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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55181 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.653 | 0.8214 | 0.795 | [X:[], M:[0.898, 1.2245, 0.7755, 0.7755, 1.102, 0.7755], q:[0.6529, 0.449], qb:[0.3265, 0.7755], phi:[0.449]] | [X:[], M:[[-4], [-1], [1], [1], [4], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_6$, $ M_1$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_1^2$ | $M_1M_5$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -1 | 3*t^2.33 + t^2.69 + t^2.94 + 3*t^3.31 + t^4.04 + 2*t^4.29 + 7*t^4.65 + 2*t^5.02 + 4*t^5.26 + 9*t^5.63 + t^5.88 - t^6. + 3*t^6.24 - t^6.37 + 8*t^6.61 + 9*t^6.98 + 2*t^7.22 + t^7.35 + 13*t^7.59 - 2*t^7.71 + 15*t^7.96 + 2*t^8.08 + 4*t^8.2 - 9*t^8.33 + 12*t^8.57 - 6*t^8.69 + t^8.81 + 13*t^8.94 - t^4.35/y - (2*t^6.67)/y - t^7.04/y + (4*t^7.65)/y + (5*t^8.02)/y + (3*t^8.26)/y + (10*t^8.63)/y - t^4.35*y - 2*t^6.67*y - t^7.04*y + 4*t^7.65*y + 5*t^8.02*y + 3*t^8.26*y + 10*t^8.63*y | 3*g1*t^2.33 + t^2.69/g1^4 + g1^9*t^2.94 + 3*g1^4*t^3.31 + t^4.04/g1^6 + 2*g1^7*t^4.29 + 7*g1^2*t^4.65 + (2*t^5.02)/g1^3 + 4*g1^10*t^5.26 + 9*g1^5*t^5.63 + g1^18*t^5.88 - t^6. + 3*g1^13*t^6.24 - t^6.37/g1^5 + 8*g1^8*t^6.61 + 9*g1^3*t^6.98 + 2*g1^16*t^7.22 + t^7.35/g1^2 + 13*g1^11*t^7.59 - (2*t^7.71)/g1^7 + 15*g1^6*t^7.96 + (2*t^8.08)/g1^12 + 4*g1^19*t^8.2 - 9*g1*t^8.33 + 12*g1^14*t^8.57 - (6*t^8.69)/g1^4 + g1^27*t^8.81 + 13*g1^9*t^8.94 - t^4.35/(g1^2*y) - (2*t^6.67)/(g1*y) - t^7.04/(g1^6*y) + (4*g1^2*t^7.65)/y + (5*t^8.02)/(g1^3*y) + (3*g1^10*t^8.26)/y + (10*g1^5*t^8.63)/y - (t^4.35*y)/g1^2 - (2*t^6.67*y)/g1 - (t^7.04*y)/g1^6 + 4*g1^2*t^7.65*y + (5*t^8.02*y)/g1^3 + 3*g1^10*t^8.26*y + 10*g1^5*t^8.63*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 |
---|---|---|---|---|---|---|---|---|---|
47036 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5\phi_1^2$ | 0.6351 | 0.7891 | 0.8049 | [X:[], M:[0.8956, 1.2239, 0.7761, 0.7761, 1.1044], q:[0.6567, 0.4478], qb:[0.3283, 0.7761], phi:[0.4478]] | 2*t^2.33 + t^2.69 + t^2.96 + 3*t^3.31 + t^3.67 + t^4.03 + 2*t^4.3 + 4*t^4.66 + t^5.01 + 3*t^5.28 + 6*t^5.64 + t^5.91 + t^6. - t^4.34/y - t^4.34*y | detail |