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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8421 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ | 1.1397 | 1.2387 | 0.9201 | [X:[1.648], M:[1.296, 1.056, 0.88], q:[0.472, 0.472], qb:[], phi:[0.176]] | [X:[[0, 2]], M:[[0, 4], [0, -6], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_3^2$, $ M_2M_3$ | $M_3\phi_1q_1^2$, $ M_3\phi_1q_2^2$ | -2 | t^2.64 + t^3.17 + 2*t^3.36 + 2*t^3.89 + 3*t^4.42 + t^4.94 + t^5.28 + t^5.81 - 2*t^6. + t^6.34 + t^6.53 + 3*t^6.72 + 2*t^7.06 + 4*t^7.25 + t^7.58 + 8*t^7.78 + t^7.92 + 2*t^8.11 + 5*t^8.3 + t^8.45 - t^8.64 + 6*t^8.83 + t^8.98 + t^8.11/y^2 - t^3.53/y - t^4.58/y - t^6.17/y - t^6.7/y - (2*t^6.89)/y - t^7.22/y - t^7.42/y - t^7.75/y - (2*t^7.94)/y - t^8.47/y - t^3.53*y - t^4.58*y - t^6.17*y - t^6.7*y - 2*t^6.89*y - t^7.22*y - t^7.42*y - t^7.75*y - 2*t^7.94*y - t^8.47*y + t^8.11*y^2 | t^2.64/g2^5 + t^3.17/g2^6 + (g1^2*t^3.36)/g2 + (g2^11*t^3.36)/g1^2 + 2*g2^4*t^3.89 + (g1^2*t^4.42)/g2^3 + g2^3*t^4.42 + (g2^9*t^4.42)/g1^2 + g2^2*t^4.94 + t^5.28/g2^10 + t^5.81/g2^11 - 2*t^6. + t^6.34/g2^12 + t^6.53/g2 + (g1^4*t^6.72)/g2^2 + g2^10*t^6.72 + (g2^22*t^6.72)/g1^4 + (2*t^7.06)/g2^2 + 2*g1^2*g2^3*t^7.25 + (2*g2^15*t^7.25)/g1^2 + t^7.58/g2^3 + (g1^4*t^7.78)/g2^4 + g1^2*g2^2*t^7.78 + 4*g2^8*t^7.78 + (g2^14*t^7.78)/g1^2 + (g2^20*t^7.78)/g1^4 + t^7.92/g2^15 + (2*t^8.11)/g2^4 + 2*g1^2*g2*t^8.3 + g2^7*t^8.3 + (2*g2^13*t^8.3)/g1^2 + t^8.45/g2^16 - t^8.64/g2^5 + g1^2*t^8.83 + (g1^4*t^8.83)/g2^6 + 2*g2^6*t^8.83 + (g2^12*t^8.83)/g1^2 + (g2^18*t^8.83)/g1^4 + t^8.98/g2^17 + t^8.11/(g2^4*y^2) - t^3.53/(g2*y) - t^4.58/(g2^3*y) - t^6.17/(g2^6*y) - t^6.7/(g2^7*y) - (g1^2*t^6.89)/(g2^2*y) - (g2^10*t^6.89)/(g1^2*y) - t^7.22/(g2^8*y) - (g2^3*t^7.42)/y - t^7.75/(g2^9*y) - (g1^2*t^7.94)/(g2^4*y) - (g2^8*t^7.94)/(g1^2*y) - (g2*t^8.47)/y - (t^3.53*y)/g2 - (t^4.58*y)/g2^3 - (t^6.17*y)/g2^6 - (t^6.7*y)/g2^7 - (g1^2*t^6.89*y)/g2^2 - (g2^10*t^6.89*y)/g1^2 - (t^7.22*y)/g2^8 - g2^3*t^7.42*y - (t^7.75*y)/g2^9 - (g1^2*t^7.94*y)/g2^4 - (g2^8*t^7.94*y)/g1^2 - g2*t^8.47*y + (t^8.11*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|---|
8215 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ | 1.1302 | 1.2274 | 0.9208 | [X:[1.635], M:[1.27, 1.095], q:[0.4525, 0.4525], qb:[], phi:[0.1825]] | 3*t^3.26 + t^3.29 + 2*t^3.81 + 3*t^4.36 + t^4.9 - 4*t^6. - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*y | detail |