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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8483 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1965 | 1.3435 | 0.8906 | [X:[1.6484], M:[0.8789, 0.8789, 0.7031], q:[0.4727, 0.4727], qb:[], phi:[0.1758]] | [X:[[0, 2]], M:[[2, -11], [-2, 1], [0, -4]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ \phi_1^4$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1q_2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_2q_1q_2$, $ q_1^2q_2^2$ | . | -2 | 2*t^2.11 + 2*t^2.64 + t^2.84 + t^3.36 + 3*t^4.22 + 3*t^4.42 + 4*t^4.75 + 3*t^4.95 + 3*t^5.27 + 4*t^5.47 + t^5.67 - 2*t^6. + t^6.2 + 4*t^6.33 + 3*t^6.53 + t^6.73 + 6*t^6.86 + 8*t^7.05 + 3*t^7.25 + 6*t^7.38 + 6*t^7.58 + 5*t^7.78 + 4*t^7.91 + 2*t^8.31 + 5*t^8.44 + t^8.51 - 5*t^8.64 + 4*t^8.84 + 8*t^8.96 + t^8.11/y^2 - (2*t^8.64)/y^2 - t^3.53/y - t^4.58/y - (2*t^5.64)/y - (2*t^6.16)/y - t^6.36/y - (2*t^6.69)/y - t^6.89/y - t^7.22/y + t^7.75/y + t^7.95/y - (3*t^8.27)/y + (3*t^8.47)/y - (6*t^8.8)/y - t^3.53*y - t^4.58*y - 2*t^5.64*y - 2*t^6.16*y - t^6.36*y - 2*t^6.69*y - t^6.89*y - t^7.22*y + t^7.75*y + t^7.95*y - 3*t^8.27*y + 3*t^8.47*y - 6*t^8.8*y + t^8.11*y^2 - 2*t^8.64*y^2 | (2*t^2.11)/g2^4 + (g1^2*t^2.64)/g2^11 + (g2*t^2.64)/g1^2 + g2^6*t^2.84 + g2^5*t^3.36 + (3*t^4.22)/g2^8 + (g1^2*t^4.42)/g2^3 + g2^3*t^4.42 + (g2^9*t^4.42)/g1^2 + (2*g1^2*t^4.75)/g2^15 + (2*t^4.75)/(g1^2*g2^3) + 3*g2^2*t^4.95 + (g1^4*t^5.27)/g2^22 + t^5.27/g2^10 + (g2^2*t^5.27)/g1^4 + (g1^2*t^5.47)/g2^5 + 2*g2*t^5.47 + (g2^7*t^5.47)/g1^2 + g2^12*t^5.67 - 2*t^6. + g2^11*t^6.2 + (4*t^6.33)/g2^12 + (g1^2*t^6.53)/g2^7 + t^6.53/g2 + (g2^5*t^6.53)/g1^2 + g2^10*t^6.73 + (3*g1^2*t^6.86)/g2^19 + (3*t^6.86)/(g1^2*g2^7) + (g1^4*t^7.05)/g2^14 + (6*t^7.05)/g2^2 + (g2^10*t^7.05)/g1^4 + g1^2*g2^3*t^7.25 + g2^9*t^7.25 + (g2^15*t^7.25)/g1^2 + (2*g1^4*t^7.38)/g2^26 + (2*t^7.38)/g2^14 + (2*t^7.38)/(g1^4*g2^2) + (2*g1^2*t^7.58)/g2^9 + (2*t^7.58)/g2^3 + (2*g2^3*t^7.58)/g1^2 + g1^2*g2^2*t^7.78 + 3*g2^8*t^7.78 + (g2^14*t^7.78)/g1^2 + (g1^6*t^7.91)/g2^33 + (g1^2*t^7.91)/g2^21 + t^7.91/(g1^2*g2^9) + (g2^3*t^7.91)/g1^6 + (g1^4*t^8.11)/g2^16 - (2*t^8.11)/g2^4 + (g2^8*t^8.11)/g1^4 + 2*g2^7*t^8.31 + (5*t^8.44)/g2^16 + g2^18*t^8.51 - (g1^2*t^8.64)/g2^11 - (3*t^8.64)/g2^5 - (g2*t^8.64)/g1^2 + g1^2*t^8.84 + (g1^4*t^8.84)/g2^6 + (g2^12*t^8.84)/g1^2 + (g2^18*t^8.84)/g1^4 + (4*g1^2*t^8.96)/g2^23 + (4*t^8.96)/(g1^2*g2^11) + t^8.11/(g2^4*y^2) - (2*t^8.64)/(g2^5*y^2) - t^3.53/(g2*y) - t^4.58/(g2^3*y) - (2*t^5.64)/(g2^5*y) - t^6.16/(g1^2*y) - (g1^2*t^6.16)/(g2^12*y) - (g2^5*t^6.36)/y - (2*t^6.69)/(g2^7*y) - (g2^4*t^6.89)/y - (g1^2*t^7.22)/(g2^14*y) + t^7.22/(g2^8*y) - t^7.22/(g1^2*g2^2*y) + (2*g1^2*t^7.75)/(g2^15*y) - (3*t^7.75)/(g2^9*y) + (2*t^7.75)/(g1^2*g2^3*y) + (g2^2*t^7.95)/y - (2*g1^2*t^8.27)/(g2^16*y) + t^8.27/(g2^10*y) - (2*t^8.27)/(g1^2*g2^4*y) + (g1^2*t^8.47)/(g2^5*y) + (g2*t^8.47)/y + (g2^7*t^8.47)/(g1^2*y) - (g1^4*t^8.8)/(g2^23*y) - (4*t^8.8)/(g2^11*y) - (g2*t^8.8)/(g1^4*y) - (t^3.53*y)/g2 - (t^4.58*y)/g2^3 - (2*t^5.64*y)/g2^5 - (t^6.16*y)/g1^2 - (g1^2*t^6.16*y)/g2^12 - g2^5*t^6.36*y - (2*t^6.69*y)/g2^7 - g2^4*t^6.89*y - (g1^2*t^7.22*y)/g2^14 + (t^7.22*y)/g2^8 - (t^7.22*y)/(g1^2*g2^2) + (2*g1^2*t^7.75*y)/g2^15 - (3*t^7.75*y)/g2^9 + (2*t^7.75*y)/(g1^2*g2^3) + g2^2*t^7.95*y - (2*g1^2*t^8.27*y)/g2^16 + (t^8.27*y)/g2^10 - (2*t^8.27*y)/(g1^2*g2^4) + (g1^2*t^8.47*y)/g2^5 + g2*t^8.47*y + (g2^7*t^8.47*y)/g1^2 - (g1^4*t^8.8*y)/g2^23 - (4*t^8.8*y)/g2^11 - (g2*t^8.8*y)/g1^4 + (t^8.11*y^2)/g2^4 - (2*t^8.64*y^2)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|
8661 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_1q_2$ | 1.2082 | 1.3636 | 0.8861 | [X:[1.6568], M:[0.8581, 0.8581, 0.6865, 0.8581], q:[0.4852, 0.4852], qb:[], phi:[0.1716]] | 2*t^2.06 + 3*t^2.57 + t^2.91 + 3*t^4.12 + 3*t^4.46 + 6*t^4.63 + 3*t^4.97 + 6*t^5.15 + 3*t^5.49 + t^5.82 - 4*t^6. - t^3.51/y - t^4.54/y - (2*t^5.57)/y - t^3.51*y - t^4.54*y - 2*t^5.57*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 |
---|---|---|---|---|---|---|---|---|---|
8225 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1761 | 1.3049 | 0.9013 | [X:[1.6466], M:[0.8835, 0.8835], q:[0.4699, 0.4699], qb:[], phi:[0.1767]] | t^2.12 + 2*t^2.65 + t^2.82 + t^3.35 + t^3.88 + t^4.24 + 3*t^4.41 + 2*t^4.77 + 2*t^4.94 + 3*t^5.3 + 3*t^5.47 + t^5.64 - t^6. - t^3.53/y - t^4.59/y - t^5.65/y - t^3.53*y - t^4.59*y - t^5.65*y | detail |