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 |
---|---|---|---|---|---|---|---|---|---|
46115 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_1M_4$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[1.0, 0.8179, 0.8179, 1.0, 1.091], q:[0.541, 0.459], qb:[0.6411, 0.541], phi:[0.4545]] | [X:[], M:[[4, 0, 1], [8, -4, 1], [0, -4, -1], [-4, 0, -1], [-2, 2, 0]], q:[[-8, 0, -1], [4, 0, 0]], qb:[[0, 4, 0], [0, 0, 1]], phi:[[1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ M_4$, $ M_1$, $ q_1\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ M_1M_2$, $ M_3M_5$, $ M_2M_5$ | $M_1^2$, $ M_4^2$ | -3 | 2*t^2.45 + 2*t^3. + t^3.25 + t^3.27 + t^3.3 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 5*t^4.91 + t^5.21 + 3*t^5.45 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + t^6.49 + t^6.52 + 3*t^6.57 + t^6.6 + 3*t^6.82 + 4*t^7.06 + 2*t^7.12 + 7*t^7.36 + t^7.42 + 4*t^7.61 + 2*t^7.66 + 3*t^7.85 + 6*t^7.91 + t^7.96 + 3*t^8.18 + t^8.21 + t^8.24 - 6*t^8.45 + 2*t^8.48 + t^8.51 - 3*t^8.7 + 6*t^8.73 - 2*t^8.75 + t^8.78 + 4*t^8.97 - t^4.36/y - (2*t^6.82)/y + (3*t^7.91)/y + (4*t^8.45)/y + (2*t^8.7)/y + (2*t^8.73)/y + (2*t^8.75)/y - t^4.36*y - 2*t^6.82*y + 3*t^7.91*y + 4*t^8.45*y + 2*t^8.7*y + 2*t^8.73*y + 2*t^8.75*y | t^2.45/(g2^4*g3) + (g1^8*g3*t^2.45)/g2^4 + t^3./(g1^4*g3) + g1^4*g3*t^3. + t^3.25/g1^8 + (g2^2*t^3.27)/g1^2 + g1^4*g2^4*t^3.3 + (g1^9*t^4.12)/g2 + t^4.36/(g1^3*g2*g3) + (g1^5*g3*t^4.36)/g2 + t^4.61/(g1^7*g2) + t^4.61/(g1^15*g2*g3^2) + (g1*g3^2*t^4.61)/g2 + g1^5*g2^3*t^4.66 + (g1^8*t^4.91)/g2^8 + t^4.91/(g2^8*g3^2) + (g2^3*t^4.91)/(g1^7*g3) + g1*g2^3*g3*t^4.91 + (g1^16*g3^2*t^4.91)/g2^8 + g1*g2^7*t^5.21 + (g1^4*t^5.45)/g2^4 + t^5.45/(g1^4*g2^4*g3^2) + (g1^12*g3^2*t^5.45)/g2^4 + t^5.73/(g1^2*g2^2*g3) + (g1^6*g3*t^5.73)/g2^2 - 3*t^6. + (g2^2*t^6.27)/(g1^6*g3) + g1^2*g2^2*g3*t^6.27 + t^6.49/g1^16 + (g2^2*t^6.52)/g1^10 + g1^2*g2^6*t^6.57 + (g1^9*t^6.57)/(g2^5*g3) + (g1^17*g3*t^6.57)/g2^5 + g1^8*g2^8*t^6.6 + (g1^5*t^6.82)/g2^5 + t^6.82/(g1^3*g2^5*g3^2) + (g1^13*g3^2*t^6.82)/g2^5 + t^7.06/(g1^15*g2^5*g3^3) + t^7.06/(g1^7*g2^5*g3) + (g1*g3*t^7.06)/g2^5 + (g1^9*g3^3*t^7.06)/g2^5 + (g1^5*t^7.12)/(g2*g3) + (g1^13*g3*t^7.12)/g2 + (g1*t^7.36)/g2 + t^7.36/(g2^12*g3^3) + t^7.36/(g1^7*g2*g3^2) + (g1^8*t^7.36)/(g2^12*g3) + (g1^16*g3*t^7.36)/g2^12 + (g1^9*g3^2*t^7.36)/g2 + (g1^24*g3^3*t^7.36)/g2^12 + g1^13*g2^3*t^7.42 + t^7.61/(g1^19*g2*g3^3) + t^7.61/(g1^11*g2*g3) + (g3*t^7.61)/(g1^3*g2) + (g1^5*g3^3*t^7.61)/g2 + (g1*g2^3*t^7.66)/g3 + g1^9*g2^3*g3*t^7.66 + t^7.85/(g1^15*g2) + t^7.85/(g1^23*g2*g3^2) + (g3^2*t^7.85)/(g1^7*g2) + t^7.91/(g1^4*g2^8*g3^3) + (g2^3*t^7.91)/(g1^11*g3^2) + (g1^4*t^7.91)/(g2^8*g3) + (g1^12*g3*t^7.91)/g2^8 + g1^5*g2^3*g3^2*t^7.91 + (g1^20*g3^3*t^7.91)/g2^8 + g1^9*g2^7*t^7.96 + (g1^6*t^8.18)/g2^6 + t^8.18/(g1^2*g2^6*g3^2) + (g1^14*g3^2*t^8.18)/g2^6 - (g1^12*t^8.21)/g2^4 + (g2^7*t^8.21)/(g1^3*g3) + g1^5*g2^7*g3*t^8.21 + (g1^18*t^8.24)/g2^2 - (3*t^8.45)/(g2^4*g3) - (3*g1^8*g3*t^8.45)/g2^4 + (g1^6*t^8.48)/(g2^2*g3) + (g1^14*g3*t^8.48)/g2^2 + g1^5*g2^11*t^8.51 - t^8.7/(g1^4*g2^4) - t^8.7/(g1^12*g2^4*g3^2) - (g1^4*g3^2*t^8.7)/g2^4 + (2*g1^2*t^8.73)/g2^2 + (2*t^8.73)/(g1^6*g2^2*g3^2) + (2*g1^10*g3^2*t^8.73)/g2^2 - 2*g1^8*t^8.75 + g1^14*g2^2*t^8.78 + t^8.97/(g1^18*g2^2*g3^3) + t^8.97/(g1^10*g2^2*g3) + (g3*t^8.97)/(g1^2*g2^2) + (g1^6*g3^3*t^8.97)/g2^2 - (g1*t^4.36)/(g2*y) - (g1*t^6.82)/(g2^5*g3*y) - (g1^9*g3*t^6.82)/(g2^5*y) + (g1^8*t^7.91)/(g2^8*y) + (g2^3*t^7.91)/(g1^7*g3*y) + (g1*g2^3*g3*t^7.91)/y + (2*g1^4*t^8.45)/(g2^4*y) + t^8.45/(g1^4*g2^4*g3^2*y) + (g1^12*g3^2*t^8.45)/(g2^4*y) + t^8.7/(g1^8*g2^4*g3*y) + (g3*t^8.7)/(g2^4*y) + t^8.73/(g1^2*g2^2*g3*y) + (g1^6*g3*t^8.73)/(g2^2*y) + (g1^4*t^8.75)/(g3*y) + (g1^12*g3*t^8.75)/y - (g1*t^4.36*y)/g2 - (g1*t^6.82*y)/(g2^5*g3) - (g1^9*g3*t^6.82*y)/g2^5 + (g1^8*t^7.91*y)/g2^8 + (g2^3*t^7.91*y)/(g1^7*g3) + g1*g2^3*g3*t^7.91*y + (2*g1^4*t^8.45*y)/g2^4 + (t^8.45*y)/(g1^4*g2^4*g3^2) + (g1^12*g3^2*t^8.45*y)/g2^4 + (t^8.7*y)/(g1^8*g2^4*g3) + (g3*t^8.7*y)/g2^4 + (t^8.73*y)/(g1^2*g2^2*g3) + (g1^6*g3*t^8.73*y)/g2^2 + (g1^4*t^8.75*y)/g3 + g1^12*g3*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
46769 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_1M_4$ + $ M_4M_6$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.9749, 0.7932, 0.8434, 1.0251, 1.0909, 0.9749], q:[0.5664, 0.4588], qb:[0.6405, 0.5161], phi:[0.4546]] | t^2.38 + t^2.53 + 2*t^2.92 + t^3.25 + t^3.27 + t^3.3 + t^4.12 + t^4.29 + t^4.44 + t^4.46 + t^4.61 + t^4.66 + 2*t^4.76 + t^4.83 + t^4.91 + t^4.98 + t^5.06 + t^5.21 + 2*t^5.3 + t^5.45 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
46023 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 0.7904, 0.7904, 0.7904, 1.2096], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail |