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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1988 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6659 | 0.842 | 0.7909 | [X:[], M:[0.8176, 0.7588, 1.1824, 0.847, 0.7882, 0.7588], q:[0.8029, 0.8029], qb:[0.3794, 0.4382], phi:[0.3941]] | [X:[], M:[[6], [-14], [-6], [16], [-4], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2M_5$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_4M_6$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_2M_3$, $ M_3M_6$, $ M_2q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$ | . | -1 | 2*t^2.28 + 2*t^2.36 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.81 + 3*t^4.55 + 4*t^4.64 + 5*t^4.73 + 5*t^4.82 + 3*t^4.91 + t^4.99 + t^5.08 + 3*t^5.82 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.18 + t^6.26 + t^6.35 + 4*t^6.83 + 6*t^6.92 + 8*t^7.01 + 13*t^7.09 + 7*t^7.18 + 3*t^7.27 + 5*t^7.36 + 2*t^7.45 + t^7.54 + 2*t^7.62 + 4*t^8.1 + 2*t^8.19 - 2*t^8.28 - t^8.36 - 3*t^8.45 - 2*t^8.54 + 3*t^8.63 + 2*t^8.72 + t^8.81 + t^8.89 - t^4.18/y - (2*t^6.46)/y - (2*t^6.55)/y - t^6.72/y + t^7.55/y + (5*t^7.64)/y + (3*t^7.73)/y + (6*t^7.82)/y + (4*t^7.91)/y + t^7.99/y - (3*t^8.74)/y + t^8.91/y - t^4.18*y - 2*t^6.46*y - 2*t^6.55*y - t^6.72*y + t^7.55*y + 5*t^7.64*y + 3*t^7.73*y + 6*t^7.82*y + 4*t^7.91*y + t^7.99*y - 3*t^8.74*y + t^8.91*y | (2*t^2.28)/g1^14 + (2*t^2.36)/g1^4 + g1^6*t^2.45 + g1^16*t^2.54 + (2*t^3.55)/g1^6 + g1^24*t^3.81 + (3*t^4.55)/g1^28 + (4*t^4.64)/g1^18 + (5*t^4.73)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.91 + g1^22*t^4.99 + g1^32*t^5.08 + (3*t^5.82)/g1^20 + (2*t^5.91)/g1^10 - t^6. + 2*g1^10*t^6.09 + g1^20*t^6.18 + g1^30*t^6.26 + g1^40*t^6.35 + (4*t^6.83)/g1^42 + (6*t^6.92)/g1^32 + (8*t^7.01)/g1^22 + (13*t^7.09)/g1^12 + (7*t^7.18)/g1^2 + 3*g1^8*t^7.27 + 5*g1^18*t^7.36 + 2*g1^28*t^7.45 + g1^38*t^7.54 + 2*g1^48*t^7.62 + (4*t^8.1)/g1^34 + (2*t^8.19)/g1^24 - (2*t^8.28)/g1^14 - t^8.36/g1^4 - 3*g1^6*t^8.45 - 2*g1^16*t^8.54 + 3*g1^26*t^8.63 + 2*g1^36*t^8.72 + g1^46*t^8.81 + g1^56*t^8.89 - t^4.18/(g1^2*y) - (2*t^6.46)/(g1^16*y) - (2*t^6.55)/(g1^6*y) - (g1^14*t^6.72)/y + t^7.55/(g1^28*y) + (5*t^7.64)/(g1^18*y) + (3*t^7.73)/(g1^8*y) + (6*g1^2*t^7.82)/y + (4*g1^12*t^7.91)/y + (g1^22*t^7.99)/y - (3*t^8.74)/(g1^30*y) + t^8.91/(g1^10*y) - (t^4.18*y)/g1^2 - (2*t^6.46*y)/g1^16 - (2*t^6.55*y)/g1^6 - g1^14*t^6.72*y + (t^7.55*y)/g1^28 + (5*t^7.64*y)/g1^18 + (3*t^7.73*y)/g1^8 + 6*g1^2*t^7.82*y + 4*g1^12*t^7.91*y + g1^22*t^7.99*y - (3*t^8.74*y)/g1^30 + (t^8.91*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
742 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6476 | 0.8091 | 0.8003 | [X:[], M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | t^2.32 + 2*t^2.38 + t^2.43 + t^2.49 + 2*t^3.57 + t^3.68 + t^3.74 + t^4.64 + 2*t^4.7 + 4*t^4.75 + 4*t^4.81 + 3*t^4.87 + t^4.92 + t^4.98 + t^5.89 + 2*t^5.94 - t^4.19/y - t^4.19*y | detail |