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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333 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ | 0.5867 | 0.74 | 0.7929 | [X:[], M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ M_3M_4$ | . | -5 | 2*t^2.29 + t^2.88 + t^3. + 2*t^3.06 + 2*t^3.76 + 2*t^3.82 + 6*t^4.59 + 2*t^5.29 + 4*t^5.35 + t^5.77 + t^5.88 + t^5.94 - 5*t^6. + 5*t^6.06 + 6*t^6.12 - 2*t^6.76 + 2*t^6.82 + 12*t^6.88 - 2*t^7.47 - 2*t^7.53 + 6*t^7.59 + 12*t^7.64 - 2*t^8.24 - 12*t^8.29 + 10*t^8.35 + 14*t^8.41 + t^8.65 + t^8.77 + t^8.83 - 2*t^8.88 - t^4.47/y - t^7.36/y + t^7.41/y - t^7.53/y + (2*t^7.59)/y + (2*t^8.18)/y + (2*t^8.29)/y + (4*t^8.35)/y + t^8.88/y + (2*t^8.94)/y - t^4.47*y - t^7.36*y + t^7.41*y - t^7.53*y + 2*t^7.59*y + 2*t^8.18*y + 2*t^8.29*y + 4*t^8.35*y + t^8.88*y + 2*t^8.94*y | (g1^7*t^2.29)/g2 + (g2^7*t^2.29)/g1 + t^2.88/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.06 + (g1^5*t^3.76)/g2^3 + (g2^5*t^3.76)/g1^3 + g1^9*g2*t^3.82 + g1*g2^9*t^3.82 + (2*g1^14*t^4.59)/g2^2 + 2*g1^6*g2^6*t^4.59 + (2*g2^14*t^4.59)/g1^2 + (g1^7*t^5.29)/g2 + (g2^7*t^5.29)/g1 + 2*g1^11*g2^3*t^5.35 + 2*g1^3*g2^11*t^5.35 + t^5.77/(g1^16*g2^16) + t^5.88/(g1^8*g2^8) + t^5.94/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.06)/g2^4 + 3*g1^4*g2^4*t^6.06 + (g2^12*t^6.06)/g1^4 + g1^16*t^6.12 + 4*g1^8*g2^8*t^6.12 + g2^16*t^6.12 - (g1^5*t^6.76)/g2^3 - (g2^5*t^6.76)/g1^3 + g1^9*g2*t^6.82 + g1*g2^9*t^6.82 + (2*g1^21*t^6.88)/g2^3 + 4*g1^13*g2^5*t^6.88 + 4*g1^5*g2^13*t^6.88 + (2*g2^21*t^6.88)/g1^3 - (2*t^7.47)/(g1^2*g2^2) - 2*g1^2*g2^2*t^7.53 + (2*g1^14*t^7.59)/g2^2 + 2*g1^6*g2^6*t^7.59 + (2*g2^14*t^7.59)/g1^2 + 4*g1^18*g2^2*t^7.64 + 4*g1^10*g2^10*t^7.64 + 4*g1^2*g2^18*t^7.64 - (g1^3*t^8.24)/g2^5 - (g2^3*t^8.24)/g1^5 - (g1^15*t^8.29)/g2^9 - (5*g1^7*t^8.29)/g2 - (5*g2^7*t^8.29)/g1 - (g2^15*t^8.29)/g1^9 + (2*g1^19*t^8.35)/g2^5 + 3*g1^11*g2^3*t^8.35 + 3*g1^3*g2^11*t^8.35 + (2*g2^19*t^8.35)/g1^5 + (2*g1^23*t^8.41)/g2 + 5*g1^15*g2^7*t^8.41 + 5*g1^7*g2^15*t^8.41 + (2*g2^23*t^8.41)/g1 + t^8.65/(g1^24*g2^24) + t^8.77/(g1^16*g2^16) + t^8.83/(g1^12*g2^12) - (2*t^8.88)/(g1^8*g2^8) - t^4.47/(g1^2*g2^2*y) - t^7.36/(g1^10*g2^10*y) + t^7.41/(g1^6*g2^6*y) - (g1^2*g2^2*t^7.53)/y + (2*g1^6*g2^6*t^7.59)/y + t^8.18/(g1*g2^9*y) + t^8.18/(g1^9*g2*y) + (g1^7*t^8.29)/(g2*y) + (g2^7*t^8.29)/(g1*y) + (2*g1^11*g2^3*t^8.35)/y + (2*g1^3*g2^11*t^8.35)/y + t^8.88/(g1^8*g2^8*y) + (2*t^8.94)/(g1^4*g2^4*y) - (t^4.47*y)/(g1^2*g2^2) - (t^7.36*y)/(g1^10*g2^10) + (t^7.41*y)/(g1^6*g2^6) - g1^2*g2^2*t^7.53*y + 2*g1^6*g2^6*t^7.59*y + (t^8.18*y)/(g1*g2^9) + (t^8.18*y)/(g1^9*g2) + (g1^7*t^8.29*y)/g2 + (g2^7*t^8.29*y)/g1 + 2*g1^11*g2^3*t^8.35*y + 2*g1^3*g2^11*t^8.35*y + (t^8.88*y)/(g1^8*g2^8) + (2*t^8.94*y)/(g1^4*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
524 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_2q_2\tilde{q}_1$ | 0.5648 | 0.7053 | 0.8008 | [X:[], M:[1.0, 1.1009, 0.7982, 1.1009], q:[0.7752, 0.2248], qb:[0.6743, 0.5275], phi:[0.4495]] | t^2.26 + t^2.39 + t^2.7 + t^3. + 2*t^3.3 + t^3.61 + t^3.91 + t^4.05 + t^4.35 + 2*t^4.51 + t^4.79 + 2*t^4.95 + t^5.26 + 3*t^5.39 + t^5.56 + 2*t^5.7 + t^5.86 - t^6. - t^4.35/y - t^4.35*y | detail | |
523 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
1775 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6069 | 0.7772 | 0.7809 | [X:[], M:[1.0, 1.026, 0.9481, 1.026, 0.7104], q:[0.7565, 0.2435], qb:[0.5331, 0.5188], phi:[0.487]] | t^2.13 + t^2.29 + t^2.33 + t^2.84 + t^3. + 2*t^3.08 + t^3.75 + t^3.79 + t^3.83 + t^4.26 + t^4.42 + t^4.46 + 2*t^4.57 + 2*t^4.62 + 2*t^4.66 + t^4.98 + t^5.13 + 2*t^5.21 + t^5.29 + t^5.33 + 2*t^5.36 + 2*t^5.41 + t^5.69 + t^5.84 + t^5.88 + 2*t^5.92 - 3*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
208 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5895 | 0.742 | 0.7945 | [X:[], M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] | 2*t^2.34 + t^2.76 + t^2.88 + t^3. + t^3.12 + 2*t^3.78 + 2*t^3.9 + 6*t^4.68 + 2*t^5.22 + 2*t^5.34 + 2*t^5.46 + t^5.51 + t^5.63 + 2*t^5.76 + t^5.88 - 4*t^6. - t^4.44/y - t^4.44*y | detail |