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 |
---|---|---|---|---|---|---|---|---|---|
1084 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ + $ M_6q_1q_2$ | 0.507 | 0.6225 | 0.8145 | [X:[1.4241], M:[0.8797, 1.2321, 0.5759, 0.8481, 1.1519, 0.9599], q:[0.808, 0.2321], qb:[0.8882, 0.5359], phi:[0.384]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-6], [-5]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_4$, $ M_1$, $ M_6$, $ M_5$, $ M_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_1M_4$, $ M_6\phi_1^2$, $ M_1^2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_6$, $ M_6^2$, $ M_5\phi_1^2$ | . | -1 | t^2.3 + t^2.54 + t^2.64 + t^2.88 + t^3.46 + t^3.7 + t^4.27 + t^4.37 + t^4.51 + t^4.61 + t^4.85 + t^5.09 + t^5.18 + t^5.28 + t^5.42 + t^5.52 + t^5.76 - t^6. - t^6.24 + t^6.34 + t^6.48 + t^6.58 + 2*t^6.67 + 2*t^6.91 + t^7.01 + t^7.15 + t^7.25 + t^7.39 + t^7.73 + t^7.82 + t^7.92 + 2*t^8.06 + t^8.16 - t^8.21 - 2*t^8.54 - t^8.64 + t^8.73 + t^8.78 - 2*t^8.88 + t^8.97 - t^4.15/y - t^6.79/y - t^7.03/y + t^7.27/y + t^7.51/y + t^7.85/y + t^7.94/y + (2*t^8.18)/y + t^8.42/y + t^8.52/y + t^8.76/y - t^4.15*y - t^6.79*y - t^7.03*y + t^7.27*y + t^7.51*y + t^7.85*y + t^7.94*y + 2*t^8.18*y + t^8.42*y + t^8.52*y + t^8.76*y | t^2.3/g1^4 + g1^6*t^2.54 + t^2.64/g1^15 + t^2.88/g1^5 + t^3.46/g1^6 + g1^4*t^3.7 + g1^3*t^4.27 + t^4.37/g1^18 + g1^13*t^4.51 + t^4.61/g1^8 + g1^2*t^4.85 + g1^12*t^5.09 + t^5.18/g1^9 + t^5.28/g1^30 + g1*t^5.42 + t^5.52/g1^20 + t^5.76/g1^10 - t^6. - g1^10*t^6.24 + t^6.34/g1^11 + g1^20*t^6.48 + t^6.58/g1 + (2*t^6.67)/g1^22 + (2*t^6.91)/g1^12 + t^7.01/g1^33 + t^7.15/g1^2 + t^7.25/g1^23 + g1^8*t^7.39 + t^7.73/g1^3 + t^7.82/g1^24 + t^7.92/g1^45 + (2*t^8.06)/g1^14 + t^8.16/g1^35 - g1^17*t^8.21 - 2*g1^6*t^8.54 - t^8.64/g1^15 + t^8.73/g1^36 + g1^16*t^8.78 - (2*t^8.88)/g1^5 + t^8.97/g1^26 - t^4.15/(g1^2*y) - t^6.79/(g1^17*y) - t^7.03/(g1^7*y) + (g1^3*t^7.27)/y + (g1^13*t^7.51)/y + (g1^2*t^7.85)/y + t^7.94/(g1^19*y) + (2*t^8.18)/(g1^9*y) + (g1*t^8.42)/y + t^8.52/(g1^20*y) + t^8.76/(g1^10*y) - (t^4.15*y)/g1^2 - (t^6.79*y)/g1^17 - (t^7.03*y)/g1^7 + g1^3*t^7.27*y + g1^13*t^7.51*y + g1^2*t^7.85*y + (t^7.94*y)/g1^19 + (2*t^8.18*y)/g1^9 + g1*t^8.42*y + (t^8.52*y)/g1^20 + (t^8.76*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 |
---|---|---|---|---|---|---|---|---|
1685 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ + $ M_6q_1q_2$ + $ M_5M_7$ | 0.5207 | 0.6457 | 0.8064 | [X:[1.4187], M:[0.9066, 1.2249, 0.5813, 0.8373, 1.1627, 0.9689, 0.8373], q:[0.8062, 0.2249], qb:[0.8685, 0.5502], phi:[0.3876]] | t^2.33 + 2*t^2.51 + t^2.72 + t^2.91 + t^3.67 + t^4.26 + t^4.44 + t^4.46 + t^4.65 + 2*t^4.84 + 3*t^5.02 + 2*t^5.23 + 2*t^5.42 + t^5.44 + t^5.63 - 2*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
675 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_3X_1$ | 0.5037 | 0.6166 | 0.8169 | [X:[1.4182], M:[0.9089, 1.2243, 0.5818, 0.8364, 1.1636], q:[0.8061, 0.2243], qb:[0.8668, 0.5514], phi:[0.3879]] | t^2.33 + t^2.51 + t^2.73 + t^3.09 + t^3.49 + t^3.67 + t^4.25 + t^4.44 + t^4.47 + t^4.65 + t^4.84 + t^5.02 + t^5.42 + t^5.45 + t^5.6 + t^5.82 - t^6. - t^4.16/y - t^4.16*y | detail |