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 |
---|---|---|---|---|---|---|---|---|---|
55079 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6815 | 0.8455 | 0.806 | [M:[1.0834, 0.7499, 0.7499, 1.0834, 0.9166, 1.0834], q:[0.4793, 0.4374], qb:[0.7708, 0.4793], phi:[0.4583]] | [M:[[4], [-12], [-12], [4], [-4], [4]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{5}M_{6}$ | -3 | 2*t^2.25 + t^2.75 + t^2.876 + 2*t^3.25 + t^3.625 + t^3.999 + 2*t^4.125 + 3*t^4.251 + 3*t^4.499 + 2*t^5. + 2*t^5.125 + 5*t^5.5 + t^5.625 + t^5.751 - 3*t^6. + 2*t^6.249 + 4*t^6.375 + 7*t^6.5 + 5*t^6.749 + 2*t^6.875 + 2*t^7. + 3*t^7.126 + 3*t^7.249 + t^7.375 + t^7.501 + t^7.624 + 8*t^7.749 + t^7.875 + t^7.998 + t^8.124 - 3*t^8.25 + 3*t^8.375 + 3*t^8.498 + 6*t^8.501 + 4*t^8.624 + t^8.627 + 6*t^8.75 - 5*t^8.876 + 7*t^8.999 - t^4.375/y - (2*t^6.625)/y + t^7.125/y + t^7.499/y - t^7.625/y + (2*t^8.)/y + (4*t^8.125)/y + (4*t^8.5)/y + t^8.625/y - t^8.874/y - t^4.375*y - 2*t^6.625*y + t^7.125*y + t^7.499*y - t^7.625*y + 2*t^8.*y + 4*t^8.125*y + 4*t^8.5*y + t^8.625*y - t^8.874*y | (2*t^2.25)/g1^12 + t^2.75/g1^4 + g1^22*t^2.876 + 2*g1^4*t^3.25 + t^3.625/g1^14 + t^3.999/g1^32 + (2*t^4.125)/g1^6 + 3*g1^20*t^4.251 + (3*t^4.499)/g1^24 + (2*t^5.)/g1^16 + 2*g1^10*t^5.125 + (5*t^5.5)/g1^8 + g1^18*t^5.625 + g1^44*t^5.751 - 3*t^6. + (2*t^6.249)/g1^44 + (4*t^6.375)/g1^18 + 7*g1^8*t^6.5 + (5*t^6.749)/g1^36 + (2*t^6.875)/g1^10 + 2*g1^16*t^7. + 3*g1^42*t^7.126 + (3*t^7.249)/g1^28 + t^7.375/g1^2 + g1^24*t^7.501 + t^7.624/g1^46 + (8*t^7.749)/g1^20 + g1^6*t^7.875 + t^7.998/g1^64 + t^8.124/g1^38 - (3*t^8.25)/g1^12 + 3*g1^14*t^8.375 + (3*t^8.498)/g1^56 + 6*g1^40*t^8.501 + (4*t^8.624)/g1^30 + g1^66*t^8.627 + (6*t^8.75)/g1^4 - 5*g1^22*t^8.876 + (7*t^8.999)/g1^48 - t^4.375/(g1^2*y) - (2*t^6.625)/(g1^14*y) + t^7.125/(g1^6*y) + t^7.499/(g1^24*y) - (g1^2*t^7.625)/y + (2*t^8.)/(g1^16*y) + (4*g1^10*t^8.125)/y + (4*t^8.5)/(g1^8*y) + (g1^18*t^8.625)/y - t^8.874/(g1^26*y) - (t^4.375*y)/g1^2 - (2*t^6.625*y)/g1^14 + (t^7.125*y)/g1^6 + (t^7.499*y)/g1^24 - g1^2*t^7.625*y + (2*t^8.*y)/g1^16 + 4*g1^10*t^8.125*y + (4*t^8.5*y)/g1^8 + g1^18*t^8.625*y - (t^8.874*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56639 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6739 | 0.8327 | 0.8093 | [M:[1.0819, 0.7542, 0.7542, 1.0819, 0.9181, 1.0819, 1.0819], q:[0.4753, 0.4428], qb:[0.7705, 0.4753], phi:[0.459]] | 2*t^2.263 + t^2.852 + 3*t^3.246 + t^3.64 + t^4.034 + 2*t^4.131 + 3*t^4.229 + 3*t^4.525 + 2*t^5.114 + 6*t^5.508 + t^5.704 - 5*t^6. - t^4.377/y - t^4.377*y | detail | |
56640 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6797 | 0.8448 | 0.8046 | [M:[1.0917, 0.7249, 0.7249, 1.0917, 0.9083, 1.0917, 0.9956], q:[0.5022, 0.4061], qb:[0.7729, 0.5022], phi:[0.4541]] | 2*t^2.175 + t^2.725 + t^2.987 + 2*t^3.275 + t^3.537 + t^3.799 + 2*t^4.087 + 3*t^4.349 + 3*t^4.376 + 2*t^4.9 + 2*t^5.162 + 5*t^5.45 + t^5.712 + 3*t^5.974 - 3*t^6. - t^4.362/y - t^4.362*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 |
---|---|---|---|---|---|---|---|---|---|
46807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.6892 | 0.8587 | 0.8026 | [M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | 2*t^2.237 + 2*t^2.746 + t^2.899 + t^3.254 + t^3.61 + t^3.965 + 2*t^4.118 + 3*t^4.272 + 3*t^4.474 + 4*t^4.982 + 2*t^5.136 + 5*t^5.491 + 2*t^5.645 + t^5.798 - 3*t^6. - t^4.373/y - t^4.373*y | detail |