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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1219 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.667 | 0.8452 | 0.7893 | [X:[], M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]] | [X:[], M:[[6], [-14], [-6], [16], [-4], [-24]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_4M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_6$, $ M_6q_1\tilde{q}_1$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | $M_2q_1\tilde{q}_2$ | 0 | t^2.18 + t^2.27 + 2*t^2.36 + t^2.46 + t^2.55 + 2*t^3.54 + t^3.73 + t^4.35 + t^4.45 + 3*t^4.54 + 3*t^4.63 + 5*t^4.73 + 4*t^4.82 + 3*t^4.91 + t^5.01 + t^5.1 + 2*t^5.72 + t^5.81 + 3*t^5.91 + 2*t^6.09 + t^6.28 + t^6.53 + t^6.62 + 3*t^6.72 + 4*t^6.81 + 7*t^6.9 + 7*t^6.99 + 11*t^7.09 + 5*t^7.18 + 5*t^7.27 + 2*t^7.37 + 3*t^7.46 + t^7.55 + t^7.65 + 2*t^7.9 + t^7.99 + 4*t^8.08 + 2*t^8.27 - 2*t^8.36 - t^8.46 - 3*t^8.55 + t^8.64 + t^8.71 + t^8.8 + t^8.83 + 3*t^8.89 + 4*t^8.98 - t^4.18/y - t^6.36/y - t^6.45/y - (2*t^6.54)/y - t^6.73/y + t^7.45/y + (2*t^7.54)/y + (4*t^7.63)/y + (3*t^7.73)/y + (5*t^7.82)/y + (3*t^7.91)/y + (2*t^8.01)/y - t^8.53/y - t^8.63/y - t^8.72/y + t^8.91/y - t^4.18*y - t^6.36*y - t^6.45*y - 2*t^6.54*y - t^6.73*y + t^7.45*y + 2*t^7.54*y + 4*t^7.63*y + 3*t^7.73*y + 5*t^7.82*y + 3*t^7.91*y + 2*t^8.01*y - t^8.53*y - t^8.63*y - t^8.72*y + t^8.91*y | t^2.18/g1^24 + t^2.27/g1^14 + (2*t^2.36)/g1^4 + g1^6*t^2.46 + g1^16*t^2.55 + (2*t^3.54)/g1^6 + g1^14*t^3.73 + t^4.35/g1^48 + t^4.45/g1^38 + (3*t^4.54)/g1^28 + (3*t^4.63)/g1^18 + (5*t^4.73)/g1^8 + 4*g1^2*t^4.82 + 3*g1^12*t^4.91 + g1^22*t^5.01 + g1^32*t^5.1 + (2*t^5.72)/g1^30 + t^5.81/g1^20 + (3*t^5.91)/g1^10 + 2*g1^10*t^6.09 + g1^30*t^6.28 + t^6.53/g1^72 + t^6.62/g1^62 + (3*t^6.72)/g1^52 + (4*t^6.81)/g1^42 + (7*t^6.9)/g1^32 + (7*t^6.99)/g1^22 + (11*t^7.09)/g1^12 + (5*t^7.18)/g1^2 + 5*g1^8*t^7.27 + 2*g1^18*t^7.37 + 3*g1^28*t^7.46 + g1^38*t^7.55 + g1^48*t^7.65 + (2*t^7.9)/g1^54 + t^7.99/g1^44 + (4*t^8.08)/g1^34 + (2*t^8.27)/g1^14 - (2*t^8.36)/g1^4 - g1^6*t^8.46 - 3*g1^16*t^8.55 + g1^26*t^8.64 + t^8.71/g1^96 + t^8.8/g1^86 + g1^46*t^8.83 + (3*t^8.89)/g1^76 + (4*t^8.98)/g1^66 - t^4.18/(g1^2*y) - t^6.36/(g1^26*y) - t^6.45/(g1^16*y) - (2*t^6.54)/(g1^6*y) - (g1^14*t^6.73)/y + t^7.45/(g1^38*y) + (2*t^7.54)/(g1^28*y) + (4*t^7.63)/(g1^18*y) + (3*t^7.73)/(g1^8*y) + (5*g1^2*t^7.82)/y + (3*g1^12*t^7.91)/y + (2*g1^22*t^8.01)/y - t^8.53/(g1^50*y) - t^8.63/(g1^40*y) - t^8.72/(g1^30*y) + t^8.91/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.36*y)/g1^26 - (t^6.45*y)/g1^16 - (2*t^6.54*y)/g1^6 - g1^14*t^6.73*y + (t^7.45*y)/g1^38 + (2*t^7.54*y)/g1^28 + (4*t^7.63*y)/g1^18 + (3*t^7.73*y)/g1^8 + 5*g1^2*t^7.82*y + 3*g1^12*t^7.91*y + 2*g1^22*t^8.01*y - (t^8.53*y)/g1^50 - (t^8.63*y)/g1^40 - (t^8.72*y)/g1^30 + (t^8.91*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 |
---|---|---|---|---|---|---|---|---|
2268 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_3M_7$ | 0.6825 | 0.8716 | 0.783 | [X:[], M:[0.8159, 0.7629, 1.1841, 0.8423, 0.7894, 0.7365, 0.8159], q:[0.8026, 0.8026], qb:[0.3815, 0.4344], phi:[0.3947]] | t^2.21 + t^2.29 + 2*t^2.37 + 2*t^2.45 + t^2.53 + t^3.55 + t^3.71 + t^4.42 + t^4.5 + 3*t^4.58 + 4*t^4.66 + 6*t^4.74 + 6*t^4.82 + 5*t^4.9 + 2*t^4.97 + t^5.05 + t^5.76 + t^5.92 - t^4.18/y - t^4.18*y | detail | |
2269 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.686 | 0.8806 | 0.7791 | [X:[], M:[0.8225, 0.7474, 1.1775, 0.8601, 0.785, 0.7098, 0.7474], q:[0.8038, 0.8038], qb:[0.3737, 0.4488], phi:[0.3925]] | t^2.13 + 2*t^2.24 + 2*t^2.35 + t^2.47 + t^2.58 + 2*t^3.53 + t^4.26 + 2*t^4.37 + 5*t^4.48 + 5*t^4.6 + 6*t^4.71 + 5*t^4.82 + 3*t^4.94 + t^5.05 + t^5.16 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
742 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6476 | 0.8091 | 0.8003 | [X:[], M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | t^2.32 + 2*t^2.38 + t^2.43 + t^2.49 + 2*t^3.57 + t^3.68 + t^3.74 + t^4.64 + 2*t^4.7 + 4*t^4.75 + 4*t^4.81 + 3*t^4.87 + t^4.92 + t^4.98 + t^5.89 + 2*t^5.94 - t^4.19/y - t^4.19*y | detail |