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 |
---|---|---|---|---|---|---|---|---|---|
55822 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ + $ M_2^2$ | 0.8544 | 1.0609 | 0.8054 | [X:[], M:[0.7026, 1.0], q:[0.6487, 0.6487, 0.5], qb:[0.5, 0.6487, 0.6487], phi:[0.6013]] | [X:[], M:[[0, 0, -2, -2], [0, 0, 0, 0]], q:[[-1, 0, 2, 2], [1, 0, 0, 0], [0, -1, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], phi:[[0, 0, -1, -1]]] | 4 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ q_3\tilde{q}_2$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_2\tilde{q}_3$, $ M_1^2$, $ \phi_1q_3\tilde{q}_1$, $ \phi_1q_3^2$, $ M_1M_2$, $ \phi_1q_3\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_1\phi_1^2$ | . | -14 | t^2.11 + t^3. + 8*t^3.45 + t^3.61 + 5*t^3.89 + t^4.22 + 3*t^4.8 + t^5.11 + 8*t^5.25 + 10*t^5.7 + t^5.72 - 14*t^6. + t^6.32 + t^6.61 + 35*t^6.89 + 3*t^6.91 + 8*t^7.05 - 3*t^7.2 + 2*t^7.22 + 32*t^7.34 + 5*t^7.5 - 8*t^7.64 + 14*t^7.78 - 6*t^7.8 + t^7.82 - 10*t^8.09 - 4*t^8.11 + 16*t^8.25 + 3*t^8.41 + t^8.43 + 55*t^8.7 + t^8.72 + 8*t^8.86 - t^4.8/y - t^6.91/y + t^7.2/y + t^8.11/y - t^8.41/y + (8*t^8.55)/y + t^8.7/y + t^8.72/y - t^4.8*y - t^6.91*y + t^7.2*y + t^8.11*y - t^8.41*y + 8*t^8.55*y + t^8.7*y + t^8.72*y | t^2.11/(g3^2*g4^2) + t^3. + (g1*t^3.45)/g2 + g1*g2*t^3.45 + (g3^2*t^3.45)/g2 + g2*g3^2*t^3.45 + (g4^2*t^3.45)/g2 + g2*g4^2*t^3.45 + (g3^2*g4^2*t^3.45)/(g1*g2) + (g2*g3^2*g4^2*t^3.45)/g1 + t^3.61/(g3^2*g4^2) + g1*g3^2*t^3.89 + g1*g4^2*t^3.89 + g3^2*g4^2*t^3.89 + (g3^4*g4^2*t^3.89)/g1 + (g3^2*g4^4*t^3.89)/g1 + t^4.22/(g3^4*g4^4) + t^4.8/(g3*g4) + t^4.8/(g2^2*g3*g4) + (g2^2*t^4.8)/(g3*g4) + t^5.11/(g3^2*g4^2) + (g1*t^5.25)/(g2*g3*g4) + (g1*g2*t^5.25)/(g3*g4) + (g3*t^5.25)/(g2*g4) + (g2*g3*t^5.25)/g4 + (g4*t^5.25)/(g2*g3) + (g2*g4*t^5.25)/g3 + (g3*g4*t^5.25)/(g1*g2) + (g2*g3*g4*t^5.25)/g1 + (g1^2*t^5.7)/(g3*g4) + (g1*g3*t^5.7)/g4 + (g3^3*t^5.7)/g4 + (g1*g4*t^5.7)/g3 + 2*g3*g4*t^5.7 + (g3^3*g4*t^5.7)/g1 + (g4^3*t^5.7)/g3 + (g3*g4^3*t^5.7)/g1 + (g3^3*g4^3*t^5.7)/g1^2 + t^5.72/(g3^4*g4^4) - 4*t^6. - t^6./g2^2 - g2^2*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 + t^6.32/(g3^6*g4^6) + t^6.61/(g3^2*g4^2) + g1^2*t^6.89 + (g1^2*t^6.89)/g2^2 + g1^2*g2^2*t^6.89 + 2*g1*g3^2*t^6.89 + (g1*g3^2*t^6.89)/g2^2 + g1*g2^2*g3^2*t^6.89 + g3^4*t^6.89 + (g3^4*t^6.89)/g2^2 + g2^2*g3^4*t^6.89 + 2*g1*g4^2*t^6.89 + (g1*g4^2*t^6.89)/g2^2 + g1*g2^2*g4^2*t^6.89 + 3*g3^2*g4^2*t^6.89 + (2*g3^2*g4^2*t^6.89)/g2^2 + 2*g2^2*g3^2*g4^2*t^6.89 + (2*g3^4*g4^2*t^6.89)/g1 + (g3^4*g4^2*t^6.89)/(g1*g2^2) + (g2^2*g3^4*g4^2*t^6.89)/g1 + g4^4*t^6.89 + (g4^4*t^6.89)/g2^2 + g2^2*g4^4*t^6.89 + (2*g3^2*g4^4*t^6.89)/g1 + (g3^2*g4^4*t^6.89)/(g1*g2^2) + (g2^2*g3^2*g4^4*t^6.89)/g1 + (g3^4*g4^4*t^6.89)/g1^2 + (g3^4*g4^4*t^6.89)/(g1^2*g2^2) + (g2^2*g3^4*g4^4*t^6.89)/g1^2 + t^6.91/(g3^3*g4^3) + t^6.91/(g2^2*g3^3*g4^3) + (g2^2*t^6.91)/(g3^3*g4^3) + t^7.05/(g1*g2) + (g2*t^7.05)/g1 + t^7.05/(g2*g3^2) + (g2*t^7.05)/g3^2 + t^7.05/(g2*g4^2) + (g2*t^7.05)/g4^2 + (g1*t^7.05)/(g2*g3^2*g4^2) + (g1*g2*t^7.05)/(g3^2*g4^2) - g3*g4*t^7.2 - (g3*g4*t^7.2)/g2^2 - g2^2*g3*g4*t^7.2 + (2*t^7.22)/(g3^4*g4^4) + (g1^2*g3^2*t^7.34)/g2 + g1^2*g2*g3^2*t^7.34 + (g1*g3^4*t^7.34)/g2 + g1*g2*g3^4*t^7.34 + (g1^2*g4^2*t^7.34)/g2 + g1^2*g2*g4^2*t^7.34 + (2*g1*g3^2*g4^2*t^7.34)/g2 + 2*g1*g2*g3^2*g4^2*t^7.34 + (2*g3^4*g4^2*t^7.34)/g2 + 2*g2*g3^4*g4^2*t^7.34 + (g3^6*g4^2*t^7.34)/(g1*g2) + (g2*g3^6*g4^2*t^7.34)/g1 + (g1*g4^4*t^7.34)/g2 + g1*g2*g4^4*t^7.34 + (2*g3^2*g4^4*t^7.34)/g2 + 2*g2*g3^2*g4^4*t^7.34 + (2*g3^4*g4^4*t^7.34)/(g1*g2) + (2*g2*g3^4*g4^4*t^7.34)/g1 + (g3^6*g4^4*t^7.34)/(g1^2*g2) + (g2*g3^6*g4^4*t^7.34)/g1^2 + (g3^2*g4^6*t^7.34)/(g1*g2) + (g2*g3^2*g4^6*t^7.34)/g1 + (g3^4*g4^6*t^7.34)/(g1^2*g2) + (g2*g3^4*g4^6*t^7.34)/g1^2 + t^7.5 + (g1*t^7.5)/g3^2 + (g3^2*t^7.5)/g1 + (g1*t^7.5)/g4^2 + (g4^2*t^7.5)/g1 - (g1*g3*g4*t^7.64)/g2 - g1*g2*g3*g4*t^7.64 - (g3^3*g4*t^7.64)/g2 - g2*g3^3*g4*t^7.64 - (g3*g4^3*t^7.64)/g2 - g2*g3*g4^3*t^7.64 - (g3^3*g4^3*t^7.64)/(g1*g2) - (g2*g3^3*g4^3*t^7.64)/g1 + g1^2*g3^4*t^7.78 + g1^2*g3^2*g4^2*t^7.78 + g1*g3^4*g4^2*t^7.78 + g3^6*g4^2*t^7.78 + g1^2*g4^4*t^7.78 + g1*g3^2*g4^4*t^7.78 + 2*g3^4*g4^4*t^7.78 + (g3^6*g4^4*t^7.78)/g1 + (g3^8*g4^4*t^7.78)/g1^2 + g3^2*g4^6*t^7.78 + (g3^4*g4^6*t^7.78)/g1 + (g3^6*g4^6*t^7.78)/g1^2 + (g3^4*g4^8*t^7.78)/g1^2 - (g1*t^7.8)/(g3*g4^3) - (g1*t^7.8)/(g3^3*g4) - (2*t^7.8)/(g3*g4) - (g3*t^7.8)/(g1*g4) - (g4*t^7.8)/(g1*g3) + t^7.82/(g3^6*g4^6) - g1^2*g3*g4*t^8.09 - g1*g3^3*g4*t^8.09 - g3^5*g4*t^8.09 - g1*g3*g4^3*t^8.09 - 2*g3^3*g4^3*t^8.09 - (g3^5*g4^3*t^8.09)/g1 - g3*g4^5*t^8.09 - (g3^3*g4^5*t^8.09)/g1 - (g3^5*g4^5*t^8.09)/g1^2 - (2*t^8.11)/(g3^2*g4^2) - t^8.11/(g2^2*g3^2*g4^2) - (g2^2*t^8.11)/(g3^2*g4^2) + (g1*t^8.25)/(g2^3*g3*g4) + (g1*t^8.25)/(g2*g3*g4) + (g1*g2*t^8.25)/(g3*g4) + (g1*g2^3*t^8.25)/(g3*g4) + (g3*t^8.25)/(g2^3*g4) + (g3*t^8.25)/(g2*g4) + (g2*g3*t^8.25)/g4 + (g2^3*g3*t^8.25)/g4 + (g4*t^8.25)/(g2^3*g3) + (g4*t^8.25)/(g2*g3) + (g2*g4*t^8.25)/g3 + (g2^3*g4*t^8.25)/g3 + (g3*g4*t^8.25)/(g1*g2^3) + (g3*g4*t^8.25)/(g1*g2) + (g2*g3*g4*t^8.25)/g1 + (g2^3*g3*g4*t^8.25)/g1 + t^8.41/(g3^3*g4^3) + t^8.41/(g2^2*g3^3*g4^3) + (g2^2*t^8.41)/(g3^3*g4^3) + t^8.43/(g3^8*g4^8) + (2*g1^2*t^8.7)/(g3*g4) + (g1^2*t^8.7)/(g2^2*g3*g4) + (g1^2*g2^2*t^8.7)/(g3*g4) + (3*g1*g3*t^8.7)/g4 + (2*g1*g3*t^8.7)/(g2^2*g4) + (2*g1*g2^2*g3*t^8.7)/g4 + (2*g3^3*t^8.7)/g4 + (g3^3*t^8.7)/(g2^2*g4) + (g2^2*g3^3*t^8.7)/g4 + (3*g1*g4*t^8.7)/g3 + (2*g1*g4*t^8.7)/(g2^2*g3) + (2*g1*g2^2*g4*t^8.7)/g3 + 5*g3*g4*t^8.7 + (3*g3*g4*t^8.7)/g2^2 + 3*g2^2*g3*g4*t^8.7 + (3*g3^3*g4*t^8.7)/g1 + (2*g3^3*g4*t^8.7)/(g1*g2^2) + (2*g2^2*g3^3*g4*t^8.7)/g1 + (2*g4^3*t^8.7)/g3 + (g4^3*t^8.7)/(g2^2*g3) + (g2^2*g4^3*t^8.7)/g3 + (3*g3*g4^3*t^8.7)/g1 + (2*g3*g4^3*t^8.7)/(g1*g2^2) + (2*g2^2*g3*g4^3*t^8.7)/g1 + (2*g3^3*g4^3*t^8.7)/g1^2 + (g3^3*g4^3*t^8.7)/(g1^2*g2^2) + (g2^2*g3^3*g4^3*t^8.7)/g1^2 + t^8.72/(g3^4*g4^4) + (g1*t^8.86)/(g2*g3^3*g4^3) + (g1*g2*t^8.86)/(g3^3*g4^3) + t^8.86/(g2*g3*g4^3) + (g2*t^8.86)/(g3*g4^3) + t^8.86/(g2*g3^3*g4) + (g2*t^8.86)/(g3^3*g4) + t^8.86/(g1*g2*g3*g4) + (g2*t^8.86)/(g1*g3*g4) - t^4.8/(g3*g4*y) - t^6.91/(g3^3*g4^3*y) + (g3*g4*t^7.2)/y + t^8.11/(g3^2*g4^2*y) - t^8.41/(g3^3*g4^3*y) + t^8.55/(g1*g2*y) + (g2*t^8.55)/(g1*y) + t^8.55/(g2*g3^2*y) + (g2*t^8.55)/(g3^2*y) + t^8.55/(g2*g4^2*y) + (g2*t^8.55)/(g4^2*y) + (g1*t^8.55)/(g2*g3^2*g4^2*y) + (g1*g2*t^8.55)/(g3^2*g4^2*y) + (g3*g4*t^8.7)/y + t^8.72/(g3^4*g4^4*y) - (t^4.8*y)/(g3*g4) - (t^6.91*y)/(g3^3*g4^3) + g3*g4*t^7.2*y + (t^8.11*y)/(g3^2*g4^2) - (t^8.41*y)/(g3^3*g4^3) + (t^8.55*y)/(g1*g2) + (g2*t^8.55*y)/g1 + (t^8.55*y)/(g2*g3^2) + (g2*t^8.55*y)/g3^2 + (t^8.55*y)/(g2*g4^2) + (g2*t^8.55*y)/g4^2 + (g1*t^8.55*y)/(g2*g3^2*g4^2) + (g1*g2*t^8.55*y)/(g3^2*g4^2) + g3*g4*t^8.7*y + (t^8.72*y)/(g3^4*g4^4) |
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 |
---|---|---|---|---|---|---|---|---|---|
55683 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ | 0.8977 | 1.103 | 0.8139 | [X:[], M:[0.7364, 0.72], q:[0.6318, 0.6318, 0.64], qb:[0.64, 0.6318, 0.6318], phi:[0.5482]] | t^2.16 + t^2.21 + t^3.29 + 5*t^3.79 + 8*t^3.82 + t^4.32 + t^4.37 + t^4.42 + 10*t^5.44 + t^5.45 + 8*t^5.46 + 3*t^5.48 + t^5.5 + 5*t^5.95 - 15*t^6. - t^4.64/y - t^4.64*y | detail |