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 |
---|---|---|---|---|---|---|---|---|---|
56097 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0256, 1.0, 0.9744, 0.9872, 1.0128, 0.9872, 1.0064], q:[0.4936, 0.4808], qb:[0.5064, 0.532], phi:[0.4968]] | [M:[[8], [0], [-8], [-4], [4], [-4], [2]], q:[[-2], [-6]], qb:[[2], [10]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$ | ${}$ | -2 | t^2.923 + 2*t^2.962 + t^3. + t^3.019 + t^3.077 + t^3.115 + t^4.375 + t^4.414 + 2*t^4.452 + t^4.49 + 2*t^4.529 + t^4.567 + t^4.606 + t^4.683 + t^5.885 + 2*t^5.923 + t^5.942 + 2*t^5.981 - 2*t^6. + t^6.019 + t^6.038 + t^6.077 + t^6.096 + t^6.135 + t^6.192 + t^6.231 + t^7.298 + 2*t^7.337 + 3*t^7.375 + 3*t^7.414 + 3*t^7.452 + 3*t^7.49 + 3*t^7.529 + 2*t^7.567 + 2*t^7.606 + 3*t^7.644 + 2*t^7.683 + t^7.721 + t^7.759 + t^7.798 + t^8.75 + t^8.789 + 2*t^8.827 + 2*t^8.865 + 5*t^8.904 - 4*t^8.923 + 5*t^8.942 - 6*t^8.962 + 4*t^8.981 - t^4.49/y - t^7.452/y + t^7.529/y + (2*t^8.885)/y + (2*t^8.923)/y + t^8.942/y + (2*t^8.962)/y + (2*t^8.981)/y - t^4.49*y - t^7.452*y + t^7.529*y + 2*t^8.885*y + 2*t^8.923*y + t^8.942*y + 2*t^8.962*y + 2*t^8.981*y | t^2.923/g1^8 + (2*t^2.962)/g1^4 + t^3. + g1^2*t^3.019 + g1^8*t^3.077 + g1^12*t^3.115 + t^4.375/g1^13 + t^4.414/g1^9 + (2*t^4.452)/g1^5 + t^4.49/g1 + 2*g1^3*t^4.529 + g1^7*t^4.567 + g1^11*t^4.606 + g1^19*t^4.683 + t^5.885/g1^12 + (2*t^5.923)/g1^8 + t^5.942/g1^6 + (2*t^5.981)/g1^2 - 2*t^6. + g1^2*t^6.019 + g1^4*t^6.038 + g1^8*t^6.077 + g1^10*t^6.096 + g1^14*t^6.135 + g1^20*t^6.192 + g1^24*t^6.231 + t^7.298/g1^21 + (2*t^7.337)/g1^17 + (3*t^7.375)/g1^13 + (3*t^7.414)/g1^9 + (3*t^7.452)/g1^5 + (3*t^7.49)/g1 + 3*g1^3*t^7.529 + 2*g1^7*t^7.567 + 2*g1^11*t^7.606 + 3*g1^15*t^7.644 + 2*g1^19*t^7.683 + g1^23*t^7.721 + g1^27*t^7.759 + g1^31*t^7.798 + t^8.75/g1^26 + t^8.789/g1^22 + (2*t^8.827)/g1^18 + (2*t^8.865)/g1^14 + (5*t^8.904)/g1^10 - (4*t^8.923)/g1^8 + (5*t^8.942)/g1^6 - (6*t^8.962)/g1^4 + (4*t^8.981)/g1^2 - t^4.49/(g1*y) - t^7.452/(g1^5*y) + (g1^3*t^7.529)/y + (2*t^8.885)/(g1^12*y) + (2*t^8.923)/(g1^8*y) + t^8.942/(g1^6*y) + (2*t^8.962)/(g1^4*y) + (2*t^8.981)/(g1^2*y) - (t^4.49*y)/g1 - (t^7.452*y)/g1^5 + g1^3*t^7.529*y + (2*t^8.885*y)/g1^12 + (2*t^8.923*y)/g1^8 + (t^8.942*y)/g1^6 + (2*t^8.962*y)/g1^4 + (2*t^8.981*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
58251 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6345 | 0.7858 | 0.8074 | [M:[1.2105, 1.0, 0.7895, 0.8947, 1.1053, 0.8947, 1.0526], q:[0.4474, 0.3421], qb:[0.5526, 0.7632], phi:[0.4737]] | t^2.368 + 2*t^2.684 + t^3. + t^3.158 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + 2*t^5.053 + 3*t^5.368 + t^5.526 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 34815/54872, c: 21559/27436, M1: 23/19, M2: 1, M3: 15/19, M4: 17/19, M5: 21/19, M6: 17/19, M7: 20/19, q1: 17/38, q2: 13/38, qb1: 21/38, qb2: 29/38, phi1: 9/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
50868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6961 | 0.8501 | 0.8189 | [M:[1.0244, 0.9267, 0.9756, 1.0244, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5611, 0.5122], phi:[0.4878]] | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. - t^4.463/y - t^4.463*y | detail |