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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3686 | 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6389 | 0.7907 | 0.808 | [X:[1.6197, 1.3382], M:[0.8592, 0.6618, 1.1408, 0.3803, 0.7605, 0.7111], q:[0.4049, 0.7358], qb:[0.4543, 0.8839], phi:[0.3803]] | [X:[[4], [28]], M:[[12], [-28], [-12], [-4], [-8], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ X_2$, $ M_6^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ \phi_1q_2^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_6\phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -1 | t^2.13 + 2*t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.87 + t^4.01 + t^4.27 + 2*t^4.41 + 3*t^4.56 + t^4.71 + 3*t^4.86 + t^5.16 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. + 3*t^6.15 + t^6.3 + t^6.4 + t^6.44 + 2*t^6.55 + t^6.59 + 3*t^6.7 + 5*t^6.84 + 3*t^6.99 + 5*t^7.14 - 2*t^7.29 + 2*t^7.44 + t^7.69 + t^7.73 + 3*t^7.84 + t^7.88 + 3*t^7.99 + t^8.03 + t^8.13 - t^8.28 + 2*t^8.43 + t^8.53 - 2*t^8.58 + 2*t^8.68 + 2*t^8.73 + 3*t^8.83 + t^8.87 + 5*t^8.98 - t^4.14/y - t^6.27/y - (2*t^6.42)/y + (2*t^7.41)/y + t^7.56/y + t^7.71/y + (4*t^7.86)/y + t^8.01/y - t^8.41/y - t^8.56/y + t^8.7/y + (4*t^8.85)/y - t^4.14*y - t^6.27*y - 2*t^6.42*y + 2*t^7.41*y + t^7.56*y + t^7.71*y + 4*t^7.86*y + t^8.01*y - t^8.41*y - t^8.56*y + t^8.7*y + 4*t^8.85*y | t^2.13/g1^18 + (2*t^2.28)/g1^8 + g1^12*t^2.58 + t^3.42/g1^12 + (2*t^3.57)/g1^2 + g1^18*t^3.87 + g1^28*t^4.01 + t^4.27/g1^36 + (2*t^4.41)/g1^26 + (3*t^4.56)/g1^16 + t^4.71/g1^6 + 3*g1^4*t^4.86 + g1^24*t^5.16 + t^5.56/g1^30 + (3*t^5.7)/g1^20 + (2*t^5.85)/g1^10 - t^6. + 3*g1^10*t^6.15 + g1^20*t^6.3 + t^6.4/g1^54 + g1^30*t^6.44 + (2*t^6.55)/g1^44 + g1^40*t^6.59 + (3*t^6.7)/g1^34 + (5*t^6.84)/g1^24 + (3*t^6.99)/g1^14 + (5*t^7.14)/g1^4 - 2*g1^6*t^7.29 + 2*g1^16*t^7.44 + t^7.69/g1^48 + g1^36*t^7.73 + (3*t^7.84)/g1^38 + g1^46*t^7.88 + (3*t^7.99)/g1^28 + g1^56*t^8.03 + t^8.13/g1^18 - t^8.28/g1^8 + 2*g1^2*t^8.43 + t^8.53/g1^72 - 2*g1^12*t^8.58 + (2*t^8.68)/g1^62 + 2*g1^22*t^8.73 + (3*t^8.83)/g1^52 + g1^32*t^8.87 + (5*t^8.98)/g1^42 - t^4.14/(g1^4*y) - t^6.27/(g1^22*y) - (2*t^6.42)/(g1^12*y) + (2*t^7.41)/(g1^26*y) + t^7.56/(g1^16*y) + t^7.71/(g1^6*y) + (4*g1^4*t^7.86)/y + (g1^14*t^8.01)/y - t^8.41/(g1^40*y) - t^8.56/(g1^30*y) + t^8.7/(g1^20*y) + (4*t^8.85)/(g1^10*y) - (t^4.14*y)/g1^4 - (t^6.27*y)/g1^22 - (2*t^6.42*y)/g1^12 + (2*t^7.41*y)/g1^26 + (t^7.56*y)/g1^16 + (t^7.71*y)/g1^6 + 4*g1^4*t^7.86*y + g1^14*t^8.01*y - (t^8.41*y)/g1^40 - (t^8.56*y)/g1^30 + (t^8.7*y)/g1^20 + (4*t^8.85*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
3957 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6518 | 0.8129 | 0.8018 | [X:[1.6149, 1.3042], M:[0.8446, 0.6958, 1.1554, 0.3851, 0.7702, 0.733, 0.8446], q:[0.4037, 0.7516], qb:[0.4409, 0.8633], phi:[0.3851]] | t^2.2 + 2*t^2.31 + 2*t^2.53 + 2*t^3.58 + t^3.8 + t^3.91 + t^4.4 + 2*t^4.51 + 3*t^4.62 + 2*t^4.73 + 5*t^4.84 + 3*t^5.07 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
3954 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6M_7$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168, 1.3176], M:[0.8504, 0.6824, 1.1496, 0.3832, 0.7664, 0.7244, 1.2756], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | 2*t^2.3 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.83 + t^3.95 + 3*t^4.6 + 3*t^4.85 + t^5.1 + t^5.75 + 2*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
3959 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6593 | 0.8299 | 0.7944 | [X:[1.6217, 1.3516], M:[0.865, 0.6484, 1.135, 0.3783, 0.7567, 0.7026, 0.7026], q:[0.4054, 0.7296], qb:[0.4595, 0.892], phi:[0.3783]] | 2*t^2.11 + 2*t^2.27 + t^2.59 + t^3.41 + 2*t^3.57 + t^4.05 + 3*t^4.22 + 4*t^4.38 + 3*t^4.54 + 2*t^4.7 + 3*t^4.86 + t^5.19 + 2*t^5.51 + 5*t^5.68 + 2*t^5.84 - 2*t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
3263 | 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.8572, 0.6665, 1.1428, 0.3809, 0.7619, 0.7002], q:[0.4117, 0.7311], qb:[0.4455, 0.888], phi:[0.3809]] | t^2.1 + 2*t^2.29 + t^2.57 + t^3.43 + t^3.53 + t^3.61 + t^3.82 + t^4. + t^4.2 + 2*t^4.39 + 3*t^4.57 + t^4.67 + 3*t^4.86 + t^5.14 + t^5.53 + t^5.63 + 2*t^5.71 + t^5.82 + t^5.9 + t^5.92 - 2*t^6. - t^4.14/y - t^4.14*y | detail |