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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8821 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1363 | 1.2897 | 0.8811 | [X:[1.5846], M:[1.1691, 1.0386, 0.8309, 0.8309], q:[0.3116, 0.4421], qb:[], phi:[0.2077]] | [X:[[4]], M:[[8], [-10], [-8], [-8]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$q_1q_2$, $ M_3$, $ M_4$, $ \phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_2q_1q_2$, $ \phi_1q_1q_2^3$, $ M_2M_3$, $ M_2M_4$, $ M_2\phi_1^4$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ \phi_1^5q_2^2$ | $\phi_1^3q_1^3q_2$ | -1 | t^2.26 + 3*t^2.49 + t^3.12 + t^3.28 + t^3.74 + t^4.13 + 2*t^4.52 + 4*t^4.75 + 6*t^4.99 + t^5.38 + t^5.54 + 2*t^5.61 + 3*t^5.77 - t^6. + 3*t^6.23 + t^6.39 + t^6.55 + 2*t^6.62 + 2*t^6.78 + 6*t^7.01 + 8*t^7.25 + t^7.41 + 10*t^7.48 + 2*t^7.8 + 3*t^7.87 + 3*t^8.03 + 3*t^8.1 + 4*t^8.26 - 2*t^8.49 + 2*t^8.65 + 5*t^8.72 + t^8.81 - t^8.88 + t^8.49/y^2 - t^8.88/y^2 - t^3.62/y - t^4.87/y - t^5.88/y - (3*t^6.12)/y - t^6.74/y - t^6.9/y - (3*t^7.36)/y + (3*t^7.75)/y + (2*t^7.99)/y - (2*t^8.15)/y - t^8.38/y + t^8.54/y - (3*t^8.61)/y + (3*t^8.77)/y - t^3.62*y - t^4.87*y - t^5.88*y - 3*t^6.12*y - t^6.74*y - t^6.9*y - 3*t^7.36*y + 3*t^7.75*y + 2*t^7.99*y - 2*t^8.15*y - t^8.38*y + t^8.54*y - 3*t^8.61*y + 3*t^8.77*y + t^8.49*y^2 - t^8.88*y^2 | g1^12*t^2.26 + (3*t^2.49)/g1^8 + t^3.12/g1^10 + g1^28*t^3.28 + t^3.74/g1^12 + g1^6*t^4.13 + 2*g1^24*t^4.52 + 4*g1^4*t^4.75 + (6*t^4.99)/g1^16 + g1^2*t^5.38 + g1^40*t^5.54 + (2*t^5.61)/g1^18 + 3*g1^20*t^5.77 - t^6. + (3*t^6.23)/g1^20 + g1^18*t^6.39 + g1^56*t^6.55 + (2*t^6.62)/g1^2 + 2*g1^36*t^6.78 + 6*g1^16*t^7.01 + (8*t^7.25)/g1^4 + g1^34*t^7.41 + (10*t^7.48)/g1^24 + 2*g1^52*t^7.8 + (3*t^7.87)/g1^6 + 3*g1^32*t^8.03 + (3*t^8.1)/g1^26 + 4*g1^12*t^8.26 - (2*t^8.49)/g1^8 + 2*g1^30*t^8.65 + (5*t^8.72)/g1^28 + g1^68*t^8.81 - g1^10*t^8.88 + t^8.49/(g1^8*y^2) - (g1^10*t^8.88)/y^2 - t^3.62/(g1^2*y) - t^4.87/(g1^6*y) - (g1^10*t^5.88)/y - (3*t^6.12)/(g1^10*y) - t^6.74/(g1^12*y) - (g1^26*t^6.9)/y - (3*t^7.36)/(g1^14*y) + (3*g1^4*t^7.75)/y + (2*t^7.99)/(g1^16*y) - (2*g1^22*t^8.15)/y - (g1^2*t^8.38)/y + (g1^40*t^8.54)/y - (3*t^8.61)/(g1^18*y) + (3*g1^20*t^8.77)/y - (t^3.62*y)/g1^2 - (t^4.87*y)/g1^6 - g1^10*t^5.88*y - (3*t^6.12*y)/g1^10 - (t^6.74*y)/g1^12 - g1^26*t^6.9*y - (3*t^7.36*y)/g1^14 + 3*g1^4*t^7.75*y + (2*t^7.99*y)/g1^16 - 2*g1^22*t^8.15*y - g1^2*t^8.38*y + g1^40*t^8.54*y - (3*t^8.61*y)/g1^18 + 3*g1^20*t^8.77*y + (t^8.49*y^2)/g1^8 - g1^10*t^8.88*y^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
8646 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ | 1.122 | 1.2656 | 0.8865 | [X:[1.5822], M:[1.1643, 1.0446, 0.8357], q:[0.3134, 0.4331], qb:[], phi:[0.2089]] | t^2.24 + 2*t^2.51 + t^3.13 + t^3.23 + t^3.49 + t^3.76 + t^4.12 + 2*t^4.48 + 3*t^4.75 + 3*t^5.01 + t^5.37 + t^5.46 + t^5.64 + 3*t^5.73 + t^6. - t^3.63/y - t^4.88/y - t^5.87/y - t^3.63*y - t^4.88*y - t^5.87*y | detail |