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 |
---|---|---|---|---|---|---|---|---|---|
679 | 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_5\phi_1\tilde{q}_2^2$ | 0.6911 | 0.8637 | 0.8002 | [X:[], M:[0.9807, 1.1197, 0.9807, 0.6795, 0.6795], q:[0.7799, 0.4402], qb:[0.5791, 0.4402], phi:[0.4402]] | [X:[], M:[[9], [-4], [9], [-6], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1\tilde{q}_2^2$ | -2 | 2*t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + t^3.96 + 4*t^4.08 + 2*t^4.38 + 2*t^4.68 + t^4.8 + 4*t^4.98 + t^5.28 + 2*t^5.4 + 4*t^5.7 + 3*t^5.88 - 2*t^6. + 6*t^6.12 + 2*t^6.3 + 2*t^6.42 + 4*t^6.6 + 3*t^6.72 + 2*t^6.83 + 8*t^7.02 + 3*t^7.32 + 4*t^7.44 + 8*t^7.74 + 7*t^7.92 - 4*t^8.04 + 9*t^8.15 + 2*t^8.34 + 4*t^8.46 + 4*t^8.64 + 4*t^8.76 + 4*t^8.83 + 4*t^8.87 - 8*t^8.94 - t^4.32/y - (2*t^6.36)/y + t^7.08/y - (2*t^7.26)/y + (2*t^7.38)/y + (2*t^7.68)/y + (4*t^7.98)/y + (2*t^8.28)/y - t^8.4/y + (2*t^8.58)/y + (4*t^8.7)/y + t^8.88/y - t^4.32*y - 2*t^6.36*y + t^7.08*y - 2*t^7.26*y + 2*t^7.38*y + 2*t^7.68*y + 4*t^7.98*y + 2*t^8.28*y - t^8.4*y + 2*t^8.58*y + 4*t^8.7*y + t^8.88*y | (2*t^2.04)/g1^6 + g1^4*t^2.64 + 2*g1^9*t^2.94 + t^3.36/g1^4 + 2*g1*t^3.66 + g1^6*t^3.96 + (4*t^4.08)/g1^12 + (2*t^4.38)/g1^7 + (2*t^4.68)/g1^2 + t^4.8/g1^20 + 4*g1^3*t^4.98 + g1^8*t^5.28 + (2*t^5.4)/g1^10 + (4*t^5.7)/g1^5 + 3*g1^18*t^5.88 - 2*t^6. + (6*t^6.12)/g1^18 + 2*g1^5*t^6.3 + (2*t^6.42)/g1^13 + 4*g1^10*t^6.6 + (3*t^6.72)/g1^8 + (2*t^6.83)/g1^26 + (8*t^7.02)/g1^3 + 3*g1^2*t^7.32 + (4*t^7.44)/g1^16 + (8*t^7.74)/g1^11 + 7*g1^12*t^7.92 - (4*t^8.04)/g1^6 + (9*t^8.15)/g1^24 + (2*t^8.34)/g1 + (4*t^8.46)/g1^19 + 4*g1^4*t^8.64 + (4*t^8.76)/g1^14 + 4*g1^27*t^8.83 + (4*t^8.87)/g1^32 - 8*g1^9*t^8.94 - (g1^2*t^4.32)/y - (2*t^6.36)/(g1^4*y) + t^7.08/(g1^12*y) - (2*g1^11*t^7.26)/y + (2*t^7.38)/(g1^7*y) + (2*t^7.68)/(g1^2*y) + (4*g1^3*t^7.98)/y + (2*g1^8*t^8.28)/y - t^8.4/(g1^10*y) + (2*g1^13*t^8.58)/y + (4*t^8.7)/(g1^5*y) + (g1^18*t^8.88)/y - g1^2*t^4.32*y - (2*t^6.36*y)/g1^4 + (t^7.08*y)/g1^12 - 2*g1^11*t^7.26*y + (2*t^7.38*y)/g1^7 + (2*t^7.68*y)/g1^2 + 4*g1^3*t^7.98*y + 2*g1^8*t^8.28*y - (t^8.4*y)/g1^10 + 2*g1^13*t^8.58*y + (4*t^8.7*y)/g1^5 + g1^18*t^8.88*y |
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 |
---|---|---|---|---|---|---|---|---|
1090 | $\phi_1q_1^2$ + $ 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_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.7119 | 0.9046 | 0.787 | [X:[], M:[0.9822, 1.119, 0.9822, 0.6785, 0.6785, 0.6785], q:[0.7798, 0.4405], qb:[0.5773, 0.4405], phi:[0.4405]] | 3*t^2.04 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.66 + 7*t^4.07 + 2*t^4.37 + 3*t^4.68 + t^4.79 + 6*t^4.98 + t^5.29 + 3*t^5.39 + 6*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
415 | 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$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |