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 |
---|---|---|---|---|---|---|---|---|---|
2722 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_4q_1\tilde{q}_1$ | 0.6148 | 0.755 | 0.8143 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [0, 0], [1, 1]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.27 + 2*t^2.4 + t^3.47 + 2*t^3.54 + t^3.6 + 2*t^3.66 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 4*t^5.94 - t^6. + 2*t^6.06 - t^6.13 + t^6.81 + 3*t^6.94 + 2*t^7.01 + 6*t^7.07 + 6*t^7.2 - 2*t^7.26 + t^7.33 + t^8.01 + 2*t^8.08 + 2*t^8.14 + 4*t^8.21 + 4*t^8.34 - 4*t^8.4 + 2*t^8.46 - 3*t^8.53 - t^4.2/y - t^6.47/y - t^6.6/y + (2*t^7.67)/y + (2*t^7.8)/y + t^7.93/y + (2*t^8.81)/y + (2*t^8.87)/y + (6*t^8.94)/y - t^4.2*y - t^6.47*y - t^6.6*y + 2*t^7.67*y + 2*t^7.8*y + t^7.93*y + 2*t^8.81*y + 2*t^8.87*y + 6*t^8.94*y | g1*g2*t^2.27 + 2*t^2.4 + g1*g2*t^3.47 + (g1*t^3.54)/g2 + g2^2*t^3.54 + t^3.6 + t^3.66/g2^2 + (g2*t^3.66)/g1 + g1^2*g2^2*t^4.54 + 2*g1*g2*t^4.67 + 4*t^4.8 + g1^2*g2^2*t^5.74 + g1^2*t^5.81 + g1*g2^3*t^5.81 + 2*g1*g2*t^5.87 + (2*g1*t^5.94)/g2 + 2*g2^2*t^5.94 - t^6. + t^6.06/g2^2 + (g2*t^6.06)/g1 - t^6.13/(g1*g2) + g1^3*g2^3*t^6.81 + 3*g1^2*g2^2*t^6.94 + g1^2*t^7.01 + g1*g2^3*t^7.01 + (g1^2*t^7.07)/g2^2 + 4*g1*g2*t^7.07 + g2^4*t^7.07 + 4*t^7.2 + (g1*t^7.2)/g2^3 + (g2^3*t^7.2)/g1 - t^7.26/g2^2 - (g2*t^7.26)/g1 + t^7.33/g2^4 - t^7.33/(g1*g2) + (g2^2*t^7.33)/g1^2 + g1^3*g2^3*t^8.01 + g1^3*g2*t^8.08 + g1^2*g2^4*t^8.08 + 2*g1^2*g2^2*t^8.14 + 2*g1^2*t^8.21 + 2*g1*g2^3*t^8.21 + (2*g1*t^8.34)/g2 + 2*g2^2*t^8.34 - 4*t^8.4 + t^8.46/g2^2 + (g2*t^8.46)/g1 - (3*t^8.53)/(g1*g2) - t^4.2/y - (g1*g2*t^6.47)/y - t^6.6/y + (2*g1*g2*t^7.67)/y + (2*t^7.8)/y + t^7.93/(g1*g2*y) + (g1^2*t^8.81)/y + (g1*g2^3*t^8.81)/y + (2*g1*g2*t^8.87)/y + (3*g1*t^8.94)/(g2*y) + (3*g2^2*t^8.94)/y - t^4.2*y - g1*g2*t^6.47*y - t^6.6*y + 2*g1*g2*t^7.67*y + 2*t^7.8*y + (t^7.93*y)/(g1*g2) + g1^2*t^8.81*y + g1*g2^3*t^8.81*y + 2*g1*g2*t^8.87*y + (3*g1*t^8.94*y)/g2 + 3*g2^2*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
3236 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_4q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6146 | 0.7542 | 0.8148 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7651], q:[0.8349, 0.7651], qb:[0.4, 0.4], phi:[0.4]] | t^2.3 + 2*t^2.4 + 2*t^3.5 + 3*t^3.6 + t^3.7 + t^4.59 + 2*t^4.7 + 4*t^4.8 + 2*t^5.79 + 5*t^5.9 + 2*t^6. - t^4.2/y - t^4.2*y | detail | |
3239 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6313 | 0.784 | 0.8052 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7567, 0.8], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | t^2.27 + 3*t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.66 + t^4.54 + 3*t^4.67 + 7*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 6*t^5.94 - 3*t^6. - t^4.2/y - t^4.2*y | detail | |
3237 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6334 | 0.7905 | 0.8013 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7434, 0.7434], q:[0.8566, 0.7434], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.23 + 2*t^2.4 + 2*t^3.43 + 3*t^3.6 + 3*t^4.46 + 4*t^4.63 + 4*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*y | detail | |
3238 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_1$ | 0.6315 | 0.7847 | 0.8048 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7748, 0.7748], q:[0.8, 0.8], qb:[0.4252, 0.3748], phi:[0.4]] | 2*t^2.32 + 2*t^2.4 + t^3.45 + 2*t^3.52 + t^3.6 + t^3.75 + 3*t^4.65 + 4*t^4.72 + 4*t^4.8 + 2*t^5.77 + 5*t^5.85 + 4*t^5.92 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
1719 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.597 | 0.722 | 0.8269 | [X:[1.6], M:[0.4, 1.2, 0.8], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.4 + 7*t^3.6 + 4*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 597/1000, c: 361/500, X1: 8/5, M1: 2/5, M2: 6/5, M3: 4/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |