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 |
---|---|---|---|---|---|---|---|---|---|
2621 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6538 | 0.8126 | 0.8046 | [M:[1.0497, 0.8302, 1.06, 0.8199, 1.1801, 0.6998, 1.1698], q:[0.5352, 0.4151], qb:[0.4048, 0.765], phi:[0.47]] | [M:[[-30], [22], [4], [-12], [12], [-20], [-22]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{6}q_{1}\tilde{q}_{2}$ | 0 | t^2.099 + t^2.46 + t^2.82 + t^3.149 + t^3.18 + t^3.509 + t^3.54 + t^3.838 + t^3.87 + t^3.901 + t^4.199 + t^4.23 + t^4.261 + t^4.559 + t^4.621 + 2*t^4.919 + t^5.248 + 2*t^5.279 + t^5.609 + 2*t^5.64 + t^5.938 + 2*t^5.969 - t^6.031 + 3*t^6.298 + 3*t^6.329 + t^6.36 - t^6.391 + 3*t^6.658 + 2*t^6.689 + 2*t^6.721 + t^6.988 + 3*t^7.019 + t^7.05 + t^7.081 + 2*t^7.348 + 4*t^7.379 + t^7.441 + t^7.677 + 2*t^7.708 + 4*t^7.739 + t^7.77 + t^8.037 + 3*t^8.068 + t^8.099 - t^8.13 + t^8.162 + 3*t^8.397 + 3*t^8.429 + t^8.46 - 2*t^8.491 + t^8.522 + 4*t^8.758 + 3*t^8.789 - t^8.82 - t^8.851 + t^8.882 - t^4.41/y - t^6.509/y + t^7.261/y + t^7.919/y + t^8.248/y + (2*t^8.279)/y + t^8.311/y + t^8.609/y + (2*t^8.64)/y + t^8.938/y + (3*t^8.969)/y - t^4.41*y - t^6.509*y + t^7.261*y + t^7.919*y + t^8.248*y + 2*t^8.279*y + t^8.311*y + t^8.609*y + 2*t^8.64*y + t^8.938*y + 3*t^8.969*y | t^2.099/g1^20 + t^2.46/g1^12 + t^2.82/g1^4 + t^3.149/g1^30 + g1^4*t^3.18 + t^3.509/g1^22 + g1^12*t^3.54 + t^3.838/g1^48 + t^3.87/g1^14 + g1^20*t^3.901 + t^4.199/g1^40 + t^4.23/g1^6 + g1^28*t^4.261 + t^4.559/g1^32 + g1^36*t^4.621 + (2*t^4.919)/g1^24 + t^5.248/g1^50 + (2*t^5.279)/g1^16 + t^5.609/g1^42 + (2*t^5.64)/g1^8 + t^5.938/g1^68 + (2*t^5.969)/g1^34 - g1^34*t^6.031 + (3*t^6.298)/g1^60 + (3*t^6.329)/g1^26 + g1^8*t^6.36 - g1^42*t^6.391 + (3*t^6.658)/g1^52 + (2*t^6.689)/g1^18 + 2*g1^16*t^6.721 + t^6.988/g1^78 + (3*t^7.019)/g1^44 + t^7.05/g1^10 + g1^24*t^7.081 + (2*t^7.348)/g1^70 + (4*t^7.379)/g1^36 + g1^32*t^7.441 + t^7.677/g1^96 + (2*t^7.708)/g1^62 + (4*t^7.739)/g1^28 + g1^6*t^7.77 + t^8.037/g1^88 + (3*t^8.068)/g1^54 + t^8.099/g1^20 - g1^14*t^8.13 + g1^48*t^8.162 + (3*t^8.397)/g1^80 + (3*t^8.429)/g1^46 + t^8.46/g1^12 - 2*g1^22*t^8.491 + g1^56*t^8.522 + (4*t^8.758)/g1^72 + (3*t^8.789)/g1^38 - t^8.82/g1^4 - g1^30*t^8.851 + g1^64*t^8.882 - t^4.41/(g1^2*y) - t^6.509/(g1^22*y) + (g1^28*t^7.261)/y + t^7.919/(g1^24*y) + t^8.248/(g1^50*y) + (2*t^8.279)/(g1^16*y) + (g1^18*t^8.311)/y + t^8.609/(g1^42*y) + (2*t^8.64)/(g1^8*y) + t^8.938/(g1^68*y) + (3*t^8.969)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.509*y)/g1^22 + g1^28*t^7.261*y + (t^7.919*y)/g1^24 + (t^8.248*y)/g1^50 + (2*t^8.279*y)/g1^16 + g1^18*t^8.311*y + (t^8.609*y)/g1^42 + (2*t^8.64*y)/g1^8 + (t^8.938*y)/g1^68 + (3*t^8.969*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
4756 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6742 | 0.8507 | 0.7925 | [M:[1.0626, 0.8208, 1.0583, 0.825, 1.175, 0.7084, 1.1792, 0.6999], q:[0.5271, 0.4104], qb:[0.4146, 0.7646], phi:[0.4708]] | t^2.1 + t^2.125 + t^2.475 + t^2.825 + t^3.175 + t^3.188 + t^3.525 + t^3.538 + t^3.875 + t^3.888 + t^4.2 + 2*t^4.225 + t^4.238 + t^4.25 + 2*t^4.575 + t^4.6 + t^4.925 + 2*t^4.95 + t^5.275 + t^5.287 + 2*t^5.3 + t^5.313 + t^5.625 + t^5.637 + 2*t^5.65 + t^5.663 + t^5.975 - t^4.413/y - t^4.413*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 |
---|---|---|---|---|---|---|---|---|---|
1527 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6689 | 0.8376 | 0.7985 | [M:[1.0713, 0.8144, 1.0572, 0.8285, 1.1715, 0.7142], q:[0.5215, 0.4072], qb:[0.4213, 0.7643], phi:[0.4714]] | t^2.143 + t^2.443 + t^2.486 + t^2.829 + t^3.171 + t^3.214 + t^3.514 + t^3.857 + t^3.9 + t^3.942 + t^4.2 + t^4.243 + t^4.285 + t^4.543 + t^4.586 + t^4.628 + t^4.886 + t^4.929 + 2*t^4.971 + t^5.272 + 2*t^5.314 + t^5.356 + t^5.615 + 3*t^5.657 - t^4.414/y - t^4.414*y | detail |