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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4180 | 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1^2$ | 0.6824 | 0.8623 | 0.7914 | [X:[], M:[1.1539, 1.0897, 0.9424, 0.8461, 0.8461, 0.6988, 0.7309, 1.0897], q:[0.7724, 0.3494], qb:[0.4967, 0.5609], phi:[0.4551]] | [X:[], M:[[8], [-4], [10], [-8], [-8], [6], [12], [-4]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ M_7$, $ M_4$, $ M_5$, $ M_3$, $ M_2$, $ M_8$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ M_4M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_7$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_3M_4$, $ M_3M_5$, $ M_2M_6$, $ M_6M_8$, $ M_2M_7$, $ M_7M_8$, $ M_6q_1q_2$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4M_8$, $ M_5M_8$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -3 | t^2.1 + t^2.19 + 2*t^2.54 + t^2.83 + 2*t^3.27 + t^3.37 + t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.35 + t^4.39 + t^4.54 + 2*t^4.63 + 3*t^4.73 + t^4.92 + t^5.02 + 3*t^5.08 + 3*t^5.37 + 3*t^5.46 + t^5.65 + 3*t^5.81 + 2*t^5.9 - 3*t^6. + 2*t^6.1 + 2*t^6.19 + 2*t^6.29 + t^6.39 + t^6.48 + 4*t^6.54 + t^6.58 + 2*t^6.63 + t^6.73 + 3*t^6.83 + 2*t^6.88 + 3*t^6.92 + t^7.02 + t^7.08 + t^7.12 + 2*t^7.17 + t^7.21 + 4*t^7.27 + t^7.37 + 3*t^7.46 + 4*t^7.56 + 5*t^7.61 + 2*t^7.65 + t^7.75 - t^7.81 + t^7.85 + 3*t^7.9 + 4*t^8. - 2*t^8.1 + 3*t^8.29 + 4*t^8.35 + 2*t^8.39 + 2*t^8.44 + 3*t^8.48 - 6*t^8.54 + t^8.58 + 2*t^8.63 + t^8.67 + t^8.69 + 6*t^8.73 + t^8.77 - t^8.83 + t^8.88 + 2*t^8.92 - t^4.37/y - t^6.46/y - t^6.56/y - t^6.9/y + t^7.1/y - t^7.19/y + t^7.29/y + t^7.54/y + t^7.63/y + (2*t^7.73)/y + t^7.83/y + t^7.92/y + t^8.02/y + t^8.08/y + t^8.17/y + t^8.27/y + (4*t^8.37)/y + (3*t^8.46)/y - t^8.65/y - t^8.75/y + (4*t^8.81)/y + (2*t^8.9)/y - t^4.37*y - t^6.46*y - t^6.56*y - t^6.9*y + t^7.1*y - t^7.19*y + t^7.29*y + t^7.54*y + t^7.63*y + 2*t^7.73*y + t^7.83*y + t^7.92*y + t^8.02*y + t^8.08*y + t^8.17*y + t^8.27*y + 4*t^8.37*y + 3*t^8.46*y - t^8.65*y - t^8.75*y + 4*t^8.81*y + 2*t^8.9*y | g1^6*t^2.1 + g1^12*t^2.19 + (2*t^2.54)/g1^8 + g1^10*t^2.83 + (2*t^3.27)/g1^4 + g1^2*t^3.37 + t^4. + g1^6*t^4.1 + g1^12*t^4.19 + g1^18*t^4.29 + t^4.35/g1^20 + g1^24*t^4.39 + t^4.54/g1^8 + (2*t^4.63)/g1^2 + 3*g1^4*t^4.73 + g1^16*t^4.92 + g1^22*t^5.02 + (3*t^5.08)/g1^16 + 3*g1^2*t^5.37 + 3*g1^8*t^5.46 + g1^20*t^5.65 + (3*t^5.81)/g1^12 + (2*t^5.9)/g1^6 - 3*t^6. + 2*g1^6*t^6.1 + 2*g1^12*t^6.19 + 2*g1^18*t^6.29 + g1^24*t^6.39 + g1^30*t^6.48 + (4*t^6.54)/g1^8 + g1^36*t^6.58 + (2*t^6.63)/g1^2 + g1^4*t^6.73 + 3*g1^10*t^6.83 + (2*t^6.88)/g1^28 + 3*g1^16*t^6.92 + g1^22*t^7.02 + t^7.08/g1^16 + g1^28*t^7.12 + (2*t^7.17)/g1^10 + g1^34*t^7.21 + (4*t^7.27)/g1^4 + g1^2*t^7.37 + 3*g1^8*t^7.46 + 4*g1^14*t^7.56 + (5*t^7.61)/g1^24 + 2*g1^20*t^7.65 + g1^26*t^7.75 - t^7.81/g1^12 + g1^32*t^7.85 + (3*t^7.9)/g1^6 + 4*t^8. - 2*g1^6*t^8.1 + 3*g1^18*t^8.29 + (4*t^8.35)/g1^20 + 2*g1^24*t^8.39 + (2*t^8.44)/g1^14 + 3*g1^30*t^8.48 - (6*t^8.54)/g1^8 + g1^36*t^8.58 + (2*t^8.63)/g1^2 + g1^42*t^8.67 + t^8.69/g1^40 + 6*g1^4*t^8.73 + g1^48*t^8.77 - g1^10*t^8.83 + t^8.88/g1^28 + 2*g1^16*t^8.92 - (g1^2*t^4.37)/y - (g1^8*t^6.46)/y - (g1^14*t^6.56)/y - t^6.9/(g1^6*y) + (g1^6*t^7.1)/y - (g1^12*t^7.19)/y + (g1^18*t^7.29)/y + t^7.54/(g1^8*y) + t^7.63/(g1^2*y) + (2*g1^4*t^7.73)/y + (g1^10*t^7.83)/y + (g1^16*t^7.92)/y + (g1^22*t^8.02)/y + t^8.08/(g1^16*y) + t^8.17/(g1^10*y) + t^8.27/(g1^4*y) + (4*g1^2*t^8.37)/y + (3*g1^8*t^8.46)/y - (g1^20*t^8.65)/y - (g1^26*t^8.75)/y + (4*t^8.81)/(g1^12*y) + (2*t^8.9)/(g1^6*y) - g1^2*t^4.37*y - g1^8*t^6.46*y - g1^14*t^6.56*y - (t^6.9*y)/g1^6 + g1^6*t^7.1*y - g1^12*t^7.19*y + g1^18*t^7.29*y + (t^7.54*y)/g1^8 + (t^7.63*y)/g1^2 + 2*g1^4*t^7.73*y + g1^10*t^7.83*y + g1^16*t^7.92*y + g1^22*t^8.02*y + (t^8.08*y)/g1^16 + (t^8.17*y)/g1^10 + (t^8.27*y)/g1^4 + 4*g1^2*t^8.37*y + 3*g1^8*t^8.46*y - g1^20*t^8.65*y - g1^26*t^8.75*y + (4*t^8.81*y)/g1^12 + (2*t^8.9*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
2184 | 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6908 | 0.8766 | 0.788 | [X:[], M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | t^2.08 + t^2.16 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^4. + t^4.08 + t^4.16 + t^4.23 + t^4.31 + t^4.41 + t^4.56 + 2*t^4.64 + 3*t^4.72 + t^4.8 + 2*t^4.88 + t^4.95 + 3*t^5.12 + 2*t^5.28 + 2*t^5.36 + 3*t^5.44 + t^5.52 + t^5.59 + t^5.84 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |