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 |
---|---|---|---|---|---|---|---|---|---|
55482 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ + $ M_5M_7$ | 0.7357 | 0.9145 | 0.8046 | [X:[], M:[0.8378, 0.8102, 0.9724, 1.0, 1.0276, 0.7826, 0.9724], q:[0.5673, 0.5949], qb:[0.6225, 0.4051], phi:[0.4525]] | [X:[], M:[[1, 6], [0, 4], [-1, -2], [0, 0], [1, 2], [-1, 2], [-1, -2]], q:[[-1, -4], [0, -2]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1^2$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_1M_6$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_3M_6$, $ M_6M_7$, $ M_2M_3$, $ M_4M_6$, $ M_2M_7$, $ M_1M_3$, $ M_2M_4$, $ M_1M_7$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_4\phi_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -3 | t^2.35 + t^2.43 + t^2.51 + t^2.72 + 2*t^2.92 + t^3. + t^3.79 + t^4.27 + t^4.36 + t^4.44 + t^4.7 + t^4.76 + t^4.78 + t^4.84 + 2*t^4.86 + 2*t^4.93 + t^4.94 + t^5.01 + t^5.03 + t^5.06 + t^5.09 + t^5.15 + t^5.23 + 2*t^5.27 + 2*t^5.35 + 3*t^5.43 + 2*t^5.63 + t^5.72 + 2*t^5.83 - 3*t^6. - 2*t^6.08 + t^6.14 - t^6.17 + t^6.22 + t^6.3 - t^6.49 + t^6.5 - 2*t^6.57 + t^6.62 - t^6.65 + 3*t^6.71 + 3*t^6.79 + t^6.87 + t^6.95 + t^6.99 + t^7.04 + t^7.11 + t^7.13 + t^7.16 + 3*t^7.19 + 2*t^7.21 + 4*t^7.27 + 2*t^7.29 + 3*t^7.36 + 2*t^7.37 + t^7.41 + 2*t^7.44 + t^7.46 + t^7.48 + t^7.49 + t^7.52 + t^7.54 + 3*t^7.58 + 3*t^7.61 + t^7.64 + t^7.66 + 2*t^7.68 + 2*t^7.7 + t^7.74 + 2*t^7.76 + 4*t^7.78 + t^7.81 + 2*t^7.84 + 2*t^7.86 + 2*t^7.94 + 2*t^7.98 - t^8.05 + 3*t^8.06 - t^8.13 + 4*t^8.15 + 2*t^8.18 - 2*t^8.21 + t^8.23 + t^8.27 - t^8.29 - t^8.35 - t^8.38 - t^8.41 - 5*t^8.43 + t^8.48 - t^8.5 - 6*t^8.51 + 3*t^8.55 + t^8.57 - t^8.58 - 2*t^8.6 + t^8.63 + 2*t^8.65 - t^8.68 - t^8.72 + t^8.73 + 2*t^8.75 - t^8.8 + t^8.81 - 2*t^8.83 + t^8.85 - 9*t^8.92 + t^8.93 + t^8.97 - t^4.36/y - t^6.71/y - t^6.79/y - t^6.87/y - t^7.07/y - t^7.27/y + t^7.44/y + t^7.64/y + t^7.78/y + t^7.84/y + t^7.86/y + t^7.93/y + t^7.94/y + t^8.01/y + t^8.06/y + t^8.15/y + t^8.23/y + (2*t^8.27)/y + (3*t^8.35)/y + (3*t^8.43)/y + t^8.51/y + (2*t^8.63)/y + t^8.72/y + t^8.83/y + (2*t^8.92)/y - t^4.36*y - t^6.71*y - t^6.79*y - t^6.87*y - t^7.07*y - t^7.27*y + t^7.44*y + t^7.64*y + t^7.78*y + t^7.84*y + t^7.86*y + t^7.93*y + t^7.94*y + t^8.01*y + t^8.06*y + t^8.15*y + t^8.23*y + 2*t^8.27*y + 3*t^8.35*y + 3*t^8.43*y + t^8.51*y + 2*t^8.63*y + t^8.72*y + t^8.83*y + 2*t^8.92*y | (g2^2*t^2.35)/g1 + g2^4*t^2.43 + g1*g2^6*t^2.51 + g2^2*t^2.72 + (2*t^2.92)/(g1*g2^2) + t^3. + g2^5*t^3.79 + t^4.27/(g1*g2) + g2*t^4.36 + g1*g2^3*t^4.44 + (g2^4*t^4.7)/g1^2 + t^4.76/(g1^2*g2^7) + (g2^6*t^4.78)/g1 + t^4.84/(g1*g2^5) + 2*g2^8*t^4.86 + (2*t^4.93)/g2^3 + g1*g2^10*t^4.94 + (g1*t^5.01)/g2 + g1^2*g2^12*t^5.03 + (g2^4*t^5.06)/g1 + g1^2*g2*t^5.09 + g2^6*t^5.15 + g1*g2^8*t^5.23 + (2*t^5.27)/g1^2 + (2*g2^2*t^5.35)/g1 + 3*g2^4*t^5.43 + (2*t^5.63)/g1 + g2^2*t^5.72 + (2*t^5.83)/(g1^2*g2^4) - 3*t^6. - 2*g1*g2^2*t^6.08 + (g2^7*t^6.14)/g1 - g1^2*g2^4*t^6.17 + g2^9*t^6.22 + g1*g2^11*t^6.3 - t^6.49/(g1*g2^6) + g2^7*t^6.5 - (2*t^6.57)/g2^4 + (g2*t^6.62)/g1^2 - (g1*t^6.65)/g2^2 + (3*g2^3*t^6.71)/g1 + 3*g2^5*t^6.79 + g1*g2^7*t^6.87 + g1^2*g2^9*t^6.95 + (g2*t^6.99)/g1 + (g2^6*t^7.04)/g1^3 + t^7.11/(g1^3*g2^5) + (g2^8*t^7.13)/g1^2 + g1*g2^5*t^7.16 + (3*t^7.19)/(g1^2*g2^3) + (2*g2^10*t^7.21)/g1 + (4*t^7.27)/(g1*g2) + 2*g2^12*t^7.29 + 3*g2*t^7.36 + 2*g1*g2^14*t^7.37 + (g2^6*t^7.41)/g1^2 + 2*g1*g2^3*t^7.44 + g1^2*g2^16*t^7.46 + t^7.48/(g1^2*g2^5) + (g2^8*t^7.49)/g1 + g1^2*g2^5*t^7.52 + g1^3*g2^18*t^7.54 + 3*g2^10*t^7.58 + (2*g2^2*t^7.61)/g1^3 + g1^3*g2^7*t^7.61 + t^7.64/g2 + g1*g2^12*t^7.66 + (2*t^7.68)/(g1^3*g2^9) + (2*g2^4*t^7.7)/g1^2 + g1^2*g2^14*t^7.74 + (2*t^7.76)/(g1^2*g2^7) + (4*g2^6*t^7.78)/g1 + g1^2*g2^3*t^7.81 + (2*t^7.84)/(g1*g2^5) + 2*g2^8*t^7.86 + 2*g1*g2^10*t^7.94 + (2*g2^2*t^7.98)/g1^2 - t^8.05/(g1^2*g2^9) + (3*g2^4*t^8.06)/g1 - t^8.13/(g1*g2^7) + 4*g2^6*t^8.15 + (2*t^8.18)/(g1^3*g2^2) - (2*t^8.21)/g2^5 + g1*g2^8*t^8.23 + t^8.27/g1^2 - (g1*t^8.29)/g2^3 - (g2^2*t^8.35)/g1 - (g1^2*t^8.38)/g2 - t^8.41/(g1*g2^9) - 5*g2^4*t^8.43 + (g2^9*t^8.48)/g1^2 - t^8.5/g2^7 - 6*g1*g2^6*t^8.51 + (3*t^8.55)/(g1^2*g2^2) + (g2^11*t^8.57)/g1 - (g1*t^8.58)/g2^5 - 2*g1^2*g2^8*t^8.6 + t^8.63/g1 + 2*g2^13*t^8.65 - g1^3*g2^10*t^8.68 - g2^2*t^8.72 + g1*g2^15*t^8.73 + (2*t^8.75)/(g1^3*g2^6) - g1*g2^4*t^8.8 + g1^2*g2^17*t^8.81 - (2*t^8.83)/(g1^2*g2^4) + (g2^9*t^8.85)/g1 - (9*t^8.92)/(g1*g2^2) + g2^11*t^8.93 + (g2^3*t^8.97)/g1^3 - (g2*t^4.36)/y - (g2^3*t^6.71)/(g1*y) - (g2^5*t^6.79)/y - (g1*g2^7*t^6.87)/y - (g2^3*t^7.07)/y - t^7.27/(g1*g2*y) + (g1*g2^3*t^7.44)/y + t^7.64/(g2*y) + (g2^6*t^7.78)/(g1*y) + t^7.84/(g1*g2^5*y) + (g2^8*t^7.86)/y + t^7.93/(g2^3*y) + (g1*g2^10*t^7.94)/y + (g1*t^8.01)/(g2*y) + (g2^4*t^8.06)/(g1*y) + (g2^6*t^8.15)/y + (g1*g2^8*t^8.23)/y + (2*t^8.27)/(g1^2*y) + (3*g2^2*t^8.35)/(g1*y) + (3*g2^4*t^8.43)/y + (g1*g2^6*t^8.51)/y + (2*t^8.63)/(g1*y) + (g2^2*t^8.72)/y + t^8.83/(g1^2*g2^4*y) + (2*t^8.92)/(g1*g2^2*y) - g2*t^4.36*y - (g2^3*t^6.71*y)/g1 - g2^5*t^6.79*y - g1*g2^7*t^6.87*y - g2^3*t^7.07*y - (t^7.27*y)/(g1*g2) + g1*g2^3*t^7.44*y + (t^7.64*y)/g2 + (g2^6*t^7.78*y)/g1 + (t^7.84*y)/(g1*g2^5) + g2^8*t^7.86*y + (t^7.93*y)/g2^3 + g1*g2^10*t^7.94*y + (g1*t^8.01*y)/g2 + (g2^4*t^8.06*y)/g1 + g2^6*t^8.15*y + g1*g2^8*t^8.23*y + (2*t^8.27*y)/g1^2 + (3*g2^2*t^8.35*y)/g1 + 3*g2^4*t^8.43*y + g1*g2^6*t^8.51*y + (2*t^8.63*y)/g1 + g2^2*t^8.72*y + (t^8.83*y)/(g1^2*g2^4) + (2*t^8.92*y)/(g1*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|---|
47111 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[0.8102, 0.8102, 1.0, 1.0, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.5949, 0.4051], phi:[0.4525]] | 3*t^2.43 + t^2.72 + 3*t^3. + t^3.79 + 3*t^4.36 + 6*t^4.86 + 6*t^4.93 + 3*t^5.15 + 7*t^5.43 + 3*t^5.72 - 4*t^6. - t^4.36/y - t^4.36*y | detail |