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 |
---|---|---|---|---|---|---|---|---|---|
46953 | 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$ + $ \phi_1q_2^2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.641 | 0.7974 | 0.8038 | [X:[1.4972], M:[0.5028, 0.9322, 1.2147, 0.7853, 0.7119], q:[0.7119, 0.7853], qb:[0.3559, 0.4294], phi:[0.4294]] | [X:[[7]], M:[[-7], [-9], [-1], [1], [6]], q:[[6], [1]], qb:[[3], [-2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ M_2\phi_1^2$, $ \phi_1q_1^2$, $ M_5q_2\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_2^2$, $ M_3M_5$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.14 + t^2.36 + t^2.58 + t^2.8 + 3*t^3.42 + 2*t^3.64 + t^4.27 + 3*t^4.49 + 3*t^4.71 + t^4.93 + t^5.15 + t^5.37 + 4*t^5.56 + t^5.59 + 4*t^5.78 + t^6. + t^6.22 + t^6.41 + t^6.44 + 3*t^6.63 + 7*t^6.85 + 4*t^7.07 + t^7.29 + t^7.51 + 4*t^7.7 + 2*t^7.73 + 8*t^7.92 + t^7.95 + 5*t^8.14 + t^8.17 - 3*t^8.36 + t^8.39 + t^8.54 - 2*t^8.58 + 3*t^8.76 - t^8.8 + 10*t^8.98 - t^4.29/y - t^6.42/y - t^6.86/y - t^7.08/y + (2*t^7.49)/y + (2*t^7.71)/y + (2*t^7.93)/y + (2*t^8.15)/y + t^8.37/y + (2*t^8.56)/y + (5*t^8.78)/y - t^4.29*y - t^6.42*y - t^6.86*y - t^7.08*y + 2*t^7.49*y + 2*t^7.71*y + 2*t^7.93*y + 2*t^8.15*y + t^8.37*y + 2*t^8.56*y + 5*t^8.78*y | g1^6*t^2.14 + g1*t^2.36 + t^2.58/g1^4 + t^2.8/g1^9 + 3*g1^4*t^3.42 + (2*t^3.64)/g1 + g1^12*t^4.27 + 3*g1^7*t^4.49 + 3*g1^2*t^4.71 + t^4.93/g1^3 + t^5.15/g1^8 + t^5.37/g1^13 + 4*g1^10*t^5.56 + t^5.59/g1^18 + 4*g1^5*t^5.78 + t^6. + t^6.22/g1^5 + g1^18*t^6.41 + t^6.44/g1^10 + 3*g1^13*t^6.63 + 7*g1^8*t^6.85 + 4*g1^3*t^7.07 + t^7.29/g1^2 + t^7.51/g1^7 + 4*g1^16*t^7.7 + (2*t^7.73)/g1^12 + 8*g1^11*t^7.92 + t^7.95/g1^17 + 5*g1^6*t^8.14 + t^8.17/g1^22 - 3*g1*t^8.36 + t^8.39/g1^27 + g1^24*t^8.54 - (2*t^8.58)/g1^4 + 3*g1^19*t^8.76 - t^8.8/g1^9 + 10*g1^14*t^8.98 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y - t^6.86/(g1^6*y) - t^7.08/(g1^11*y) + (2*g1^7*t^7.49)/y + (2*g1^2*t^7.71)/y + (2*t^7.93)/(g1^3*y) + (2*t^8.15)/(g1^8*y) + t^8.37/(g1^13*y) + (2*g1^10*t^8.56)/y + (5*g1^5*t^8.78)/y - (t^4.29*y)/g1^2 - g1^4*t^6.42*y - (t^6.86*y)/g1^6 - (t^7.08*y)/g1^11 + 2*g1^7*t^7.49*y + 2*g1^2*t^7.71*y + (2*t^7.93*y)/g1^3 + (2*t^8.15*y)/g1^8 + (t^8.37*y)/g1^13 + 2*g1^10*t^8.56*y + 5*g1^5*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
54924 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.5066, 0.937, 1.2152, 0.7848, 0.7086, 0.7848], q:[0.7086, 0.7848], qb:[0.3543, 0.4305], phi:[0.4305]] | t^2.13 + 2*t^2.35 + t^2.58 + t^2.81 + 3*t^3.42 + t^3.65 + t^4.25 + 4*t^4.48 + 5*t^4.71 + 2*t^4.94 + 2*t^5.17 + t^5.39 + 4*t^5.54 + t^5.62 + 6*t^5.77 + t^6. - t^4.29/y - t^4.29*y | detail | |
55359 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.629 | 0.7788 | 0.8077 | [X:[1.4751], M:[0.5249, 0.9606, 1.2178, 0.7822, 0.6929, 1.1286], q:[0.6929, 0.7822], qb:[0.3465, 0.4357], phi:[0.4357]] | t^2.08 + t^2.35 + t^2.88 + 4*t^3.39 + 2*t^3.65 + t^4.16 + 3*t^4.43 + 2*t^4.69 + 5*t^5.46 + 5*t^5.73 + t^5.76 - 2*t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
46697 | 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$ + $ \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 |