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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6479 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6041 | 0.7673 | 0.7874 | [X:[1.3387], M:[1.0337, 0.6613, 0.9663, 0.7287, 1.2713, 0.9663, 0.915, 0.78, 0.8475], q:[0.6356, 0.3306], qb:[0.3981, 0.9406], phi:[0.4238]] | [X:[[22]], M:[[14], [-22], [-14], [6], [-6], [-14], [24], [-32], [-4]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_8$, $ M_9$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_6$, $ M_5$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_8$, $ M_8^2$, $ M_4M_9$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_8M_9$, $ M_8\phi_1^2$, $ M_4M_7$, $ M_3M_4$, $ M_4M_6$, $ M_7M_8$, $ M_9^2$, $ M_9\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_8$, $ M_6M_8$, $ M_7M_9$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_9$, $ M_6M_9$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_7^2$, $ M_3M_7$, $ M_6M_7$, $ M_3^2$, $ M_3M_6$, $ M_6^2$ | . | -2 | t^2.19 + t^2.34 + 2*t^2.54 + t^2.74 + 2*t^2.9 + t^3.81 + t^4.02 + t^4.37 + t^4.53 + t^4.68 + 3*t^4.73 + 2*t^4.88 + t^4.93 + 6*t^5.09 + 2*t^5.24 + 2*t^5.29 + 3*t^5.44 + t^5.49 + t^5.64 + 2*t^5.8 - 2*t^6. + t^6.15 + t^6.36 + 2*t^6.56 + t^6.71 + t^6.76 + t^6.87 + t^6.91 + t^7.02 + 2*t^7.07 + 2*t^7.22 + 5*t^7.27 + 6*t^7.43 + t^7.47 + 2*t^7.58 + 10*t^7.63 + t^7.68 + 3*t^7.78 + 4*t^7.83 + 6*t^7.98 + 3*t^8.03 + 2*t^8.14 - 3*t^8.19 + t^8.23 + t^8.49 - 5*t^8.54 + 3*t^8.7 - 3*t^8.74 - 3*t^8.9 - t^4.27/y - t^6.61/y - (2*t^6.81)/y - t^7.02/y - t^7.17/y + t^7.37/y + (2*t^7.53)/y + (4*t^7.73)/y + (2*t^7.88)/y + (2*t^7.93)/y + (4*t^8.09)/y + (2*t^8.24)/y + (2*t^8.29)/y + (4*t^8.44)/y + (2*t^8.64)/y + t^8.8/y - t^8.95/y - t^4.27*y - t^6.61*y - 2*t^6.81*y - t^7.02*y - t^7.17*y + t^7.37*y + 2*t^7.53*y + 4*t^7.73*y + 2*t^7.88*y + 2*t^7.93*y + 4*t^8.09*y + 2*t^8.24*y + 2*t^8.29*y + 4*t^8.44*y + 2*t^8.64*y + t^8.8*y - t^8.95*y | g1^6*t^2.19 + t^2.34/g1^32 + (2*t^2.54)/g1^4 + g1^24*t^2.74 + (2*t^2.9)/g1^14 + t^3.81/g1^6 + g1^22*t^4.02 + g1^12*t^4.37 + t^4.53/g1^26 + t^4.68/g1^64 + 3*g1^2*t^4.73 + (2*t^4.88)/g1^36 + g1^30*t^4.93 + (6*t^5.09)/g1^8 + (2*t^5.24)/g1^46 + 2*g1^20*t^5.29 + (3*t^5.44)/g1^18 + g1^48*t^5.49 + g1^10*t^5.64 + (2*t^5.8)/g1^28 - 2*t^6. + t^6.15/g1^38 + t^6.36/g1^10 + 2*g1^18*t^6.56 + t^6.71/g1^20 + g1^46*t^6.76 + t^6.87/g1^58 + g1^8*t^6.91 + t^7.02/g1^96 + (2*t^7.07)/g1^30 + (2*t^7.22)/g1^68 + (5*t^7.27)/g1^2 + (6*t^7.43)/g1^40 + g1^26*t^7.47 + (2*t^7.58)/g1^78 + (10*t^7.63)/g1^12 + g1^54*t^7.68 + (3*t^7.78)/g1^50 + 4*g1^16*t^7.83 + (6*t^7.98)/g1^22 + 3*g1^44*t^8.03 + (2*t^8.14)/g1^60 - 3*g1^6*t^8.19 + g1^72*t^8.23 + t^8.49/g1^70 - (5*t^8.54)/g1^4 + (3*t^8.7)/g1^42 - 3*g1^24*t^8.74 - (3*t^8.9)/g1^14 - t^4.27/(g1^2*y) - t^6.61/(g1^34*y) - (2*t^6.81)/(g1^6*y) - (g1^22*t^7.02)/y - t^7.17/(g1^16*y) + (g1^12*t^7.37)/y + (2*t^7.53)/(g1^26*y) + (4*g1^2*t^7.73)/y + (2*t^7.88)/(g1^36*y) + (2*g1^30*t^7.93)/y + (4*t^8.09)/(g1^8*y) + (2*t^8.24)/(g1^46*y) + (2*g1^20*t^8.29)/y + (4*t^8.44)/(g1^18*y) + (2*g1^10*t^8.64)/y + t^8.8/(g1^28*y) - t^8.95/(g1^66*y) - (t^4.27*y)/g1^2 - (t^6.61*y)/g1^34 - (2*t^6.81*y)/g1^6 - g1^22*t^7.02*y - (t^7.17*y)/g1^16 + g1^12*t^7.37*y + (2*t^7.53*y)/g1^26 + 4*g1^2*t^7.73*y + (2*t^7.88*y)/g1^36 + 2*g1^30*t^7.93*y + (4*t^8.09*y)/g1^8 + (2*t^8.24*y)/g1^46 + 2*g1^20*t^8.29*y + (4*t^8.44*y)/g1^18 + 2*g1^10*t^8.64*y + (t^8.8*y)/g1^28 - (t^8.95*y)/g1^66 |
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 |
---|---|---|---|---|---|---|---|---|---|
4878 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.5909 | 0.7443 | 0.7939 | [X:[1.3339], M:[1.0307, 0.6661, 0.9693, 0.7274, 1.2726, 0.9693, 0.9097, 0.787], q:[0.6363, 0.333], qb:[0.3944, 0.9395], phi:[0.4242]] | t^2.18 + t^2.36 + t^2.55 + t^2.73 + 2*t^2.91 + t^3.45 + t^3.82 + t^4. + t^4.36 + t^4.54 + t^4.72 + 2*t^4.73 + 2*t^4.91 + 4*t^5.09 + 3*t^5.27 + t^5.45 + t^5.46 + 2*t^5.64 + 3*t^5.82 - t^6. - t^4.27/y - t^4.27*y | detail |