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 |
---|---|---|---|---|---|---|---|---|---|
522 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ | 0.5919 | 0.7517 | 0.7874 | [X:[], M:[1.0, 1.1138, 0.7725, 0.7725], q:[0.7784, 0.2216], qb:[0.5629, 0.6647], phi:[0.4431]] | [X:[], M:[[0], [-4], [8], [8]], q:[[-1], [1]], qb:[[-11], [3]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ \phi_1^2q_2^4$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$ | . | -2 | 2*t^2.32 + t^2.35 + 2*t^2.66 + t^3. + t^3.34 + t^3.99 + t^4.02 + t^4.33 + 3*t^4.63 + t^4.67 + 2*t^4.71 + 3*t^4.98 + 3*t^5.01 + 6*t^5.32 + t^5.35 + 3*t^5.66 - 2*t^6. + 2*t^6.34 + t^6.38 + 3*t^6.65 + t^6.68 + 4*t^6.95 + 2*t^6.99 + t^7.02 + 2*t^7.06 + 4*t^7.29 + t^7.33 + 4*t^7.37 + 8*t^7.63 + 4*t^7.67 + t^7.71 + 10*t^7.98 + t^8.01 + t^8.05 - 2*t^8.32 - 3*t^8.35 - 4*t^8.66 + 2*t^8.73 + t^8.96 - t^4.33/y - (2*t^6.65)/y + t^7.63/y + (2*t^7.67)/y + (4*t^7.98)/y + (4*t^8.01)/y + (3*t^8.32)/y + t^8.35/y + (4*t^8.66)/y + t^8.69/y - (3*t^8.96)/y - t^4.33*y - 2*t^6.65*y + t^7.63*y + 2*t^7.67*y + 4*t^7.98*y + 4*t^8.01*y + 3*t^8.32*y + t^8.35*y + 4*t^8.66*y + t^8.69*y - 3*t^8.96*y | 2*g1^8*t^2.32 + t^2.35/g1^10 + 2*g1^4*t^2.66 + t^3. + t^3.34/g1^4 + g1^6*t^3.99 + t^4.02/g1^12 + g1^2*t^4.33 + 3*g1^16*t^4.63 + t^4.67/g1^2 + (2*t^4.71)/g1^20 + 3*g1^12*t^4.98 + (3*t^5.01)/g1^6 + 6*g1^8*t^5.32 + t^5.35/g1^10 + 3*g1^4*t^5.66 - 2*t^6. + (2*t^6.34)/g1^4 + t^6.38/g1^22 + 3*g1^10*t^6.65 + t^6.68/g1^8 + 4*g1^24*t^6.95 + 2*g1^6*t^6.99 + t^7.02/g1^12 + (2*t^7.06)/g1^30 + 4*g1^20*t^7.29 + g1^2*t^7.33 + (4*t^7.37)/g1^16 + 8*g1^16*t^7.63 + (4*t^7.67)/g1^2 + t^7.71/g1^20 + 10*g1^12*t^7.98 + t^8.01/g1^6 + t^8.05/g1^24 - 2*g1^8*t^8.32 - (3*t^8.35)/g1^10 - 4*g1^4*t^8.66 + (2*t^8.73)/g1^32 + g1^18*t^8.96 - (g1^2*t^4.33)/y - (2*g1^10*t^6.65)/y + (g1^16*t^7.63)/y + (2*t^7.67)/(g1^2*y) + (4*g1^12*t^7.98)/y + (4*t^8.01)/(g1^6*y) + (3*g1^8*t^8.32)/y + t^8.35/(g1^10*y) + (4*g1^4*t^8.66)/y + t^8.69/(g1^14*y) - (3*g1^18*t^8.96)/y - g1^2*t^4.33*y - 2*g1^10*t^6.65*y + g1^16*t^7.63*y + (2*t^7.67*y)/g1^2 + 4*g1^12*t^7.98*y + (4*t^8.01*y)/g1^6 + 3*g1^8*t^8.32*y + (t^8.35*y)/g1^10 + 4*g1^4*t^8.66*y + (t^8.69*y)/g1^14 - 3*g1^18*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
815 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6127 | 0.7931 | 0.7725 | [X:[], M:[1.0, 1.1136, 0.7728, 0.7728, 0.6704], q:[0.7784, 0.2216], qb:[0.5623, 0.6648], phi:[0.4432]] | t^2.01 + 2*t^2.32 + t^2.35 + 2*t^2.66 + t^3. + t^3.34 + 2*t^4.02 + 3*t^4.33 + t^4.36 + 3*t^4.64 + 3*t^4.67 + 2*t^4.7 + 3*t^4.98 + 4*t^5.01 + 6*t^5.32 + 2*t^5.35 + 3*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
814 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.5818 | 0.7347 | 0.7919 | [X:[], M:[1.0, 1.1084, 0.7831, 0.7831, 1.1084], q:[0.7771, 0.2229], qb:[0.5482, 0.6687], phi:[0.4458]] | t^2.31 + 2*t^2.35 + t^2.67 + t^3. + 2*t^3.33 + t^3.98 + t^4.01 + t^4.34 + 2*t^4.63 + t^4.66 + 3*t^4.7 + 2*t^4.99 + t^5.02 + t^5.31 + 4*t^5.35 + t^5.64 + 4*t^5.67 - 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 |
---|---|---|---|---|---|---|---|---|---|
334 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6092 | 0.7784 | 0.7826 | [X:[], M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.19 + t^2.31 + t^2.38 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^3.94 + t^4.37 + t^4.5 + t^4.56 + 2*t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.93 + t^5.06 + 2*t^5.19 + t^5.25 + 2*t^5.31 + t^5.38 + t^5.44 + t^5.49 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail |