38 - t^8.45 + 2*t^8.55 - 2*t^8.68 + t^8.75 + t^8.79 - 2*t^8.85 - 3*t^8.92 - t^4.34/y - t^7.26/y + t^7.43/y + t^8.53/y + t^8.6/y + t^8.77/y - t^4.34*y - t^7.26*y + t^7.43*y + t^8.53*y + t^8.6*y + t^8.77*y | g1^12*t^2.68 + t^2.85/g1^32 + g1^22*t^2.92 + t^3.32/g1^12 + t^3.55/g1^2 + 2*g1^8*t^3.79 + t^3.96/g1^36 + g1^18*t^4.02 + t^4.19/g1^26 + g1^28*t^4.26 + t^4.43/g1^16 + t^4.59/g1^60 + g1^24*t^5.36 + t^5.53/g1^20 + t^5.7/g1^64 - 2*t^6. + 2*g1^20*t^6.47 + (2*t^6.64)/g1^24 + 2*g1^30*t^6.7 + t^6.81/g1^68 + (2*t^6.87)/g1^14 + g1^40*t^6.94 + t^7.04/g1^58 + (2*t^7.11)/g1^4 + (2*t^7.28)/g1^48 + g1^6*t^7.34 + t^7.44/g1^92 + t^7.51/g1^38 + 2*g1^16*t^7.57 + t^7.74/g1^28 + 2*g1^26*t^7.81 + t^7.91/g1^72 + (2*t^7.98)/g1^18 + 3*g1^36*t^8.04 + t^8.15/g1^62 + (2*t^8.21)/g1^8 + g1^46*t^8.28 + (3*t^8.38)/g1^52 - g1^2*t^8.45 + (2*t^8.55)/g1^96 - 2*g1^12*t^8.68 + g1^66*t^8.75 + t^8.79/g1^86 - (2*t^8.85)/g1^32 - 3*g1^22*t^8.92 - (g1^6*t^4.34)/y - (g1^28*t^7.26)/y + t^7.43/(g1^16*y) + t^8.53/(g1^20*y) + (g1^34*t^8.6)/y + t^8.77/(g1^10*y) - g1^6*t^4.34*y - g1^28*t^7.26*y + (t^7.43*y)/g1^16 + (t^8.53*y)/g1^20 + g1^34*t^8.6*y + (t^8.77*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
2214 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6708 | 0.8256 | 0.8125 | [X:[], M:[1.0465, 1.1076, 0.9695, 0.7384, 0.9535, 1.2616, 0.6773], q:[0.7769, 0.4077], qb:[0.5458, 0.4847], phi:[0.4462]] | t^2.03 + t^2.68 + t^2.86 + t^2.91 + t^3.32 + t^3.55 + 2*t^3.78 + t^4.02 + t^4.06 + t^4.2 + t^4.25 + t^4.43 + t^4.61 + t^4.71 + t^4.89 + t^4.94 + 2*t^5.35 + t^5.54 + t^5.59 + t^5.72 + 2*t^5.82 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
719 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ | 0.6695 | 0.8209 | 0.8156 | [X:[], M:[1.0544, 1.1046, 0.9749, 0.7364, 0.9456], q:[0.7762, 0.4079], qb:[0.5377, 0.4874], phi:[0.4477]] | t^2.21 + t^2.69 + t^2.84 + t^2.92 + t^3.31 + t^3.55 + t^3.79 + t^3.94 + t^4.03 + t^4.18 + t^4.27 + 2*t^4.42 + t^4.57 + t^4.9 + t^5.05 + t^5.13 + t^5.37 + 2*t^5.52 + t^5.67 + t^5.76 - t^6. - t^4.34/y - t^4.34*y | detail |