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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53014 | 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_1q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6676 | 0.8409 | 0.7939 | [X:[], M:[0.7732, 1.1598, 0.8402, 0.8402, 0.7732, 0.7732], q:[0.8402, 0.3866], qb:[0.4536, 0.7732], phi:[0.3866]] | [X:[], M:[[2], [3], [-3], [-3], [2], [2]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$ | -3 | 4*t^2.32 + 2*t^2.52 + t^3.48 + 2*t^3.88 + 10*t^4.64 + 9*t^4.84 + 3*t^5.04 + 2*t^5.8 - 3*t^6. + 6*t^6.2 + 4*t^6.4 + 19*t^6.96 + 18*t^7.16 + 9*t^7.36 + 2*t^7.56 + 3*t^7.76 + 2*t^8.12 - 16*t^8.32 + t^8.52 + 12*t^8.72 + 6*t^8.92 - t^4.16/y - (4*t^6.48)/y - t^6.68/y + (7*t^7.64)/y + (12*t^7.84)/y + t^8.04/y - (6*t^8.8)/y - t^4.16*y - 4*t^6.48*y - t^6.68*y + 7*t^7.64*y + 12*t^7.84*y + t^8.04*y - 6*t^8.8*y | 4*g1^2*t^2.32 + (2*t^2.52)/g1^3 + g1^3*t^3.48 + (2*t^3.88)/g1^7 + 10*g1^4*t^4.64 + (9*t^4.84)/g1 + (3*t^5.04)/g1^6 + 2*g1^5*t^5.8 - 3*t^6. + (6*t^6.2)/g1^5 + (4*t^6.4)/g1^10 + 19*g1^6*t^6.96 + 18*g1*t^7.16 + (9*t^7.36)/g1^4 + (2*t^7.56)/g1^9 + (3*t^7.76)/g1^14 + 2*g1^7*t^8.12 - 16*g1^2*t^8.32 + t^8.52/g1^3 + (12*t^8.72)/g1^8 + (6*t^8.92)/g1^13 - (g1*t^4.16)/y - (4*g1^3*t^6.48)/y - t^6.68/(g1^2*y) + (7*g1^4*t^7.64)/y + (12*t^7.84)/(g1*y) + t^8.04/(g1^6*y) - (6*g1^5*t^8.8)/y - g1*t^4.16*y - 4*g1^3*t^6.48*y - (t^6.68*y)/g1^2 + 7*g1^4*t^7.64*y + (12*t^7.84*y)/g1 + (t^8.04*y)/g1^6 - 6*g1^5*t^8.8*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 |
---|---|---|---|---|---|---|---|---|---|
46910 | 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_1q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6497 | 0.8094 | 0.8027 | [X:[], M:[0.7774, 1.166, 0.834, 0.834, 0.7774], q:[0.834, 0.3887], qb:[0.4453, 0.7774], phi:[0.3887]] | 3*t^2.33 + 2*t^2.5 + t^3.5 + t^3.67 + 2*t^3.84 + 6*t^4.66 + 7*t^4.83 + 3*t^5. + t^5.83 - t^4.17/y - t^4.17*y | detail |