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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2821 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6079 | 0.7795 | 0.7799 | [M:[0.9824, 1.0528, 1.0176, 0.9472, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | [M:[[4], [-12], [-4], [12], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.184 + t^2.29 + t^2.395 + t^2.842 + 2*t^3.053 + t^3.158 + 2*t^3.71 + t^3.816 + t^4.262 + 2*t^4.368 + 2*t^4.474 + 2*t^4.579 + t^4.685 + t^4.79 + t^5.026 + t^5.131 + 3*t^5.237 + 2*t^5.342 + 2*t^5.448 + t^5.554 + t^5.683 + 2*t^5.894 + 3*t^6.106 + 3*t^6.211 + t^6.317 + t^6.446 + 3*t^6.552 + t^6.658 + 4*t^6.763 + 4*t^6.869 + 2*t^6.974 + t^7.08 + t^7.104 + t^7.186 + t^7.21 + 2*t^7.315 + 4*t^7.421 + 3*t^7.526 + 4*t^7.632 + 2*t^7.738 + 2*t^7.843 + t^7.867 + t^7.949 + 2*t^7.973 + 2*t^8.078 - t^8.184 + 2*t^8.29 + t^8.395 + 3*t^8.501 + 2*t^8.525 + 3*t^8.606 + 2*t^8.63 + t^8.712 + 4*t^8.736 + 2*t^8.947 - t^4.526/y - t^6.922/y + (2*t^7.474)/y + t^7.685/y + t^8.026/y + (2*t^8.131)/y + (3*t^8.237)/y + (3*t^8.342)/y + (3*t^8.448)/y + t^8.554/y + (4*t^8.894)/y - t^4.526*y - t^6.922*y + 2*t^7.474*y + t^7.685*y + t^8.026*y + 2*t^8.131*y + 3*t^8.237*y + 3*t^8.342*y + 3*t^8.448*y + t^8.554*y + 4*t^8.894*y | g1^5*t^2.184 + t^2.29/g1^3 + t^2.395/g1^11 + g1^12*t^2.842 + (2*t^3.053)/g1^4 + t^3.158/g1^12 + 2*g1^3*t^3.71 + t^3.816/g1^5 + g1^18*t^4.262 + 2*g1^10*t^4.368 + 2*g1^2*t^4.474 + (2*t^4.579)/g1^6 + t^4.685/g1^14 + t^4.79/g1^22 + g1^17*t^5.026 + g1^9*t^5.131 + 3*g1*t^5.237 + (2*t^5.342)/g1^7 + (2*t^5.448)/g1^15 + t^5.554/g1^23 + g1^24*t^5.683 + 2*g1^8*t^5.894 + (3*t^6.106)/g1^8 + (3*t^6.211)/g1^16 + t^6.317/g1^24 + g1^23*t^6.446 + 3*g1^15*t^6.552 + g1^7*t^6.658 + (4*t^6.763)/g1 + (4*t^6.869)/g1^9 + (2*t^6.974)/g1^17 + t^7.08/g1^25 + g1^30*t^7.104 + t^7.186/g1^33 + g1^22*t^7.21 + 2*g1^14*t^7.315 + 4*g1^6*t^7.421 + (3*t^7.526)/g1^2 + (4*t^7.632)/g1^10 + (2*t^7.738)/g1^18 + (2*t^7.843)/g1^26 + g1^29*t^7.867 + t^7.949/g1^34 + 2*g1^21*t^7.973 + 2*g1^13*t^8.078 - g1^5*t^8.184 + (2*t^8.29)/g1^3 + t^8.395/g1^11 + (3*t^8.501)/g1^19 + 2*g1^36*t^8.525 + (3*t^8.606)/g1^27 + 2*g1^28*t^8.63 + t^8.712/g1^35 + 4*g1^20*t^8.736 + 2*g1^4*t^8.947 - t^4.526/(g1^2*y) - t^6.922/(g1^13*y) + (2*g1^2*t^7.474)/y + t^7.685/(g1^14*y) + (g1^17*t^8.026)/y + (2*g1^9*t^8.131)/y + (3*g1*t^8.237)/y + (3*t^8.342)/(g1^7*y) + (3*t^8.448)/(g1^15*y) + t^8.554/(g1^23*y) + (4*g1^8*t^8.894)/y - (t^4.526*y)/g1^2 - (t^6.922*y)/g1^13 + 2*g1^2*t^7.474*y + (t^7.685*y)/g1^14 + g1^17*t^8.026*y + 2*g1^9*t^8.131*y + 3*g1*t^8.237*y + (3*t^8.342*y)/g1^7 + (3*t^8.448*y)/g1^15 + (t^8.554*y)/g1^23 + 4*g1^8*t^8.894*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 |
---|---|---|---|---|---|---|---|---|
3351 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6015 | 0.7727 | 0.7784 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | t^2.087 + t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 3*t^4.696 + 2*t^4.957 + 5*t^5.217 + 2*t^5.478 + 4*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 117099/194672, c: 75213/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
3350 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6147 | 0.7919 | 0.7762 | [M:[0.9688, 1.0936, 1.0312, 0.9064, 0.8358, 0.9064], q:[0.7422, 0.289], qb:[0.4844, 0.422], phi:[0.5156]] | t^2.133 + t^2.32 + t^2.507 + 2*t^2.719 + 2*t^3.094 + 2*t^3.68 + t^3.867 + t^4.079 + 2*t^4.266 + 2*t^4.453 + 2*t^4.64 + t^4.827 + 2*t^4.852 + t^5.015 + 2*t^5.039 + 4*t^5.227 + t^5.414 + 3*t^5.439 + t^5.601 + 4*t^5.813 - t^6. - t^4.547/y - t^4.547*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 |
---|---|---|---|---|---|---|---|---|---|
1807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5921 | 0.7527 | 0.7867 | [M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | t^2.147 + t^2.312 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.524 + 2*t^3.688 + t^3.853 + t^4.13 + 2*t^4.294 + 2*t^4.459 + t^4.623 + t^4.9 + t^5.065 + 2*t^5.229 + 2*t^5.394 + t^5.506 + t^5.671 + 3*t^5.835 - t^4.541/y - t^4.541*y | detail |