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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47017 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.3155], M:[0.7113, 1.0, 1.0268, 0.9732, 0.6845], q:[0.3155, 0.9732], qb:[0.6845, 0.6577], phi:[0.3423]] | [X:[[2]], M:[[-5], [0], [-3], [3], [-2]], q:[[2], [3]], qb:[[-2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{5}X_{1}$ | -2 | t^2.054 + t^2.134 + 2*t^2.92 + t^3. + t^3.946 + t^4.027 + t^4.107 + t^4.187 + t^4.268 + t^4.893 + 3*t^4.973 + 2*t^5.054 + t^5.134 + 3*t^5.839 + t^5.92 - 2*t^6. + 2*t^6.161 + t^6.241 + t^6.321 + t^6.402 + t^6.866 + t^6.946 + 2*t^7.027 + 2*t^7.107 + 2*t^7.187 + t^7.268 + t^7.813 + 3*t^7.893 + t^7.973 - 2*t^8.134 + t^8.214 + 2*t^8.294 + t^8.375 + t^8.455 + t^8.535 + 4*t^8.759 - 5*t^8.92 - t^4.027/y - t^6.08/y - t^6.161/y + t^7.187/y + t^7.893/y + (3*t^7.973)/y + (3*t^8.054)/y - t^8.214/y - t^8.294/y + t^8.839/y + (2*t^8.92)/y - t^4.027*y - t^6.08*y - t^6.161*y + t^7.187*y + t^7.893*y + 3*t^7.973*y + 3*t^8.054*y - t^8.214*y - t^8.294*y + t^8.839*y + 2*t^8.92*y | t^2.054/g1^2 + t^2.134/g1^5 + 2*g1^3*t^2.92 + t^3. + g1^2*t^3.946 + t^4.027/g1 + t^4.107/g1^4 + t^4.187/g1^7 + t^4.268/g1^10 + g1^4*t^4.893 + 3*g1*t^4.973 + (2*t^5.054)/g1^2 + t^5.134/g1^5 + 3*g1^6*t^5.839 + g1^3*t^5.92 - 2*t^6. + (2*t^6.161)/g1^6 + t^6.241/g1^9 + t^6.321/g1^12 + t^6.402/g1^15 + g1^5*t^6.866 + g1^2*t^6.946 + (2*t^7.027)/g1 + (2*t^7.107)/g1^4 + (2*t^7.187)/g1^7 + t^7.268/g1^10 + g1^7*t^7.813 + 3*g1^4*t^7.893 + g1*t^7.973 - (2*t^8.134)/g1^5 + t^8.214/g1^8 + (2*t^8.294)/g1^11 + t^8.375/g1^14 + t^8.455/g1^17 + t^8.535/g1^20 + 4*g1^9*t^8.759 - 5*g1^3*t^8.92 - t^4.027/(g1*y) - t^6.08/(g1^3*y) - t^6.161/(g1^6*y) + t^7.187/(g1^7*y) + (g1^4*t^7.893)/y + (3*g1*t^7.973)/y + (3*t^8.054)/(g1^2*y) - t^8.214/(g1^8*y) - t^8.294/(g1^11*y) + (g1^6*t^8.839)/y + (2*g1^3*t^8.92)/y - (t^4.027*y)/g1 - (t^6.08*y)/g1^3 - (t^6.161*y)/g1^6 + (t^7.187*y)/g1^7 + g1^4*t^7.893*y + 3*g1*t^7.973*y + (3*t^8.054*y)/g1^2 - (t^8.214*y)/g1^8 - (t^8.294*y)/g1^11 + g1^6*t^8.839*y + 2*g1^3*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
55296 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.3032], M:[0.742, 1.0, 1.0452, 0.9548, 0.6968, 1.258], q:[0.3032, 0.9548], qb:[0.6968, 0.6516], phi:[0.3484]] | t^2.09 + 2*t^2.864 + t^3. + t^3.774 + t^3.91 + t^4.045 + t^4.181 + t^4.819 + 3*t^4.955 + 3*t^5.729 + 2*t^5.864 - 2*t^6. - t^4.045/y - t^4.045*y | detail | |
55369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}X_{1}$ | 0.5845 | 0.7293 | 0.8015 | [X:[1.3167], M:[0.7083, 1.0, 1.025, 0.975, 0.6833, 0.6833], q:[0.3167, 0.975], qb:[0.6833, 0.6583], phi:[0.3417]] | 2*t^2.05 + t^2.125 + 2*t^2.925 + t^3. + t^4.025 + 3*t^4.1 + 2*t^4.175 + t^4.25 + t^4.9 + 5*t^4.975 + 3*t^5.05 + t^5.125 + 3*t^5.85 + t^5.925 - 3*t^6. - t^4.025/y - t^4.025*y | detail | {a: 89779/153600, c: 112019/153600, X1: 79/60, M1: 17/24, M2: 1, M3: 41/40, M4: 39/40, M5: 41/60, M6: 41/60, q1: 19/60, q2: 39/40, qb1: 41/60, qb2: 79/120, phi1: 41/120} |
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 |
---|---|---|---|---|---|---|---|---|---|
46401 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ | 0.543 | 0.6484 | 0.8375 | [X:[1.3141], M:[0.7147, 1.0, 1.0288, 0.9712], q:[0.3141, 0.9712], qb:[0.6859, 0.6571], phi:[0.3429]] | t^2.144 + 2*t^2.914 + t^3. + 2*t^3.942 + t^4.029 + t^4.288 + t^4.885 + t^4.971 + t^5.058 + t^5.144 + 3*t^5.827 + t^5.914 - 3*t^6. - t^4.029/y - t^4.029*y | detail |