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 |
---|---|---|---|---|---|---|---|---|---|
900 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ | 0.7013 | 0.8625 | 0.8131 | [X:[], M:[0.9319, 1.0227, 1.0681, 0.8864, 0.9319, 1.0227], q:[0.4865, 0.5816], qb:[0.4453, 0.532], phi:[0.4886]] | [X:[], M:[[6, 6], [-2, -2], [-6, -6], [10, 10], [6, 6], [-2, -2]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_2M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$ | . | -4 | t^2.66 + 2*t^2.8 + t^3.06 + 2*t^3.07 + t^3.08 + t^4.14 + t^4.26 + t^4.39 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.32 + 2*t^5.45 + 2*t^5.59 + 2*t^5.73 + t^5.85 + 3*t^5.86 + t^5.88 - 4*t^6. + t^6.11 + t^6.12 + 2*t^6.14 + t^6.15 + t^6.16 - t^6.26 - t^6.29 - t^6.41 + t^6.8 + t^6.92 + 2*t^6.93 + t^7.04 + 2*t^7.06 + 2*t^7.18 + 2*t^7.19 + t^7.21 + t^7.22 + 2*t^7.32 + t^7.33 + t^7.34 + t^7.44 + 3*t^7.45 + t^7.47 + t^7.58 + t^7.61 + t^7.63 + t^7.71 + t^7.74 + t^7.75 + t^7.98 + t^8.02 + t^8.04 + 2*t^8.11 + 2*t^8.25 + t^8.28 + 4*t^8.39 + t^8.4 + 4*t^8.52 + 2*t^8.65 + t^8.68 + t^8.77 - 5*t^8.8 + t^8.81 + 2*t^8.91 + 2*t^8.93 + t^8.94 + t^8.96 - t^4.47/y - t^7.13/y - t^7.26/y + t^7.4/y - t^7.53/y + t^7.67/y + t^7.81/y + (2*t^8.45)/y + t^8.59/y + t^8.71/y + (2*t^8.73)/y + t^8.74/y + (2*t^8.85)/y + (4*t^8.86)/y + (2*t^8.88)/y - t^4.47*y - t^7.13*y - t^7.26*y + t^7.4*y - t^7.53*y + t^7.67*y + t^7.81*y + 2*t^8.45*y + t^8.59*y + t^8.71*y + 2*t^8.73*y + t^8.74*y + 2*t^8.85*y + 4*t^8.86*y + 2*t^8.88*y | g1^10*g2^10*t^2.66 + 2*g1^6*g2^6*t^2.8 + g1^4*g2^8*t^3.06 + (2*t^3.07)/(g1^2*g2^2) + t^3.08/(g1^8*g2^12) + g1^5*g2*t^4.14 + g1^7*g2^7*t^4.26 + g1^9*g2^13*t^4.39 + g1^3*g2^3*t^4.4 + g1^5*g2^9*t^4.52 + t^4.55/(g1^7*g2^11) + g1*g2^5*t^4.66 + t^4.67/(g1^5*g2^5) + t^4.81/(g1^9*g2^9) + t^4.96/(g1^19*g2^23) + g1^20*g2^20*t^5.32 + 2*g1^16*g2^16*t^5.45 + 2*g1^12*g2^12*t^5.59 + 2*g1^8*g2^8*t^5.73 + g1^10*g2^14*t^5.85 + 3*g1^4*g2^4*t^5.86 + t^5.88/(g1^2*g2^6) - 4*t^6. + g1^8*g2^16*t^6.11 + g1^2*g2^6*t^6.12 + (2*t^6.14)/(g1^4*g2^4) + t^6.15/(g1^10*g2^14) + t^6.16/(g1^16*g2^24) - (g2^2*t^6.26)/g1^2 - t^6.29/(g1^14*g2^18) - t^6.41/(g1^12*g2^12) + g1^15*g2^11*t^6.8 + g1^17*g2^17*t^6.92 + 2*g1^11*g2^7*t^6.93 + g1^19*g2^23*t^7.04 + 2*g1^13*g2^13*t^7.06 + 2*g1^15*g2^19*t^7.18 + 2*g1^9*g2^9*t^7.19 + (g1^3*t^7.21)/g2 + t^7.22/(g1^3*g2^11) + 2*g1^11*g2^15*t^7.32 + g1^5*g2^5*t^7.33 + t^7.34/(g1*g2^5) + g1^13*g2^21*t^7.44 + 3*g1^7*g2^11*t^7.45 + g1*g2*t^7.47 + g1^9*g2^17*t^7.58 + t^7.61/(g1^9*g2^13) + t^7.63/(g1^15*g2^23) + g1^5*g2^13*t^7.71 + t^7.74/(g1^7*g2^7) + t^7.75/(g1^13*g2^17) + g1^30*g2^30*t^7.98 + t^8.02/(g1^21*g2^25) + t^8.04/(g1^27*g2^35) + 2*g1^26*g2^26*t^8.11 + 2*g1^22*g2^22*t^8.25 + g1^10*g2^2*t^8.28 + 4*g1^18*g2^18*t^8.39 + g1^12*g2^8*t^8.4 + 4*g1^14*g2^14*t^8.52 + 2*g1^16*g2^20*t^8.65 + t^8.68/(g1^2*g2^10) + g1^18*g2^26*t^8.77 - 5*g1^6*g2^6*t^8.8 + t^8.81/g2^4 + 2*g1^14*g2^22*t^8.91 + 2*g1^2*g2^2*t^8.93 + t^8.94/(g1^4*g2^8) + t^8.96/(g1^10*g2^18) - (g1*g2*t^4.47)/y - (g1^11*g2^11*t^7.13)/y - (g1^7*g2^7*t^7.26)/y + (g1^3*g2^3*t^7.4)/y - t^7.53/(g1*g2*y) + t^7.67/(g1^5*g2^5*y) + t^7.81/(g1^9*g2^9*y) + (2*g1^16*g2^16*t^8.45)/y + (g1^12*g2^12*t^8.59)/y + (g1^14*g2^18*t^8.71)/y + (2*g1^8*g2^8*t^8.73)/y + (g1^2*t^8.74)/(g2^2*y) + (2*g1^10*g2^14*t^8.85)/y + (4*g1^4*g2^4*t^8.86)/y + (2*t^8.88)/(g1^2*g2^6*y) - g1*g2*t^4.47*y - g1^11*g2^11*t^7.13*y - g1^7*g2^7*t^7.26*y + g1^3*g2^3*t^7.4*y - (t^7.53*y)/(g1*g2) + (t^7.67*y)/(g1^5*g2^5) + (t^7.81*y)/(g1^9*g2^9) + 2*g1^16*g2^16*t^8.45*y + g1^12*g2^12*t^8.59*y + g1^14*g2^18*t^8.71*y + 2*g1^8*g2^8*t^8.73*y + (g1^2*t^8.74*y)/g2^2 + 2*g1^10*g2^14*t^8.85*y + 4*g1^4*g2^4*t^8.86*y + (2*t^8.88*y)/(g1^2*g2^6) |
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 |
---|---|---|---|---|---|---|---|---|
2063 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ | 0.6694 | 0.8378 | 0.799 | [X:[], M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]] | t^2.17 + 2*t^2.5 + t^2.75 + 2*t^3.17 + t^3.58 + t^3.83 + t^3.92 + t^4. + t^4.17 + t^4.25 + t^4.33 + t^4.5 + 2*t^4.66 + t^4.92 + 3*t^5. + 2*t^5.25 + 2*t^5.33 + t^5.5 + 3*t^5.67 + t^5.92 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
2062 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.5606 | 0.728 | 0.77 | [X:[], M:[0.8468, 1.0511, 1.1532, 0.7447, 0.8468, 1.0511], q:[0.6607, 0.4925], qb:[0.1862, 0.7628], phi:[0.4745]] | t^2.04 + t^2.23 + 3*t^2.54 + 2*t^3.15 + t^3.46 + t^3.96 + t^4.07 + 2*t^4.27 + t^4.38 + t^4.47 + 2*t^4.58 + 3*t^4.77 + t^4.88 + 5*t^5.08 + 2*t^5.19 + 3*t^5.39 + 5*t^5.69 - t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
580 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. - t^4.46/y - t^4.46*y | detail |