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 |
---|---|---|---|---|---|---|---|---|---|
55167 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_5M_6$ | 0.6409 | 0.796 | 0.8052 | [X:[], M:[1.1989, 1.0441, 0.8011, 0.8785, 1.1215, 0.8785], q:[0.4392, 0.3618], qb:[0.5166, 0.7597], phi:[0.4807]] | [X:[], M:[[10], [-38], [-10], [14], [-14], [14]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1^4$ | . | -2 | t^2.4 + 2*t^2.64 + t^2.88 + t^3.13 + t^3.6 + t^3.61 + t^3.83 + t^3.85 + 2*t^4.08 + t^4.31 + t^4.54 + t^4.81 + 2*t^5.04 + 3*t^5.27 + t^5.29 + 2*t^5.52 + t^5.77 - 2*t^6. + 2*t^6.02 + 2*t^6.25 + t^6.26 + t^6.46 + 3*t^6.48 + t^6.5 + 4*t^6.71 + t^6.75 + 2*t^6.94 + t^6.96 + 2*t^7.18 - t^7.19 + t^7.21 + t^7.23 + t^7.43 + t^7.44 + t^7.46 + 3*t^7.67 + 3*t^7.69 + 4*t^7.91 + 3*t^7.92 + t^8.14 + 5*t^8.15 - t^8.17 + t^8.37 + t^8.39 - t^8.4 + t^8.42 + 2*t^8.62 - 6*t^8.64 + 3*t^8.65 + t^8.85 - 2*t^8.87 + t^8.88 + 3*t^8.9 - t^4.44/y - t^7.08/y + t^7.31/y - t^7.33/y + t^7.56/y - t^7.57/y + t^7.81/y + (2*t^8.04)/y + t^8.27/y + t^8.29/y + (2*t^8.52)/y + t^8.54/y + (2*t^8.77)/y - t^4.44*y - t^7.08*y + t^7.31*y - t^7.33*y + t^7.56*y - t^7.57*y + t^7.81*y + 2*t^8.04*y + t^8.27*y + t^8.29*y + 2*t^8.52*y + t^8.54*y + 2*t^8.77*y | t^2.4/g1^10 + 2*g1^14*t^2.64 + t^2.88/g1^12 + t^3.13/g1^38 + g1^10*t^3.6 + t^3.61/g1^40 + g1^34*t^3.83 + t^3.85/g1^16 + 2*g1^8*t^4.08 + g1^32*t^4.31 + g1^56*t^4.54 + t^4.81/g1^20 + 2*g1^4*t^5.04 + 3*g1^28*t^5.27 + t^5.29/g1^22 + 2*g1^2*t^5.52 + t^5.77/g1^24 - 2*t^6. + (2*t^6.02)/g1^50 + (2*t^6.25)/g1^26 + t^6.26/g1^76 + g1^48*t^6.46 + (3*t^6.48)/g1^2 + t^6.5/g1^52 + 4*g1^22*t^6.71 + t^6.75/g1^78 + 2*g1^46*t^6.94 + t^6.96/g1^4 + 2*g1^70*t^7.18 - g1^20*t^7.19 + t^7.21/g1^30 + t^7.23/g1^80 + g1^44*t^7.43 + t^7.44/g1^6 + t^7.46/g1^56 + 3*g1^18*t^7.67 + (3*t^7.69)/g1^32 + 4*g1^42*t^7.91 + (3*t^7.92)/g1^8 + g1^66*t^8.14 + 5*g1^16*t^8.15 - t^8.17/g1^34 + g1^90*t^8.37 + g1^40*t^8.39 - t^8.4/g1^10 + t^8.42/g1^60 + 2*g1^64*t^8.62 - 6*g1^14*t^8.64 + (3*t^8.65)/g1^36 + g1^88*t^8.85 - 2*g1^38*t^8.87 + t^8.88/g1^12 + (3*t^8.9)/g1^62 - t^4.44/(g1^6*y) - (g1^8*t^7.08)/y + (g1^32*t^7.31)/y - t^7.33/(g1^18*y) + (g1^6*t^7.56)/y - t^7.57/(g1^44*y) + t^7.81/(g1^20*y) + (2*g1^4*t^8.04)/y + (g1^28*t^8.27)/y + t^8.29/(g1^22*y) + (2*g1^2*t^8.52)/y + t^8.54/(g1^48*y) + (2*t^8.77)/(g1^24*y) - (t^4.44*y)/g1^6 - g1^8*t^7.08*y + g1^32*t^7.31*y - (t^7.33*y)/g1^18 + g1^6*t^7.56*y - (t^7.57*y)/g1^44 + (t^7.81*y)/g1^20 + 2*g1^4*t^8.04*y + g1^28*t^8.27*y + (t^8.29*y)/g1^22 + 2*g1^2*t^8.52*y + (t^8.54*y)/g1^48 + (2*t^8.77*y)/g1^24 |
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 |
---|---|---|---|---|---|---|---|---|
56811 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_5M_6$ + $ M_1M_7$ | 0.6574 | 0.825 | 0.7969 | [X:[], M:[1.2015, 1.0344, 0.7985, 0.8821, 1.1179, 0.8821, 0.7985], q:[0.441, 0.3575], qb:[0.5246, 0.7604], phi:[0.4791]] | 2*t^2.4 + 2*t^2.65 + t^2.87 + t^3.1 + t^3.58 + t^3.83 + t^3.86 + 2*t^4.08 + t^4.33 + t^4.58 + 3*t^4.79 + 4*t^5.04 + 2*t^5.27 + 3*t^5.29 + t^5.5 + 2*t^5.52 + t^5.75 + 3*t^5.98 - 3*t^6. - t^4.44/y - t^4.44*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 |
---|---|---|---|---|---|---|---|---|---|
47054 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. - t^4.43/y - t^4.43*y | detail |