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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46484 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ | 0.6204 | 0.8049 | 0.7708 | [X:[], M:[0.9515, 0.8151, 0.8546, 1.0485], q:[0.7379, 0.3106], qb:[0.447, 0.4076], phi:[0.5242]] | [X:[], M:[[-4], [26], [-12], [4]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \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$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.15 + t^2.27 + t^2.45 + 2*t^2.56 + 2*t^3.15 + t^3.44 + t^3.73 + t^3.85 + t^4.02 + t^4.14 + t^4.25 + t^4.31 + t^4.43 + t^4.55 + t^4.6 + 3*t^4.72 + 2*t^4.84 + t^4.89 + 2*t^5.01 + 3*t^5.13 + 2*t^5.3 + 2*t^5.42 + 2*t^5.59 + 3*t^5.71 + t^5.88 + 2*t^6.17 + 4*t^6.29 + 2*t^6.41 + 2*t^6.46 + t^6.53 + 4*t^6.58 + 2*t^6.7 + t^6.75 + 3*t^6.82 + 3*t^6.87 + 2*t^6.99 + t^7.05 + t^7.11 + 4*t^7.16 + 4*t^7.28 + t^7.34 + 4*t^7.4 + 4*t^7.45 + 2*t^7.57 + 5*t^7.69 + 3*t^7.75 + 3*t^7.86 + 2*t^7.98 + 3*t^8.04 + t^8.1 + t^8.15 + 2*t^8.27 + 2*t^8.33 + t^8.39 + t^8.45 + t^8.51 - t^8.56 + 3*t^8.62 + 5*t^8.74 + t^8.8 + 3*t^8.85 + 2*t^8.91 + 3*t^8.97 - t^4.57/y - t^7.02/y - t^7.14/y + (2*t^7.43)/y + t^7.6/y + (2*t^7.72)/y + (2*t^7.84)/y + (3*t^8.01)/y + (2*t^8.13)/y + (2*t^8.3)/y + (2*t^8.42)/y + (3*t^8.59)/y + (5*t^8.71)/y + (2*t^8.88)/y - t^4.57*y - t^7.02*y - t^7.14*y + 2*t^7.43*y + t^7.6*y + 2*t^7.72*y + 2*t^7.84*y + 3*t^8.01*y + 2*t^8.13*y + 2*t^8.3*y + 2*t^8.42*y + 3*t^8.59*y + 5*t^8.71*y + 2*t^8.88*y | g1^18*t^2.15 + t^2.27/g1^20 + g1^26*t^2.45 + (2*t^2.56)/g1^12 + 2*g1^4*t^3.15 + g1^12*t^3.44 + g1^20*t^3.73 + t^3.85/g1^18 + g1^28*t^4.02 + t^4.14/g1^10 + t^4.25/g1^48 + g1^36*t^4.31 + t^4.43/g1^2 + t^4.55/g1^40 + g1^44*t^4.6 + 3*g1^6*t^4.72 + (2*t^4.84)/g1^32 + g1^52*t^4.89 + 2*g1^14*t^5.01 + (3*t^5.13)/g1^24 + 2*g1^22*t^5.3 + (2*t^5.42)/g1^16 + 2*g1^30*t^5.59 + (3*t^5.71)/g1^8 + g1^38*t^5.88 + 2*g1^46*t^6.17 + 4*g1^8*t^6.29 + (2*t^6.41)/g1^30 + 2*g1^54*t^6.46 + t^6.53/g1^68 + 4*g1^16*t^6.58 + (2*t^6.7)/g1^22 + g1^62*t^6.75 + (3*t^6.82)/g1^60 + 3*g1^24*t^6.87 + (2*t^6.99)/g1^14 + g1^70*t^7.05 + t^7.11/g1^52 + 4*g1^32*t^7.16 + (4*t^7.28)/g1^6 + g1^78*t^7.34 + (4*t^7.4)/g1^44 + 4*g1^40*t^7.45 + 2*g1^2*t^7.57 + (5*t^7.69)/g1^36 + 3*g1^48*t^7.75 + 3*g1^10*t^7.86 + (2*t^7.98)/g1^28 + 3*g1^56*t^8.04 + t^8.1/g1^66 + g1^18*t^8.15 + (2*t^8.27)/g1^20 + 2*g1^64*t^8.33 + t^8.39/g1^58 + g1^26*t^8.45 + t^8.51/g1^96 - t^8.56/g1^12 + 3*g1^72*t^8.62 + 5*g1^34*t^8.74 + t^8.8/g1^88 + (3*t^8.85)/g1^4 + 2*g1^80*t^8.91 + (3*t^8.97)/g1^42 - (g1^2*t^4.57)/y - (g1^28*t^7.02)/y - t^7.14/(g1^10*y) + (2*t^7.43)/(g1^2*y) + (g1^44*t^7.6)/y + (2*g1^6*t^7.72)/y + (2*t^7.84)/(g1^32*y) + (3*g1^14*t^8.01)/y + (2*t^8.13)/(g1^24*y) + (2*g1^22*t^8.3)/y + (2*t^8.42)/(g1^16*y) + (3*g1^30*t^8.59)/y + (5*t^8.71)/(g1^8*y) + (2*g1^38*t^8.88)/y - g1^2*t^4.57*y - g1^28*t^7.02*y - (t^7.14*y)/g1^10 + (2*t^7.43*y)/g1^2 + g1^44*t^7.6*y + 2*g1^6*t^7.72*y + (2*t^7.84*y)/g1^32 + 3*g1^14*t^8.01*y + (2*t^8.13*y)/g1^24 + 2*g1^22*t^8.3*y + (2*t^8.42*y)/g1^16 + 3*g1^30*t^8.59*y + (5*t^8.71*y)/g1^8 + 2*g1^38*t^8.88*y |
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 |
---|---|---|---|---|---|---|---|---|
47064 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ + $ M_3M_5$ | 0.6079 | 0.7838 | 0.7756 | [X:[], M:[0.9536, 0.8018, 0.8607, 1.0464, 1.1393], q:[0.7384, 0.308], qb:[0.4598, 0.4009], phi:[0.5232]] | t^2.13 + t^2.3 + t^2.41 + t^2.58 + 2*t^3.14 + 2*t^3.42 + t^3.7 + t^3.87 + t^3.98 + t^4.15 + t^4.25 + t^4.33 + t^4.43 + t^4.53 + t^4.61 + 2*t^4.71 + t^4.81 + t^4.89 + t^4.99 + t^5.16 + 2*t^5.27 + 2*t^5.44 + 3*t^5.54 + 2*t^5.72 + 2*t^5.82 - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
46122 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ | 0.625 | 0.8125 | 0.7692 | [X:[], M:[0.9507, 0.8203, 0.8521], q:[0.7377, 0.3116], qb:[0.442, 0.4102], phi:[0.5246]] | t^2.17 + t^2.26 + t^2.46 + 2*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.74 + t^3.83 + t^4.03 + t^4.13 + t^4.23 + t^4.33 + t^4.43 + t^4.52 + t^4.63 + 3*t^4.72 + 2*t^4.82 + t^4.92 + 3*t^5.02 + 4*t^5.11 + 2*t^5.31 + 3*t^5.41 + t^5.61 + 2*t^5.7 + t^5.9 + t^6. - t^4.57/y - t^4.57*y | detail |