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 |
---|---|---|---|---|---|---|---|---|---|
46233 | 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_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | [X:[], M:[[1, 5], [-1, 3], [-1, -1], [1, 1]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_4\phi_1^2$ | $M_3^2$, $ M_4^2$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. + 2*t^6.42 + t^6.62 + 4*t^6.73 + 8*t^7.04 + 4*t^7.15 + 7*t^7.35 + 3*t^7.46 + 6*t^7.65 + 6*t^7.77 + 3*t^7.96 + 4*t^8.08 - 2*t^8.38 - 2*t^8.69 + 3*t^8.81 - t^4.35/y - (2*t^6.73)/y - t^7.04/y + t^7.65/y + t^7.77/y + (2*t^7.96)/y + (2*t^8.08)/y + (4*t^8.38)/y + (6*t^8.69)/y - t^4.35*y - 2*t^6.73*y - t^7.04*y + t^7.65*y + t^7.77*y + 2*t^7.96*y + 2*t^8.08*y + 4*t^8.38*y + 6*t^8.69*y | (g2^3*t^2.38)/g1 + g1*g2^5*t^2.38 + g2^2*t^2.69 + t^3./(g1*g2) + g1*g2*t^3. + (2*t^3.31)/g2^2 + g2^3*t^4.04 + t^4.35/g1 + g1*g2^2*t^4.35 + t^4.65/(g1^2*g2^3) + (2*t^4.65)/g2 + g1^2*g2*t^4.65 + (g2^6*t^4.77)/g1^2 + g2^8*t^4.77 + g1^2*g2^10*t^4.77 + t^4.96/(g1*g2^4) + (g1*t^4.96)/g2^2 + (g2^5*t^5.08)/g1 + g1*g2^7*t^5.08 + t^5.27/g2^5 + (g2^2*t^5.38)/g1^2 + 2*g2^4*t^5.38 + g1^2*g2^6*t^5.38 + (g2*t^5.69)/g1 + g1*g2^3*t^5.69 - t^6. + (g2^6*t^6.42)/g1 + g1*g2^8*t^6.42 + t^6.62/g2^4 + (g2^3*t^6.73)/g1^2 + 2*g2^5*t^6.73 + g1^2*g2^7*t^6.73 + t^7.04/g1^3 + (3*g2^2*t^7.04)/g1 + 3*g1*g2^4*t^7.04 + g1^3*g2^6*t^7.04 + (g2^9*t^7.15)/g1^3 + (g2^11*t^7.15)/g1 + g1*g2^13*t^7.15 + g1^3*g2^15*t^7.15 + (2*t^7.35)/(g1^2*g2) + 3*g2*t^7.35 + 2*g1^2*g2^3*t^7.35 + (g2^8*t^7.46)/g1^2 + g2^10*t^7.46 + g1^2*g2^12*t^7.46 + 2*g1*t^7.65 + t^7.65/(g1^3*g2^4) + (2*t^7.65)/(g1*g2^2) + g1^3*g2^2*t^7.65 + (g2^5*t^7.77)/g1^3 + (2*g2^7*t^7.77)/g1 + 2*g1*g2^9*t^7.77 + g1^3*g2^11*t^7.77 + t^7.96/(g1^2*g2^5) + t^7.96/g2^3 + (g1^2*t^7.96)/g2 + (g2^4*t^8.08)/g1^2 + 2*g2^6*t^8.08 + g1^2*g2^8*t^8.08 - (g2^3*t^8.38)/g1 - g1*g2^5*t^8.38 - 2*g2^2*t^8.69 + (g2^9*t^8.81)/g1^2 + g2^11*t^8.81 + g1^2*g2^13*t^8.81 - (g2*t^4.35)/y - (g2^4*t^6.73)/(g1*y) - (g1*g2^6*t^6.73)/y - (g2^3*t^7.04)/y + t^7.65/(g2*y) + (g2^8*t^7.77)/y + t^7.96/(g1*g2^4*y) + (g1*t^7.96)/(g2^2*y) + (g2^5*t^8.08)/(g1*y) + (g1*g2^7*t^8.08)/y + (g2^2*t^8.38)/(g1^2*y) + (2*g2^4*t^8.38)/y + (g1^2*g2^6*t^8.38)/y + (3*g2*t^8.69)/(g1*y) + (3*g1*g2^3*t^8.69)/y - g2*t^4.35*y - (g2^4*t^6.73*y)/g1 - g1*g2^6*t^6.73*y - g2^3*t^7.04*y + (t^7.65*y)/g2 + g2^8*t^7.77*y + (t^7.96*y)/(g1*g2^4) + (g1*t^7.96*y)/g2^2 + (g2^5*t^8.08*y)/g1 + g1*g2^7*t^8.08*y + (g2^2*t^8.38*y)/g1^2 + 2*g2^4*t^8.38*y + g1^2*g2^6*t^8.38*y + (3*g2*t^8.69*y)/g1 + 3*g1*g2^3*t^8.69*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 |
---|---|---|---|---|---|---|---|---|
46490 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1\phi_1^2$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[1.018, 0.9098, 0.9459, 1.0541], q:[0.5271, 0.4549], qb:[0.5631, 0.491], phi:[0.491]] | t^2.73 + t^2.84 + t^2.95 + 3*t^3.05 + t^3.16 + t^4.2 + t^4.31 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.74 + t^4.85 + t^5.46 + t^5.57 + t^5.68 + 2*t^5.78 + 2*t^5.89 - t^4.47/y - t^4.47*y | detail | |
46674 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 - t^4.45/y - t^4.45*y | detail | |
46561 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.82, 0.7699, 0.9749, 1.0251, 0.9749], q:[0.6538, 0.5262], qb:[0.5763, 0.4487], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
46520 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[0.8187, 0.8187, 1.0, 1.0, 1.0906], q:[0.6359, 0.5453], qb:[0.5453, 0.4547], phi:[0.4547]] | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
46521 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^3.99 + 2*t^4.33 + 3*t^4.63 + 4*t^4.67 + 4*t^4.98 + 2*t^5.01 + 6*t^5.32 + t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail | |
46697 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_1X_1$ | 0.6208 | 0.7591 | 0.8178 | [X:[1.509], M:[0.491, 0.917, 1.213, 0.787], q:[0.722, 0.787], qb:[0.361, 0.426], phi:[0.426]] | t^2.36 + t^2.56 + t^2.75 + 3*t^3.44 + 2*t^3.64 + t^3.83 + 2*t^4.53 + 2*t^4.72 + t^5.11 + t^5.31 + t^5.5 + t^5.61 + 2*t^5.81 + t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
46011 | 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_3M_4$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[0.7935, 0.7935, 1.0, 1.0], q:[0.6608, 0.5457], qb:[0.5457, 0.4543], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |