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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47268 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6006 | 0.757 | 0.7934 | [M:[1.2513, 1.0, 0.7487, 0.6685, 0.9144], q:[0.3342, 0.4144], qb:[0.6658, 0.9171], phi:[0.4171]] | [M:[[3], [0], [-3], [4], [-5]], q:[[2], [-5]], qb:[[-2], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.005 + t^2.246 + t^2.503 + t^2.743 + t^3. + t^3.241 + t^3.497 + t^3.738 + t^3.754 + t^4.011 + t^4.251 + t^4.492 + t^4.508 + 3*t^4.749 + t^4.989 + 2*t^5.005 + 3*t^5.246 + 2*t^5.487 + t^5.503 + 3*t^5.743 + 2*t^5.984 + t^6.016 + 2*t^6.241 + t^6.257 + 2*t^6.481 + t^6.497 + t^6.513 + 2*t^6.738 + 2*t^6.754 + t^6.979 + t^6.995 + t^7.011 + t^7.235 + 3*t^7.251 + t^7.476 + 4*t^7.492 + 2*t^7.508 + 2*t^7.733 + 3*t^7.749 + 5*t^7.989 - 2*t^8.005 + t^8.021 + 3*t^8.23 + t^8.246 + 5*t^8.487 - t^8.503 + t^8.519 + 3*t^8.727 - t^8.743 + t^8.759 + 5*t^8.984 - t^4.251/y - t^6.257/y - t^6.754/y - t^6.995/y + t^7.251/y + (2*t^7.508)/y + (3*t^7.749)/y + t^7.989/y + t^8.005/y + (4*t^8.246)/y - t^8.262/y + t^8.487/y + (2*t^8.503)/y + (4*t^8.743)/y + (2*t^8.984)/y - t^4.251*y - t^6.257*y - t^6.754*y - t^6.995*y + t^7.251*y + 2*t^7.508*y + 3*t^7.749*y + t^7.989*y + t^8.005*y + 4*t^8.246*y - t^8.262*y + t^8.487*y + 2*t^8.503*y + 4*t^8.743*y + 2*t^8.984*y | g1^4*t^2.005 + t^2.246/g1^3 + g1^2*t^2.503 + t^2.743/g1^5 + t^3. + t^3.241/g1^7 + t^3.497/g1^2 + t^3.738/g1^9 + g1^3*t^3.754 + g1^8*t^4.011 + g1*t^4.251 + t^4.492/g1^6 + g1^6*t^4.508 + (3*t^4.749)/g1 + t^4.989/g1^8 + 2*g1^4*t^5.005 + (3*t^5.246)/g1^3 + (2*t^5.487)/g1^10 + g1^2*t^5.503 + (3*t^5.743)/g1^5 + (2*t^5.984)/g1^12 + g1^12*t^6.016 + (2*t^6.241)/g1^7 + g1^5*t^6.257 + (2*t^6.481)/g1^14 + t^6.497/g1^2 + g1^10*t^6.513 + (2*t^6.738)/g1^9 + 2*g1^3*t^6.754 + t^6.979/g1^16 + t^6.995/g1^4 + g1^8*t^7.011 + t^7.235/g1^11 + 3*g1*t^7.251 + t^7.476/g1^18 + (4*t^7.492)/g1^6 + 2*g1^6*t^7.508 + (2*t^7.733)/g1^13 + (3*t^7.749)/g1 + (5*t^7.989)/g1^8 - 2*g1^4*t^8.005 + g1^16*t^8.021 + (3*t^8.23)/g1^15 + t^8.246/g1^3 + (5*t^8.487)/g1^10 - g1^2*t^8.503 + g1^14*t^8.519 + (3*t^8.727)/g1^17 - t^8.743/g1^5 + g1^7*t^8.759 + (5*t^8.984)/g1^12 - (g1*t^4.251)/y - (g1^5*t^6.257)/y - (g1^3*t^6.754)/y - t^6.995/(g1^4*y) + (g1*t^7.251)/y + (2*g1^6*t^7.508)/y + (3*t^7.749)/(g1*y) + t^7.989/(g1^8*y) + (g1^4*t^8.005)/y + (4*t^8.246)/(g1^3*y) - (g1^9*t^8.262)/y + t^8.487/(g1^10*y) + (2*g1^2*t^8.503)/y + (4*t^8.743)/(g1^5*y) + (2*t^8.984)/(g1^12*y) - g1*t^4.251*y - g1^5*t^6.257*y - g1^3*t^6.754*y - (t^6.995*y)/g1^4 + g1*t^7.251*y + 2*g1^6*t^7.508*y + (3*t^7.749*y)/g1 + (t^7.989*y)/g1^8 + g1^4*t^8.005*y + (4*t^8.246*y)/g1^3 - g1^9*t^8.262*y + (t^8.487*y)/g1^10 + 2*g1^2*t^8.503*y + (4*t^8.743*y)/g1^5 + (2*t^8.984*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
50939 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5865 | 0.7334 | 0.7996 | [M:[1.2568, 1.0, 0.7432, 0.6757, 0.9054, 1.1622], q:[0.3378, 0.4054], qb:[0.6622, 0.9189], phi:[0.4189]] | t^2.027 + t^2.23 + t^2.716 + t^3. + t^3.203 + 2*t^3.486 + t^3.689 + t^3.77 + t^4.054 + t^4.257 + t^4.459 + 2*t^4.743 + t^4.946 + t^5.027 + 2*t^5.23 + 2*t^5.432 + t^5.514 + 3*t^5.716 + 2*t^5.919 - t^6. - t^4.257/y - t^4.257*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 |
---|---|---|---|---|---|---|---|---|---|
46787 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6525 | 0.8144 | 0.8012 | [M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. - t^4.153/y - t^4.153*y | detail |