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 |
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1708 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.6248 | 0.8147 | 0.7669 | [X:[], M:[0.7307, 0.7307], q:[0.75, 0.25], qb:[0.5193, 0.4807], phi:[0.5]] | [X:[], M:[[1], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ q_1q_2^2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ q_1q_2^2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_1\phi_1q_2\tilde{q}_2$, $ M_2\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $\phi_1^3q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | 5 | 3*t^2.19 + t^2.31 + 4*t^3. + 2*t^3.69 + 7*t^4.38 + 4*t^4.5 + 2*t^4.62 + 11*t^5.19 + 3*t^5.31 + 5*t^5.88 + 5*t^6. - t^6.12 + 13*t^6.58 + 11*t^6.69 + 2*t^6.92 + 24*t^7.38 + 4*t^7.5 + 3*t^7.62 + 11*t^8.08 + 8*t^8.19 - 4*t^8.31 - t^8.42 + 22*t^8.77 + 20*t^8.88 - t^4.5/y - (2*t^6.69)/y + (3*t^7.38)/y + (3*t^7.5)/y + (12*t^8.19)/y + (6*t^8.31)/y + (3*t^8.88)/y - t^4.5*y - 2*t^6.69*y + 3*t^7.38*y + 3*t^7.5*y + 12*t^8.19*y + 6*t^8.31*y + 3*t^8.88*y | 3*g1*t^2.19 + t^2.31/g1 + 4*t^3. + 2*g1*t^3.69 + 7*g1^2*t^4.38 + 4*t^4.5 + (2*t^4.62)/g1^2 + 11*g1*t^5.19 + (3*t^5.31)/g1 + 5*g1^2*t^5.88 + 5*t^6. - t^6.12/g1^2 + 13*g1^3*t^6.58 + 11*g1*t^6.69 + (2*t^6.92)/g1^3 + 24*g1^2*t^7.38 + 4*t^7.5 + (3*t^7.62)/g1^2 + 11*g1^3*t^8.08 + 8*g1*t^8.19 - (4*t^8.31)/g1 - t^8.42/g1^3 + 22*g1^4*t^8.77 + 20*g1^2*t^8.88 - t^4.5/y - (2*g1*t^6.69)/y + (3*g1^2*t^7.38)/y + (3*t^7.5)/y + (12*g1*t^8.19)/y + (6*t^8.31)/(g1*y) + (3*g1^2*t^8.88)/y - t^4.5*y - 2*g1*t^6.69*y + 3*g1^2*t^7.38*y + 3*t^7.5*y + 12*g1*t^8.19*y + (6*t^8.31*y)/g1 + 3*g1^2*t^8.88*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
89 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ | 0.6052 | 0.7778 | 0.7781 | [X:[], M:[0.7392], q:[0.75, 0.25], qb:[0.5108, 0.4892], phi:[0.5]] | 2*t^2.22 + t^2.28 + 4*t^3. + 2*t^3.72 + t^3.78 + 4*t^4.44 + 3*t^4.5 + 2*t^4.56 + 7*t^5.22 + 3*t^5.28 + 3*t^5.94 + 7*t^6. - t^4.5/y - t^4.5*y | detail |