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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8556 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1788 | 1.3365 | 0.882 | [X:[1.6512], M:[0.6975, 0.8719, 0.6975], q:[0.564, 0.3897], qb:[], phi:[0.1744]] | [X:[[4]], M:[[-8], [-10], [-8]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_3$, $ \phi_1^4$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\phi_1^4$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_1M_2$, $ M_2M_3$, $ M_2\phi_1^4$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ M_1\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_2^2$, $ M_2q_1q_2$, $ M_2\phi_1q_2^2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | $M_1\phi_1^2q_1q_2$, $ M_3\phi_1^2q_1q_2$ | 0 | 3*t^2.09 + t^2.62 + 2*t^2.86 + t^3.91 + 6*t^4.19 + t^4.43 + 3*t^4.71 + 8*t^4.95 + t^5.23 + t^5.48 + 3*t^5.72 + 10*t^6.28 + t^6.52 + 2*t^6.77 + 6*t^6.8 + 16*t^7.05 + 2*t^7.29 + 3*t^7.32 + 3*t^7.57 + 12*t^7.81 + t^7.85 - 2*t^8.09 + t^8.34 + 15*t^8.37 + 4*t^8.58 - 7*t^8.62 - t^8.86 + 10*t^8.89 + t^8.09/y^2 - (3*t^8.62)/y^2 - t^3.52/y - t^4.57/y - (3*t^5.62)/y - t^6.14/y - (2*t^6.38)/y - (3*t^6.66)/y + (2*t^7.19)/y - t^7.43/y - (3*t^7.71)/y + (6*t^7.95)/y - (3*t^8.23)/y - (3*t^8.48)/y + t^8.72/y - (7*t^8.75)/y - t^3.52*y - t^4.57*y - 3*t^5.62*y - t^6.14*y - 2*t^6.38*y - 3*t^6.66*y + 2*t^7.19*y - t^7.43*y - 3*t^7.71*y + 6*t^7.95*y - 3*t^8.23*y - 3*t^8.48*y + t^8.72*y - 7*t^8.75*y + t^8.09*y^2 - 3*t^8.62*y^2 | (3*t^2.09)/g1^8 + t^2.62/g1^10 + 2*g1^12*t^2.86 + g1^8*t^3.91 + (6*t^4.19)/g1^16 + g1^6*t^4.43 + (3*t^4.71)/g1^18 + 8*g1^4*t^4.95 + t^5.23/g1^20 + g1^2*t^5.48 + 3*g1^24*t^5.72 + (10*t^6.28)/g1^24 + t^6.52/g1^2 + 2*g1^20*t^6.77 + (6*t^6.8)/g1^26 + (16*t^7.05)/g1^4 + 2*g1^18*t^7.29 + (3*t^7.32)/g1^28 + (3*t^7.57)/g1^6 + 12*g1^16*t^7.81 + t^7.85/g1^30 - (2*t^8.09)/g1^8 + g1^14*t^8.34 + (15*t^8.37)/g1^32 + 4*g1^36*t^8.58 - (7*t^8.62)/g1^10 - g1^12*t^8.86 + (10*t^8.89)/g1^34 + t^8.09/(g1^8*y^2) - (3*t^8.62)/(g1^10*y^2) - t^3.52/(g1^2*y) - t^4.57/(g1^6*y) - (3*t^5.62)/(g1^10*y) - t^6.14/(g1^12*y) - (2*g1^10*t^6.38)/y - (3*t^6.66)/(g1^14*y) + (2*t^7.19)/(g1^16*y) - (g1^6*t^7.43)/y - (3*t^7.71)/(g1^18*y) + (6*g1^4*t^7.95)/y - (3*t^8.23)/(g1^20*y) - (3*g1^2*t^8.48)/y + (g1^24*t^8.72)/y - (7*t^8.75)/(g1^22*y) - (t^3.52*y)/g1^2 - (t^4.57*y)/g1^6 - (3*t^5.62*y)/g1^10 - (t^6.14*y)/g1^12 - 2*g1^10*t^6.38*y - (3*t^6.66*y)/g1^14 + (2*t^7.19*y)/g1^16 - g1^6*t^7.43*y - (3*t^7.71*y)/g1^18 + 6*g1^4*t^7.95*y - (3*t^8.23*y)/g1^20 - 3*g1^2*t^8.48*y + g1^24*t^8.72*y - (7*t^8.75*y)/g1^22 + (t^8.09*y^2)/g1^8 - (3*t^8.62*y^2)/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 |
---|---|---|---|---|---|---|---|---|---|
8398 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1q_2$ | 1.1582 | 1.2973 | 0.8928 | [X:[1.6498], M:[0.7004, 0.8755], q:[0.5623, 0.3872], qb:[], phi:[0.1751]] | 2*t^2.1 + t^2.63 + 2*t^2.85 + 2*t^3.9 + 3*t^4.2 + t^4.42 + 2*t^4.73 + 6*t^4.95 + t^5.25 + t^5.47 + 3*t^5.7 + t^6. - t^3.53/y - t^4.58/y - (2*t^5.63)/y - t^3.53*y - t^4.58*y - 2*t^5.63*y | detail |