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 |
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6485 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1q_1q_2$ | 0.6973 | 0.9012 | 0.7738 | [X:[], M:[1.1923, 0.7461, 0.8077, 1.1307, 0.8693, 1.1307, 0.8077, 0.7693, 0.7077], q:[0.4346, 0.373], qb:[0.7577, 0.4962], phi:[0.4846]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-14], [-10], [40], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_9$, $ M_2$, $ M_8$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_9^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_9$, $ M_8M_9$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_8$, $ M_3M_9$, $ M_7M_9$, $ M_8^2$, $ M_2M_3$, $ M_2M_7$, $ M_3M_8$, $ M_7M_8$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_9q_1\tilde{q}_2$, $ M_9\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_8\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_4M_9$, $ M_6M_9$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_4M_8$, $ M_6M_8$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ M_4M_7$, $ M_6M_7$, $ \phi_1^4$ | . | -3 | t^2.12 + t^2.24 + t^2.31 + 2*t^2.42 + t^2.79 + t^2.91 + 2*t^3.39 + 2*t^4.06 + 2*t^4.25 + t^4.36 + 2*t^4.43 + t^4.48 + 3*t^4.55 + t^4.62 + 2*t^4.66 + 2*t^4.73 + 3*t^4.85 + t^4.92 + 2*t^5.03 + t^5.1 + t^5.15 + 3*t^5.22 + 2*t^5.33 + 2*t^5.52 + t^5.59 + t^5.63 + 3*t^5.7 + 3*t^5.82 - 3*t^6. + t^6.18 + 3*t^6.3 + 3*t^6.37 + 4*t^6.48 + 3*t^6.55 + t^6.6 + 4*t^6.67 + t^6.71 + 2*t^6.74 + 4*t^6.78 + 6*t^6.85 + 2*t^6.9 + t^6.92 + 5*t^6.97 + 4*t^7.04 + 2*t^7.08 + 3*t^7.15 + 2*t^7.22 + 3*t^7.27 + 4*t^7.34 + t^7.38 + t^7.41 + 5*t^7.45 + 2*t^7.52 + 2*t^7.57 + 5*t^7.64 + t^7.71 + 3*t^7.75 + 3*t^7.82 + t^7.87 + t^7.89 + 3*t^7.94 + 4*t^8.01 + t^8.05 + 2*t^8.12 + t^8.24 - 2*t^8.31 + t^8.38 - 5*t^8.42 + 5*t^8.49 + 2*t^8.54 + 3*t^8.61 + 5*t^8.68 + 5*t^8.72 + 2*t^8.79 + t^8.84 + 4*t^8.86 + 4*t^8.91 + t^8.95 + 6*t^8.98 - t^4.45/y - t^6.58/y - t^6.69/y - t^6.76/y - t^6.88/y + t^7.06/y + t^7.43/y + (4*t^7.55)/y + (2*t^7.66)/y + (2*t^7.73)/y + t^7.92/y + (3*t^8.03)/y + t^8.1/y + (2*t^8.15)/y + (4*t^8.22)/y + (3*t^8.33)/y + (2*t^8.52)/y + (2*t^8.63)/y + (2*t^8.7)/y + (3*t^8.82)/y - t^8.88/y - t^8.93/y - t^4.45*y - t^6.58*y - t^6.69*y - t^6.76*y - t^6.88*y + t^7.06*y + t^7.43*y + 4*t^7.55*y + 2*t^7.66*y + 2*t^7.73*y + t^7.92*y + 3*t^8.03*y + t^8.1*y + 2*t^8.15*y + 4*t^8.22*y + 3*t^8.33*y + 2*t^8.52*y + 2*t^8.63*y + 2*t^8.7*y + 3*t^8.82*y - t^8.88*y - t^8.93*y | g1^16*t^2.12 + t^2.24/g1^34 + g1^40*t^2.31 + (2*t^2.42)/g1^10 + g1^38*t^2.79 + t^2.91/g1^12 + (2*t^3.39)/g1^14 + 2*g1^8*t^4.06 + 2*g1^32*t^4.25 + t^4.36/g1^18 + 2*g1^56*t^4.43 + t^4.48/g1^68 + 3*g1^6*t^4.55 + g1^80*t^4.62 + (2*t^4.66)/g1^44 + 2*g1^30*t^4.73 + (3*t^4.85)/g1^20 + g1^54*t^4.92 + 2*g1^4*t^5.03 + g1^78*t^5.1 + t^5.15/g1^46 + 3*g1^28*t^5.22 + (2*t^5.33)/g1^22 + 2*g1^2*t^5.52 + g1^76*t^5.59 + t^5.63/g1^48 + 3*g1^26*t^5.7 + (3*t^5.82)/g1^24 - 3*t^6. + g1^24*t^6.18 + (3*t^6.3)/g1^26 + 3*g1^48*t^6.37 + (4*t^6.48)/g1^2 + 3*g1^72*t^6.55 + t^6.6/g1^52 + 4*g1^22*t^6.67 + t^6.71/g1^102 + 2*g1^96*t^6.74 + (4*t^6.78)/g1^28 + 6*g1^46*t^6.85 + (2*t^6.9)/g1^78 + g1^120*t^6.92 + (5*t^6.97)/g1^4 + 4*g1^70*t^7.04 + (2*t^7.08)/g1^54 + 3*g1^20*t^7.15 + 2*g1^94*t^7.22 + (3*t^7.27)/g1^30 + 4*g1^44*t^7.34 + t^7.38/g1^80 + g1^118*t^7.41 + (5*t^7.45)/g1^6 + 2*g1^68*t^7.52 + (2*t^7.57)/g1^56 + 5*g1^18*t^7.64 + g1^92*t^7.71 + (3*t^7.75)/g1^32 + 3*g1^42*t^7.82 + t^7.87/g1^82 + g1^116*t^7.89 + (3*t^7.94)/g1^8 + 4*g1^66*t^8.01 + t^8.05/g1^58 + 2*g1^16*t^8.12 + t^8.24/g1^34 - 2*g1^40*t^8.31 + g1^114*t^8.38 - (5*t^8.42)/g1^10 + 5*g1^64*t^8.49 + (2*t^8.54)/g1^60 + 3*g1^14*t^8.61 + 5*g1^88*t^8.68 + (5*t^8.72)/g1^36 + 2*g1^38*t^8.79 + t^8.84/g1^86 + 4*g1^112*t^8.86 + (4*t^8.91)/g1^12 + t^8.95/g1^136 + 6*g1^62*t^8.98 - t^4.45/(g1^6*y) - (g1^10*t^6.58)/y - t^6.69/(g1^40*y) - (g1^34*t^6.76)/y - t^6.88/(g1^16*y) + (g1^8*t^7.06)/y + (g1^56*t^7.43)/y + (4*g1^6*t^7.55)/y + (2*t^7.66)/(g1^44*y) + (2*g1^30*t^7.73)/y + (g1^54*t^7.92)/y + (3*g1^4*t^8.03)/y + (g1^78*t^8.1)/y + (2*t^8.15)/(g1^46*y) + (4*g1^28*t^8.22)/y + (3*t^8.33)/(g1^22*y) + (2*g1^2*t^8.52)/y + (2*t^8.63)/(g1^48*y) + (2*g1^26*t^8.7)/y + (3*t^8.82)/(g1^24*y) - (g1^50*t^8.88)/y - t^8.93/(g1^74*y) - (t^4.45*y)/g1^6 - g1^10*t^6.58*y - (t^6.69*y)/g1^40 - g1^34*t^6.76*y - (t^6.88*y)/g1^16 + g1^8*t^7.06*y + g1^56*t^7.43*y + 4*g1^6*t^7.55*y + (2*t^7.66*y)/g1^44 + 2*g1^30*t^7.73*y + g1^54*t^7.92*y + 3*g1^4*t^8.03*y + g1^78*t^8.1*y + (2*t^8.15*y)/g1^46 + 4*g1^28*t^8.22*y + (3*t^8.33*y)/g1^22 + 2*g1^2*t^8.52*y + (2*t^8.63*y)/g1^48 + 2*g1^26*t^8.7*y + (3*t^8.82*y)/g1^24 - g1^50*t^8.88*y - (t^8.93*y)/g1^74 |
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 |
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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 |
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4883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.677 | 0.8625 | 0.7849 | [X:[], M:[1.1933, 0.7428, 0.8067, 1.1294, 0.8706, 1.1294, 0.8067, 0.7732], q:[0.4353, 0.3714], qb:[0.758, 0.4993], phi:[0.484]] | t^2.23 + t^2.32 + 2*t^2.42 + t^2.8 + t^2.9 + 2*t^3.39 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.46 + t^4.55 + t^4.64 + 2*t^4.65 + 2*t^4.74 + 3*t^4.84 + t^5.03 + t^5.12 + t^5.13 + 3*t^5.22 + 2*t^5.32 + t^5.61 + t^5.62 + 3*t^5.71 + 3*t^5.81 - 3*t^6. - t^4.45/y - t^4.45*y | detail |