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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1061 | 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ \phi_1^2$, $ M_4$, $ M_1$, $ q_1q_2$, $ M_6$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_5q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_5M_6$, $ M_6\phi_1^2$ | . | -2 | 2*t^2.32 + t^2.52 + t^2.69 + t^3.1 + t^3.48 + t^4.26 + t^4.43 + t^4.47 + 3*t^4.63 + 2*t^4.84 + t^5.01 + t^5.05 + t^5.38 + 2*t^5.42 + t^5.63 + 2*t^5.79 - 2*t^6. - t^6.21 - t^6.37 + t^6.42 + 2*t^6.58 + 3*t^6.74 + t^6.79 + 5*t^6.95 + t^7.12 + t^7.16 + t^7.32 + t^7.37 + t^7.57 + t^7.69 + 3*t^7.74 + t^7.9 + t^8.07 + 2*t^8.11 - t^8.15 - 4*t^8.32 - 3*t^8.52 - 3*t^8.69 + 2*t^8.73 + t^8.85 + 2*t^8.9 + t^8.94 - t^4.16/y - t^6.48/y - t^6.85/y + t^7.47/y + t^7.63/y + (3*t^7.84)/y + (2*t^8.01)/y + t^8.21/y + (2*t^8.42)/y + t^8.63/y + (2*t^8.79)/y - t^4.16*y - t^6.48*y - t^6.85*y + t^7.47*y + t^7.63*y + 3*t^7.84*y + 2*t^8.01*y + t^8.21*y + 2*t^8.42*y + t^8.63*y + 2*t^8.79*y | (2*t^2.32)/g1^4 + g1^6*t^2.52 + t^2.69/g1^15 + g1^5*t^3.1 + t^3.48/g1^6 + g1^3*t^4.26 + t^4.43/g1^18 + g1^13*t^4.47 + (3*t^4.63)/g1^8 + 2*g1^2*t^4.84 + t^5.01/g1^19 + g1^12*t^5.05 + t^5.38/g1^30 + 2*g1*t^5.42 + g1^11*t^5.63 + (2*t^5.79)/g1^10 - 2*t^6. - g1^10*t^6.21 - t^6.37/g1^11 + g1^20*t^6.42 + (2*t^6.58)/g1 + (3*t^6.74)/g1^22 + g1^9*t^6.79 + (5*t^6.95)/g1^12 + t^7.12/g1^33 + t^7.16/g1^2 + t^7.32/g1^23 + g1^8*t^7.37 + g1^18*t^7.57 + t^7.69/g1^34 + (3*t^7.74)/g1^3 + t^7.9/g1^24 + t^8.07/g1^45 + (2*t^8.11)/g1^14 - g1^17*t^8.15 - (4*t^8.32)/g1^4 - 3*g1^6*t^8.52 - (3*t^8.69)/g1^15 + 2*g1^16*t^8.73 + t^8.85/g1^36 + (2*t^8.9)/g1^5 + g1^26*t^8.94 - t^4.16/(g1^2*y) - t^6.48/(g1^6*y) - t^6.85/(g1^17*y) + (g1^13*t^7.47)/y + t^7.63/(g1^8*y) + (3*g1^2*t^7.84)/y + (2*t^8.01)/(g1^19*y) + t^8.21/(g1^9*y) + (2*g1*t^8.42)/y + (g1^11*t^8.63)/y + (2*t^8.79)/(g1^10*y) - (t^4.16*y)/g1^2 - (t^6.48*y)/g1^6 - (t^6.85*y)/g1^17 + g1^13*t^7.47*y + (t^7.63*y)/g1^8 + 3*g1^2*t^7.84*y + (2*t^8.01*y)/g1^19 + (t^8.21*y)/g1^9 + 2*g1*t^8.42*y + g1^11*t^8.63*y + (2*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
1654 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_4q_1q_2$ | 0.5056 | 0.6363 | 0.7946 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 3*t^2.18 + t^2.73 + 2*t^3.27 + t^3.82 + 6*t^4.36 + 3*t^4.91 + 5*t^5.45 + 2*t^6. - t^4.09/y - t^4.09*y | detail | {a: 10767/21296, c: 6775/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
1652 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | 2*t^2.34 + 2*t^2.49 + t^2.77 + t^3.08 + t^4.25 + t^4.4 + t^4.52 + 3*t^4.68 + 4*t^4.83 + 3*t^4.99 + t^5.1 + t^5.26 + 2*t^5.42 + t^5.53 + 2*t^5.57 - 3*t^6. - t^4.17/y - t^4.17*y | detail | |
1655 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_7q_1q_2$ | 0.5253 | 0.6558 | 0.801 | [X:[1.4264], M:[0.8681, 1.2352, 0.5736, 0.8528, 0.7648, 1.1472, 0.956], q:[0.8088, 0.2352], qb:[0.8967, 0.5297], phi:[0.3824]] | 2*t^2.29 + t^2.56 + t^2.6 + t^2.87 + t^3.44 + t^4.28 + t^4.33 + t^4.54 + 3*t^4.59 + 2*t^4.85 + t^4.9 + t^5.12 + 2*t^5.16 + t^5.21 + t^5.43 + t^5.47 + 2*t^5.74 - 2*t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
663 | 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_2M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail |