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 |
---|---|---|---|---|---|---|---|---|---|
3634 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6169 | 0.7615 | 0.8102 | [X:[1.6], M:[0.4, 1.2, 0.7434, 0.7434], q:[0.8283, 0.7717], qb:[0.4283, 0.3717], phi:[0.4]] | [X:[[0]], M:[[0], [0], [2], [2]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^2q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.23 + t^2.4 + 2*t^3.43 + 4*t^3.6 + 3*t^4.46 + 2*t^4.63 + 2*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - 2*t^6.17 + 4*t^6.69 + 6*t^6.86 + 8*t^7.03 + 3*t^7.2 - 4*t^7.37 + 6*t^7.89 + 12*t^8.06 - 2*t^8.23 - 4*t^8.4 - 4*t^8.57 + 5*t^8.92 - t^4.2/y - (2*t^6.43)/y + t^7.46/y + (2*t^7.63)/y + (2*t^7.97)/y + t^8.66/y + (10*t^8.83)/y - t^4.2*y - 2*t^6.43*y + t^7.46*y + 2*t^7.63*y + 2*t^7.97*y + t^8.66*y + 10*t^8.83*y | 2*g1^2*t^2.23 + t^2.4 + 2*g1^2*t^3.43 + 4*t^3.6 + 3*g1^4*t^4.46 + 2*g1^2*t^4.63 + 2*t^4.8 + 4*g1^4*t^5.66 + 8*g1^2*t^5.83 - t^6. - (2*t^6.17)/g1^2 + 4*g1^6*t^6.69 + 6*g1^4*t^6.86 + 8*g1^2*t^7.03 + 3*t^7.2 - (4*t^7.37)/g1^2 + 6*g1^6*t^7.89 + 12*g1^4*t^8.06 - 2*g1^2*t^8.23 - 4*t^8.4 - (4*t^8.57)/g1^2 + 5*g1^8*t^8.92 - t^4.2/y - (2*g1^2*t^6.43)/y + (g1^4*t^7.46)/y + (2*g1^2*t^7.63)/y + (2*t^7.97)/(g1^2*y) + (g1^4*t^8.66)/y + (10*g1^2*t^8.83)/y - t^4.2*y - 2*g1^2*t^6.43*y + g1^4*t^7.46*y + 2*g1^2*t^7.63*y + (2*t^7.97*y)/g1^2 + g1^4*t^8.66*y + 10*g1^2*t^8.83*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3212 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.5981 | 0.7252 | 0.8246 | [X:[1.6], M:[0.4, 1.2, 0.7651], q:[0.8175, 0.7825], qb:[0.4175, 0.3825], phi:[0.4]] | t^2.3 + t^2.4 + 2*t^3.5 + 4*t^3.6 + t^3.7 + t^4.59 + t^4.7 + 2*t^4.8 + 2*t^5.79 + 4*t^5.9 - t^4.2/y - t^4.2*y | detail |