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 |
---|---|---|---|---|---|---|---|---|---|
47063 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_1$ | 0.6499 | 0.8195 | 0.7931 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7434, 0.7434], q:[0.4283, 0.3717], qb:[0.8283, 0.7717], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [0, 0], [0, 0], [2, 0], [1, 1]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_3M_5$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3M_6$, $ M_4M_6$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | 1 | 2*t^2.23 + 3*t^2.4 + 2*t^3.43 + 2*t^3.6 + 3*t^4.46 + 6*t^4.63 + 7*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - 2*t^6.17 + 4*t^6.69 + 12*t^6.86 + 14*t^7.03 + 7*t^7.2 - 4*t^7.37 + 6*t^7.89 + 14*t^8.06 + 8*t^8.23 - 8*t^8.4 - 8*t^8.57 + 5*t^8.92 - t^4.2/y - (2*t^6.43)/y - (2*t^6.6)/y + t^7.46/y + (6*t^7.63)/y + (5*t^7.8)/y + (2*t^7.97)/y + t^8.66/y + (6*t^8.83)/y - t^4.2*y - 2*t^6.43*y - 2*t^6.6*y + t^7.46*y + 6*t^7.63*y + 5*t^7.8*y + 2*t^7.97*y + t^8.66*y + 6*t^8.83*y | g1^2*t^2.23 + g1*g2*t^2.23 + 3*t^2.4 + g1^2*t^3.43 + g1*g2*t^3.43 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + g1^4*t^4.46 + g1^3*g2*t^4.46 + g1^2*g2^2*t^4.46 + 3*g1^2*t^4.63 + 3*g1*g2*t^4.63 + 7*t^4.8 + g1^4*t^5.66 + 2*g1^3*g2*t^5.66 + g1^2*g2^2*t^5.66 + 3*g1^2*t^5.83 + (g1^3*t^5.83)/g2 + 3*g1*g2*t^5.83 + g2^2*t^5.83 - 3*t^6. + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 - t^6.17/g1^2 - t^6.17/(g1*g2) + g1^6*t^6.69 + g1^5*g2*t^6.69 + g1^4*g2^2*t^6.69 + g1^3*g2^3*t^6.69 + 4*g1^4*t^6.86 + 4*g1^3*g2*t^6.86 + 4*g1^2*g2^2*t^6.86 + 6*g1^2*t^7.03 + (g1^3*t^7.03)/g2 + 6*g1*g2*t^7.03 + g2^2*t^7.03 + 9*t^7.2 + (g1^2*t^7.2)/g2^2 - (2*g1*t^7.2)/g2 - (2*g2*t^7.2)/g1 + (g2^2*t^7.2)/g1^2 - (2*t^7.37)/g1^2 - (2*t^7.37)/(g1*g2) + g1^6*t^7.89 + 2*g1^5*g2*t^7.89 + 2*g1^4*g2^2*t^7.89 + g1^3*g2^3*t^7.89 + 3*g1^4*t^8.06 + (g1^5*t^8.06)/g2 + 6*g1^3*g2*t^8.06 + 3*g1^2*g2^2*t^8.06 + g1*g2^3*t^8.06 + 2*g1^2*t^8.23 + (2*g1^3*t^8.23)/g2 + 2*g1*g2*t^8.23 + 2*g2^2*t^8.23 - 12*t^8.4 + (2*g1*t^8.4)/g2 + (2*g2*t^8.4)/g1 - (4*t^8.57)/g1^2 - (4*t^8.57)/(g1*g2) + g1^8*t^8.92 + g1^7*g2*t^8.92 + g1^6*g2^2*t^8.92 + g1^5*g2^3*t^8.92 + g1^4*g2^4*t^8.92 - t^4.2/y - (g1^2*t^6.43)/y - (g1*g2*t^6.43)/y - (2*t^6.6)/y + (g1^3*g2*t^7.46)/y + (3*g1^2*t^7.63)/y + (3*g1*g2*t^7.63)/y + (5*t^7.8)/y + t^7.97/(g1^2*y) + t^7.97/(g1*g2*y) + (g1^3*g2*t^8.66)/y + (2*g1^2*t^8.83)/y + (g1^3*t^8.83)/(g2*y) + (2*g1*g2*t^8.83)/y + (g2^2*t^8.83)/y - t^4.2*y - g1^2*t^6.43*y - g1*g2*t^6.43*y - 2*t^6.6*y + g1^3*g2*t^7.46*y + 3*g1^2*t^7.63*y + 3*g1*g2*t^7.63*y + 5*t^7.8*y + (t^7.97*y)/g1^2 + (t^7.97*y)/(g1*g2) + g1^3*g2*t^8.66*y + 2*g1^2*t^8.83*y + (g1^3*t^8.83*y)/g2 + 2*g1*g2*t^8.83*y + g2^2*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
55203 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6492 | 0.8174 | 0.7943 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7397, 0.7698], q:[0.4302, 0.3698], qb:[0.8, 0.8], phi:[0.4]] | t^2.22 + t^2.31 + 3*t^2.4 + t^3.42 + 2*t^3.51 + t^3.69 + t^4.44 + t^4.53 + 4*t^4.62 + 3*t^4.71 + 7*t^4.8 + t^5.64 + 3*t^5.73 + 4*t^5.82 + 5*t^5.91 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
55089 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_2$ | 0.6642 | 0.8417 | 0.7891 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7599, 0.7866, 0.8134], q:[0.42, 0.38], qb:[0.7933, 0.8067], phi:[0.4]] | t^2.28 + t^2.36 + 3*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.68 + t^4.56 + t^4.64 + 3*t^4.68 + 2*t^4.72 + 3*t^4.76 + 8*t^4.8 + 3*t^4.84 + t^4.88 + t^5.76 + t^5.8 + t^5.84 + 3*t^5.88 + 3*t^5.92 + t^5.96 - 3*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
46563 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ | 0.6313 | 0.784 | 0.8052 | [X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7567], q:[0.4216, 0.3784], qb:[0.8, 0.8], phi:[0.4]] | t^2.27 + 3*t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.66 + t^4.54 + 3*t^4.67 + 7*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 6*t^5.94 - 3*t^6. - t^4.2/y - t^4.2*y | detail |