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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1956 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1q_2$ | 0.6792 | 0.8856 | 0.7669 | [X:[], M:[1.1517, 1.1517, 0.6966, 0.6966, 0.6966, 0.8034], q:[0.75, 0.4466], qb:[0.4017, 0.4017], phi:[0.5]] | [X:[], M:[[1], [1], [-2], [-2], [-2], [2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ M_4$, $ M_5$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_3$, $ M_1M_4$, $ M_2M_4$, $ M_1M_5$, $ M_2M_5$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1M_6$, $ M_2M_6$, $ M_6q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -5 | 3*t^2.09 + 2*t^2.41 + t^3. + 4*t^3.46 + 2*t^4.04 + 7*t^4.18 + 6*t^4.5 + 3*t^4.82 + 3*t^5.09 + 2*t^5.41 + 12*t^5.54 + 6*t^5.87 - 5*t^6. + 4*t^6.13 + 13*t^6.27 + 4*t^6.46 + 12*t^6.59 + 15*t^6.91 - 2*t^7.04 + 6*t^7.18 + 4*t^7.23 - 4*t^7.37 + 6*t^7.5 + 24*t^7.63 + 2*t^7.82 + 14*t^7.96 - 16*t^8.09 + 8*t^8.22 + 8*t^8.28 + 22*t^8.36 - 10*t^8.41 + 8*t^8.54 + 20*t^8.68 + 4*t^8.87 - t^4.5/y - (3*t^6.59)/y - t^6.91/y + (2*t^7.04)/y + (3*t^7.18)/y + (6*t^7.5)/y + t^7.82/y - (2*t^7.96)/y + (4*t^8.09)/y + (5*t^8.41)/y + (12*t^8.54)/y - (6*t^8.68)/y + (8*t^8.87)/y - t^4.5*y - 3*t^6.59*y - t^6.91*y + 2*t^7.04*y + 3*t^7.18*y + 6*t^7.5*y + t^7.82*y - 2*t^7.96*y + 4*t^8.09*y + 5*t^8.41*y + 12*t^8.54*y - 6*t^8.68*y + 8*t^8.87*y | (3*t^2.09)/g1^2 + 2*g1^2*t^2.41 + t^3. + 4*g1*t^3.46 + (2*t^4.04)/g1 + (7*t^4.18)/g1^4 + 6*t^4.5 + 3*g1^4*t^4.82 + (3*t^5.09)/g1^2 + 2*g1^2*t^5.41 + (12*t^5.54)/g1 + 6*g1^3*t^5.87 - 5*t^6. + (4*t^6.13)/g1^3 + (13*t^6.27)/g1^6 + 4*g1*t^6.46 + (12*t^6.59)/g1^2 + 15*g1^2*t^6.91 - (2*t^7.04)/g1 + (6*t^7.18)/g1^4 + 4*g1^6*t^7.23 - 4*g1^3*t^7.37 + 6*t^7.5 + (24*t^7.63)/g1^3 + 2*g1^4*t^7.82 + 14*g1*t^7.96 - (16*t^8.09)/g1^2 + (8*t^8.22)/g1^5 + 8*g1^5*t^8.28 + (22*t^8.36)/g1^8 - 10*g1^2*t^8.41 + (8*t^8.54)/g1 + (20*t^8.68)/g1^4 + 4*g1^3*t^8.87 - t^4.5/y - (3*t^6.59)/(g1^2*y) - (g1^2*t^6.91)/y + (2*t^7.04)/(g1*y) + (3*t^7.18)/(g1^4*y) + (6*t^7.5)/y + (g1^4*t^7.82)/y - (2*g1*t^7.96)/y + (4*t^8.09)/(g1^2*y) + (5*g1^2*t^8.41)/y + (12*t^8.54)/(g1*y) - (6*t^8.68)/(g1^4*y) + (8*g1^3*t^8.87)/y - t^4.5*y - (3*t^6.59*y)/g1^2 - g1^2*t^6.91*y + (2*t^7.04*y)/g1 + (3*t^7.18*y)/g1^4 + 6*t^7.5*y + g1^4*t^7.82*y - 2*g1*t^7.96*y + (4*t^8.09*y)/g1^2 + 5*g1^2*t^8.41*y + (12*t^8.54*y)/g1 - (6*t^8.68*y)/g1^4 + 8*g1^3*t^8.87*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
633 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]] | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*t^6. - t^4.5/y - t^4.5*y | detail |