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 |
---|---|---|---|---|---|---|---|---|---|
45847 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ | 0.6643 | 0.7825 | 0.849 | [X:[], M:[1.2048, 0.8927], q:[0.5537, 0.5537], qb:[0.8012, 0.501], phi:[0.3976]] | [X:[], M:[[0, 4, 0], [0, -7, 1]], q:[[-1, 7, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, -2, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_2^2$ | . | -5 | t^2.68 + 2*t^3.16 + t^3.61 + t^3.91 + 2*t^4.06 + t^4.2 + 2*t^4.36 + 3*t^4.51 + t^5.36 - 5*t^6. - 2*t^6.16 + 3*t^6.33 - 2*t^6.45 + t^6.58 + 2*t^6.78 + t^6.88 - t^6.9 + 2*t^7.07 - t^7.19 + 4*t^7.23 - 2*t^7.35 + 2*t^7.36 + 4*t^7.52 + 6*t^7.68 + t^7.81 + 2*t^7.97 + t^8.03 + t^8.11 + 3*t^8.13 + 2*t^8.26 + t^8.4 + 3*t^8.42 + 2*t^8.56 + 4*t^8.58 - 2*t^8.68 + 2*t^8.71 + 2*t^8.87 + t^8.99 - t^4.19/y - t^6.87/y + t^7.51/y + (2*t^8.84)/y - t^4.19*y - t^6.87*y + t^7.51*y + 2*t^8.84*y | (g3*t^2.68)/g2^7 + (g2^7*t^3.16)/g1 + g1*g3*t^3.16 + g2^4*t^3.61 + g2*g3*t^3.91 + g1*g2*t^4.06 + (g2^8*t^4.06)/(g1*g3) + (g3^2*t^4.2)/g2^2 + (g2^5*t^4.36)/g1 + (g1*g3*t^4.36)/g2^2 + (g1^2*t^4.51)/g2^2 + (g2^12*t^4.51)/(g1^2*g3^2) + (g2^5*t^4.51)/g3 + (g3^2*t^5.36)/g2^14 - 3*t^6. - (g2^7*t^6.)/(g1^2*g3) - (g1^2*g3*t^6.)/g2^7 - (g2^7*t^6.16)/(g1*g3^2) - (g1*t^6.16)/g3 + (g2^14*t^6.33)/g1^2 + g2^7*g3*t^6.33 + g1^2*g3^2*t^6.33 - (g1*t^6.45)/g2^3 - (g2^4*t^6.45)/(g1*g3) + (g3^2*t^6.58)/g2^6 + (g2^11*t^6.78)/g1 + g1*g2^4*g3*t^6.78 + (g3^3*t^6.88)/g2^9 - (g2*t^6.9)/g3 + (g2^8*g3*t^7.07)/g1 + g1*g2*g3^2*t^7.07 - t^7.19/g2^2 + 2*g2^8*t^7.23 + (g2^15*t^7.23)/(g1^2*g3) + g1^2*g2*g3*t^7.23 - (g2^5*t^7.35)/(g1*g3^2) - (g1*t^7.35)/(g2^2*g3) + (g2^5*g3^2*t^7.36)/g1 + (g1*g3^3*t^7.36)/g2^2 + (g2^12*t^7.52)/g1^2 + 2*g2^5*g3*t^7.52 + (g1^2*g3^2*t^7.52)/g2^2 + 2*g1*g2^5*t^7.68 + (g2^19*t^7.68)/(g1^3*g3^2) + (2*g2^12*t^7.68)/(g1*g3) + (g1^3*g3*t^7.68)/g2^2 + g2^2*g3^2*t^7.81 + (g2^9*t^7.97)/g1 + g1*g2^2*g3*t^7.97 + (g3^3*t^8.03)/g2^21 + (g3^3*t^8.11)/g2 + g1^2*g2^2*t^8.13 + (g2^16*t^8.13)/(g1^2*g3^2) + (g2^9*t^8.13)/g3 + (g2^6*g3*t^8.26)/g1 + (g1*g3^2*t^8.26)/g2 + (g3^4*t^8.4)/g2^4 + g2^6*t^8.42 + (g2^13*t^8.42)/(g1^2*g3) + (g1^2*g3*t^8.42)/g2 + (g2^3*g3^2*t^8.56)/g1 + (g1*g3^3*t^8.56)/g2^4 + (g1^3*t^8.58)/g2 + (g2^20*t^8.58)/(g1^3*g3^3) + (g2^13*t^8.58)/(g1*g3^2) + (g1*g2^6*t^8.58)/g3 - (2*g3*t^8.68)/g2^7 + (g2^10*t^8.71)/g1^2 + (g1^2*g3^2*t^8.71)/g2^4 + (g2^17*t^8.87)/(g1^3*g3^2) + (g1^3*g3*t^8.87)/g2^4 + t^8.99/g3^2 - t^4.19/(g2^2*y) - (g3*t^6.87)/(g2^9*y) + (g2^5*t^7.51)/(g3*y) + (g3*t^8.84)/(g1*y) + (g1*g3^2*t^8.84)/(g2^7*y) - (t^4.19*y)/g2^2 - (g3*t^6.87*y)/g2^9 + (g2^5*t^7.51*y)/g3 + (g3*t^8.84*y)/g1 + (g1*g3^2*t^8.84*y)/g2^7 |
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 |
---|---|---|---|---|---|---|---|---|
45882 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6849 | 0.8216 | 0.8337 | [X:[], M:[1.2094, 0.8921, 0.689], q:[0.554, 0.554], qb:[0.8024, 0.5086], phi:[0.3953]] | t^2.07 + t^2.68 + 2*t^3.19 + t^3.63 + 2*t^4.07 + t^4.13 + t^4.24 + 2*t^4.37 + 3*t^4.51 + t^4.74 + 2*t^5.25 + t^5.35 + t^5.7 - 5*t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
45826 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[1.1256, 0.8278], q:[0.5861, 0.5861], qb:[0.5395, 0.5395], phi:[0.4372]] | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*y | detail |