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 |
---|---|---|---|---|---|---|---|---|---|
55443 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.8782 | 1.0685 | 0.8219 | [X:[], M:[0.7317], q:[0.6342, 0.6342, 0.621], qb:[0.6342, 0.6342, 0.621], phi:[0.5553]] | [X:[], M:[[0, 0, -2, -2, 0]], q:[[-1, 0, 2, 2, 0], [1, 0, 0, 0, 0], [0, 4, 0, 0, 0]], qb:[[0, 0, 2, 0, 0], [0, 0, 0, 2, 0], [0, 0, 0, 0, 4]], phi:[[0, -1, -1, -1, -1]]] | 5 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_3^2$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1q_3\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_1q_3\tilde{q}_3$ | . | -15 | t^2.19 + t^3.33 + t^3.73 + 8*t^3.77 + 5*t^3.81 + t^4.39 + 3*t^5.39 + 8*t^5.43 + 10*t^5.47 + t^5.53 + t^5.92 - 15*t^6. - 8*t^6.04 + t^6.58 + t^6.66 + t^7.06 + 8*t^7.1 + 5*t^7.14 + t^7.45 + 8*t^7.49 + 35*t^7.53 + 32*t^7.57 + 3*t^7.59 + 14*t^7.61 - 9*t^7.67 - 8*t^7.71 + t^7.72 - 3*t^8.06 - 8*t^8.1 + t^8.12 - 10*t^8.14 - 5*t^8.19 + 3*t^8.27 + 3*t^8.72 + 8*t^8.76 + t^8.78 + 10*t^8.8 + t^8.86 - t^4.67/y - t^6.86/y + t^7.33/y - t^8./y + t^8.47/y + t^8.53/y + t^8.92/y + (8*t^8.96)/y - t^4.67*y - t^6.86*y + t^7.33*y - t^8.*y + t^8.47*y + t^8.53*y + t^8.92*y + 8*t^8.96*y | t^2.19/(g3^2*g4^2) + t^3.33/(g2^2*g3^2*g4^2*g5^2) + g2^4*g5^4*t^3.73 + g1*g2^4*t^3.77 + g2^4*g3^2*t^3.77 + g2^4*g4^2*t^3.77 + (g2^4*g3^2*g4^2*t^3.77)/g1 + g1*g5^4*t^3.77 + g3^2*g5^4*t^3.77 + g4^2*g5^4*t^3.77 + (g3^2*g4^2*g5^4*t^3.77)/g1 + g1*g3^2*t^3.81 + g1*g4^2*t^3.81 + g3^2*g4^2*t^3.81 + (g3^4*g4^2*t^3.81)/g1 + (g3^2*g4^4*t^3.81)/g1 + t^4.39/(g3^4*g4^4) + (g2^7*t^5.39)/(g3*g4*g5) + (g2^3*g5^3*t^5.39)/(g3*g4) + (g5^7*t^5.39)/(g2*g3*g4) + (g1*g2^3*t^5.43)/(g3*g4*g5) + (g2^3*g3*t^5.43)/(g4*g5) + (g2^3*g4*t^5.43)/(g3*g5) + (g2^3*g3*g4*t^5.43)/(g1*g5) + (g1*g5^3*t^5.43)/(g2*g3*g4) + (g3*g5^3*t^5.43)/(g2*g4) + (g4*g5^3*t^5.43)/(g2*g3) + (g3*g4*g5^3*t^5.43)/(g1*g2) + (g1^2*t^5.47)/(g2*g3*g4*g5) + (g1*g3*t^5.47)/(g2*g4*g5) + (g3^3*t^5.47)/(g2*g4*g5) + (g1*g4*t^5.47)/(g2*g3*g5) + (2*g3*g4*t^5.47)/(g2*g5) + (g3^3*g4*t^5.47)/(g1*g2*g5) + (g4^3*t^5.47)/(g2*g3*g5) + (g3*g4^3*t^5.47)/(g1*g2*g5) + (g3^3*g4^3*t^5.47)/(g1^2*g2*g5) + t^5.53/(g2^2*g3^4*g4^4*g5^2) + (g2^4*g5^4*t^5.92)/(g3^2*g4^2) - 5*t^6. - (g1*t^6.)/g3^2 - (g3^2*t^6.)/g1 - (g1*t^6.)/g4^2 - (g1^2*t^6.)/(g3^2*g4^2) - (g3^2*t^6.)/g4^2 - (g4^2*t^6.)/g1 - (g4^2*t^6.)/g3^2 - (g3^2*g4^2*t^6.)/g1^2 - (g2^4*t^6.)/g5^4 - (g5^4*t^6.)/g2^4 - (g1*t^6.04)/g2^4 - (g3^2*t^6.04)/g2^4 - (g4^2*t^6.04)/g2^4 - (g3^2*g4^2*t^6.04)/(g1*g2^4) - (g1*t^6.04)/g5^4 - (g3^2*t^6.04)/g5^4 - (g4^2*t^6.04)/g5^4 - (g3^2*g4^2*t^6.04)/(g1*g5^4) + t^6.58/(g3^6*g4^6) + t^6.66/(g2^4*g3^4*g4^4*g5^4) + (g2^2*g5^2*t^7.06)/(g3^2*g4^2) + (g2^2*t^7.1)/(g1*g5^2) + (g2^2*t^7.1)/(g3^2*g5^2) + (g2^2*t^7.1)/(g4^2*g5^2) + (g1*g2^2*t^7.1)/(g3^2*g4^2*g5^2) + (g5^2*t^7.1)/(g1*g2^2) + (g5^2*t^7.1)/(g2^2*g3^2) + (g5^2*t^7.1)/(g2^2*g4^2) + (g1*g5^2*t^7.1)/(g2^2*g3^2*g4^2) + t^7.14/(g2^2*g5^2) + (g1*t^7.14)/(g2^2*g3^2*g5^2) + (g3^2*t^7.14)/(g1*g2^2*g5^2) + (g1*t^7.14)/(g2^2*g4^2*g5^2) + (g4^2*t^7.14)/(g1*g2^2*g5^2) + g2^8*g5^8*t^7.45 + g1*g2^8*g5^4*t^7.49 + g2^8*g3^2*g5^4*t^7.49 + g2^8*g4^2*g5^4*t^7.49 + (g2^8*g3^2*g4^2*g5^4*t^7.49)/g1 + g1*g2^4*g5^8*t^7.49 + g2^4*g3^2*g5^8*t^7.49 + g2^4*g4^2*g5^8*t^7.49 + (g2^4*g3^2*g4^2*g5^8*t^7.49)/g1 + g1^2*g2^8*t^7.53 + g1*g2^8*g3^2*t^7.53 + g2^8*g3^4*t^7.53 + g1*g2^8*g4^2*t^7.53 + 2*g2^8*g3^2*g4^2*t^7.53 + (g2^8*g3^4*g4^2*t^7.53)/g1 + g2^8*g4^4*t^7.53 + (g2^8*g3^2*g4^4*t^7.53)/g1 + (g2^8*g3^4*g4^4*t^7.53)/g1^2 + g1^2*g2^4*g5^4*t^7.53 + 2*g1*g2^4*g3^2*g5^4*t^7.53 + g2^4*g3^4*g5^4*t^7.53 + 2*g1*g2^4*g4^2*g5^4*t^7.53 + 3*g2^4*g3^2*g4^2*g5^4*t^7.53 + (2*g2^4*g3^4*g4^2*g5^4*t^7.53)/g1 + g2^4*g4^4*g5^4*t^7.53 + (2*g2^4*g3^2*g4^4*g5^4*t^7.53)/g1 + (g2^4*g3^4*g4^4*g5^4*t^7.53)/g1^2 + g1^2*g5^8*t^7.53 + g1*g3^2*g5^8*t^7.53 + g3^4*g5^8*t^7.53 + g1*g4^2*g5^8*t^7.53 + 2*g3^2*g4^2*g5^8*t^7.53 + (g3^4*g4^2*g5^8*t^7.53)/g1 + g4^4*g5^8*t^7.53 + (g3^2*g4^4*g5^8*t^7.53)/g1 + (g3^4*g4^4*g5^8*t^7.53)/g1^2 + g1^2*g2^4*g3^2*t^7.57 + g1*g2^4*g3^4*t^7.57 + g1^2*g2^4*g4^2*t^7.57 + 2*g1*g2^4*g3^2*g4^2*t^7.57 + 2*g2^4*g3^4*g4^2*t^7.57 + (g2^4*g3^6*g4^2*t^7.57)/g1 + g1*g2^4*g4^4*t^7.57 + 2*g2^4*g3^2*g4^4*t^7.57 + (2*g2^4*g3^4*g4^4*t^7.57)/g1 + (g2^4*g3^6*g4^4*t^7.57)/g1^2 + (g2^4*g3^2*g4^6*t^7.57)/g1 + (g2^4*g3^4*g4^6*t^7.57)/g1^2 + g1^2*g3^2*g5^4*t^7.57 + g1*g3^4*g5^4*t^7.57 + g1^2*g4^2*g5^4*t^7.57 + 2*g1*g3^2*g4^2*g5^4*t^7.57 + 2*g3^4*g4^2*g5^4*t^7.57 + (g3^6*g4^2*g5^4*t^7.57)/g1 + g1*g4^4*g5^4*t^7.57 + 2*g3^2*g4^4*g5^4*t^7.57 + (2*g3^4*g4^4*g5^4*t^7.57)/g1 + (g3^6*g4^4*g5^4*t^7.57)/g1^2 + (g3^2*g4^6*g5^4*t^7.57)/g1 + (g3^4*g4^6*g5^4*t^7.57)/g1^2 + (g2^7*t^7.59)/(g3^3*g4^3*g5) + (g2^3*g5^3*t^7.59)/(g3^3*g4^3) + (g5^7*t^7.59)/(g2*g3^3*g4^3) + g1^2*g3^4*t^7.61 + g1^2*g3^2*g4^2*t^7.61 + g1*g3^4*g4^2*t^7.61 + g3^6*g4^2*t^7.61 + g1^2*g4^4*t^7.61 + g1*g3^2*g4^4*t^7.61 + 2*g3^4*g4^4*t^7.61 + (g3^6*g4^4*t^7.61)/g1 + (g3^8*g4^4*t^7.61)/g1^2 + g3^2*g4^6*t^7.61 + (g3^4*g4^6*t^7.61)/g1 + (g3^6*g4^6*t^7.61)/g1^2 + (g3^4*g4^8*t^7.61)/g1^2 - (g2^3*t^7.67)/(g3*g4*g5^5) - (g1*t^7.67)/(g2*g3*g4^3*g5) - (g1*t^7.67)/(g2*g3^3*g4*g5) - (3*t^7.67)/(g2*g3*g4*g5) - (g3*t^7.67)/(g1*g2*g4*g5) - (g4*t^7.67)/(g1*g2*g3*g5) - (g5^3*t^7.67)/(g2^5*g3*g4) - (g1*t^7.71)/(g2*g3*g4*g5^5) - (g3*t^7.71)/(g2*g4*g5^5) - (g4*t^7.71)/(g2*g3*g5^5) - (g3*g4*t^7.71)/(g1*g2*g5^5) - (g1*t^7.71)/(g2^5*g3*g4*g5) - (g3*t^7.71)/(g2^5*g4*g5) - (g4*t^7.71)/(g2^5*g3*g5) - (g3*g4*t^7.71)/(g1*g2^5*g5) + t^7.72/(g2^2*g3^6*g4^6*g5^2) - g2^9*g3*g4*g5*t^8.06 - g2^5*g3*g4*g5^5*t^8.06 - g2*g3*g4*g5^9*t^8.06 - g1*g2^5*g3*g4*g5*t^8.1 - g2^5*g3^3*g4*g5*t^8.1 - g2^5*g3*g4^3*g5*t^8.1 - (g2^5*g3^3*g4^3*g5*t^8.1)/g1 - g1*g2*g3*g4*g5^5*t^8.1 - g2*g3^3*g4*g5^5*t^8.1 - g2*g3*g4^3*g5^5*t^8.1 - (g2*g3^3*g4^3*g5^5*t^8.1)/g1 + (g2^4*g5^4*t^8.12)/(g3^4*g4^4) - g1^2*g2*g3*g4*g5*t^8.14 - g1*g2*g3^3*g4*g5*t^8.14 - g2*g3^5*g4*g5*t^8.14 - g1*g2*g3*g4^3*g5*t^8.14 - 2*g2*g3^3*g4^3*g5*t^8.14 - (g2*g3^5*g4^3*g5*t^8.14)/g1 - g2*g3*g4^5*g5*t^8.14 - (g2*g3^3*g4^5*g5*t^8.14)/g1 - (g2*g3^5*g4^5*g5*t^8.14)/g1^2 - (3*t^8.19)/(g3^2*g4^2) - (g2^4*t^8.19)/(g3^2*g4^2*g5^4) - (g5^4*t^8.19)/(g2^4*g3^2*g4^2) + t^8.27/g2^8 + t^8.27/g5^8 + t^8.27/(g2^4*g5^4) + (g2^5*t^8.72)/(g3^3*g4^3*g5^3) + (g2*g5*t^8.72)/(g3^3*g4^3) + (g5^5*t^8.72)/(g2^3*g3^3*g4^3) + (g1*g2*t^8.76)/(g3^3*g4^3*g5^3) + (g2*t^8.76)/(g3*g4^3*g5^3) + (g2*t^8.76)/(g3^3*g4*g5^3) + (g2*t^8.76)/(g1*g3*g4*g5^3) + (g1*g5*t^8.76)/(g2^3*g3^3*g4^3) + (g5*t^8.76)/(g2^3*g3*g4^3) + (g5*t^8.76)/(g2^3*g3^3*g4) + (g5*t^8.76)/(g1*g2^3*g3*g4) + t^8.78/(g3^8*g4^8) + (g1^2*t^8.8)/(g2^3*g3^3*g4^3*g5^3) + (g1*t^8.8)/(g2^3*g3*g4^3*g5^3) + (g3*t^8.8)/(g2^3*g4^3*g5^3) + (g1*t^8.8)/(g2^3*g3^3*g4*g5^3) + (2*t^8.8)/(g2^3*g3*g4*g5^3) + (g3*t^8.8)/(g1*g2^3*g4*g5^3) + (g4*t^8.8)/(g2^3*g3^3*g5^3) + (g4*t^8.8)/(g1*g2^3*g3*g5^3) + (g3*g4*t^8.8)/(g1^2*g2^3*g5^3) + t^8.86/(g2^4*g3^6*g4^6*g5^4) - t^4.67/(g2*g3*g4*g5*y) - t^6.86/(g2*g3^3*g4^3*g5*y) + (g2*g3*g4*g5*t^7.33)/y - t^8./(g2^3*g3^3*g4^3*g5^3*y) + (g3*g4*t^8.47)/(g2*g5*y) + t^8.53/(g2^2*g3^4*g4^4*g5^2*y) + (g2^4*g5^4*t^8.92)/(g3^2*g4^2*y) + (g2^4*t^8.96)/(g1*y) + (g2^4*t^8.96)/(g3^2*y) + (g2^4*t^8.96)/(g4^2*y) + (g1*g2^4*t^8.96)/(g3^2*g4^2*y) + (g5^4*t^8.96)/(g1*y) + (g5^4*t^8.96)/(g3^2*y) + (g5^4*t^8.96)/(g4^2*y) + (g1*g5^4*t^8.96)/(g3^2*g4^2*y) - (t^4.67*y)/(g2*g3*g4*g5) - (t^6.86*y)/(g2*g3^3*g4^3*g5) + g2*g3*g4*g5*t^7.33*y - (t^8.*y)/(g2^3*g3^3*g4^3*g5^3) + (g3*g4*t^8.47*y)/(g2*g5) + (t^8.53*y)/(g2^2*g3^4*g4^4*g5^2) + (g2^4*g5^4*t^8.92*y)/(g3^2*g4^2) + (g2^4*t^8.96*y)/g1 + (g2^4*t^8.96*y)/g3^2 + (g2^4*t^8.96*y)/g4^2 + (g1*g2^4*t^8.96*y)/(g3^2*g4^2) + (g5^4*t^8.96*y)/g1 + (g5^4*t^8.96*y)/g3^2 + (g5^4*t^8.96*y)/g4^2 + (g1*g5^4*t^8.96*y)/(g3^2*g4^2) |
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 |
---|---|---|---|---|---|---|---|---|
55682 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1q_3\tilde{q}_3$ | 0.878 | 1.0676 | 0.8224 | [X:[], M:[0.7394], q:[0.6303, 0.6303, 0.6303], qb:[0.6303, 0.6303, 0.6303], phi:[0.5545]] | t^2.22 + t^3.33 + 14*t^3.78 + t^4.44 + 21*t^5.45 + t^5.55 - 22*t^6. - t^4.66/y - t^4.66*y | detail | |
55655 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_3\tilde{q}_1$ | 0.898 | 1.1046 | 0.813 | [X:[], M:[0.7279, 0.715], q:[0.6361, 0.6361, 0.6387], qb:[0.6463, 0.6258, 0.6185], phi:[0.5496]] | t^2.15 + t^2.18 + t^3.3 + t^3.73 + 2*t^3.76 + t^3.77 + 4*t^3.79 + 3*t^3.82 + 2*t^3.85 + t^4.29 + t^4.33 + t^4.37 + t^5.36 + t^5.38 + t^5.4 + 2*t^5.41 + t^5.42 + 2*t^5.43 + 3*t^5.44 + 6*t^5.47 + 2*t^5.48 + 3*t^5.5 + t^5.53 + t^5.88 + 2*t^5.91 + t^5.92 + 2*t^5.93 + t^5.96 - 7*t^6. - t^4.65/y - t^4.65*y | detail | |
55657 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ | 0.8708 | 1.0567 | 0.8241 | [X:[], M:[0.7582], q:[0.6209, 0.6209, 0.7268], qb:[0.6209, 0.6209, 0.6039], phi:[0.5464]] | t^2.27 + t^3.28 + 4*t^3.67 + 5*t^3.73 + t^3.99 + 4*t^4.04 + t^4.55 + t^5.26 + 4*t^5.31 + 10*t^5.36 + t^5.55 - 12*t^6. - t^4.64/y - t^4.64*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 |
---|---|---|---|---|---|---|---|---|---|
55431 | SU2adj1nf3 | $M_1q_1q_2$ | 0.8785 | 1.0704 | 0.8208 | [X:[], M:[0.7154], q:[0.6423, 0.6423, 0.6218], qb:[0.6218, 0.6218, 0.6218], phi:[0.557]] | t^2.15 + t^3.34 + 6*t^3.73 + 8*t^3.79 + t^4.29 + 10*t^5.4 + 8*t^5.46 + t^5.49 + 3*t^5.52 + 6*t^5.88 - 20*t^6. - t^4.67/y - t^4.67*y | detail |