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 |
---|---|---|---|---|---|---|---|---|---|
48292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.1646, 1.013, 0.8354, 0.7766, 0.7172, 0.8354], q:[0.3883, 0.4471], qb:[0.5987, 0.7763], phi:[0.4474]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -5], [-1, 7]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. + t^6.002 + t^6.078 + t^6.176 + t^6.178 + t^6.275 + t^6.277 + t^6.356 + 2*t^6.455 + 2*t^6.531 - t^6.533 + t^6.631 + 2*t^6.633 + t^6.709 + 5*t^6.809 + t^6.811 - t^6.887 + t^6.986 + 2*t^6.988 + t^6.989 + t^7.064 + t^7.086 + t^7.162 + 3*t^7.164 + 2*t^7.166 + t^7.262 + t^7.264 - t^7.34 + 4*t^7.342 + 2*t^7.344 + 3*t^7.441 + 3*t^7.519 + 3*t^7.52 + t^7.617 + t^7.619 + 4*t^7.697 + t^7.699 + t^7.795 + 2*t^7.875 + t^7.973 + t^7.975 + t^8.05 + t^8.051 + t^8.053 + t^8.072 + 3*t^8.15 - 3*t^8.152 + 2*t^8.23 + 2*t^8.328 - 4*t^8.33 + t^8.332 + 2*t^8.408 + t^8.427 + t^8.428 + t^8.504 - 6*t^8.506 + t^8.508 + t^8.584 + t^8.605 + 3*t^8.606 + t^8.683 - 3*t^8.684 + t^8.686 + t^8.762 + 2*t^8.781 + 2*t^8.785 + t^8.861 + 2*t^8.959 + 2*t^8.961 + 2*t^8.963 - t^4.342/y - t^6.494/y - t^6.672/y - t^6.848/y - t^7.027/y + t^7.303/y - t^7.381/y + t^7.481/y + (3*t^7.658)/y + (4*t^7.836)/y + (2*t^8.012)/y + t^8.014/y + (4*t^8.191)/y + t^8.289/y + t^8.369/y + t^8.467/y + (2*t^8.545)/y + (2*t^8.644)/y - t^8.645/y + t^8.723/y + t^8.822/y - t^4.342*y - t^6.494*y - t^6.672*y - t^6.848*y - t^7.027*y + t^7.303*y - t^7.381*y + t^7.481*y + 3*t^7.658*y + 4*t^7.836*y + 2*t^8.012*y + t^8.014*y + 4*t^8.191*y + t^8.289*y + t^8.369*y + t^8.467*y + 2*t^8.545*y + 2*t^8.644*y - t^8.645*y + t^8.723*y + t^8.822*y | (g1*t^2.152)/g2^5 + (g1^2*t^2.33)/g2^16 + (2*g2^7*t^2.506)/g1 + t^2.684/g2^4 + (g2^8*t^3.039)/g1^2 + (g2^15*t^3.137)/g1 + (g1^2*t^3.672)/g2^18 + (g2^28*t^4.025)/g1^4 + g1*g2*t^4.125 + (2*g1^2*t^4.303)/g2^10 + (g2^13*t^4.48)/g1 + (g1^3*t^4.481)/g2^21 + 2*g2^2*t^4.658 + (g1^4*t^4.66)/g2^32 + (3*g1*t^4.836)/g2^9 + (g1^2*t^4.934)/g2^2 + (3*g2^14*t^5.012)/g1^2 + (g1^2*t^5.014)/g2^20 + (3*g2^3*t^5.191)/g1 + g2^10*t^5.289 + t^5.369/g2^8 + (g1*t^5.467)/g2 + (g2^15*t^5.545)/g1^3 + (2*g2^22*t^5.644)/g1^2 + (g2^4*t^5.723)/g1^2 + (g2^11*t^5.822)/g1 - 3*t^6. + (g1^4*t^6.002)/g2^34 + (g2^16*t^6.078)/g1^4 + (g2^23*t^6.176)/g1^3 + (g1*t^6.178)/g2^11 + (g2^30*t^6.275)/g1^2 + (g1^2*t^6.277)/g2^4 + (g1^2*t^6.356)/g2^22 + (2*g1^3*t^6.455)/g2^15 + (2*g2^35*t^6.531)/g1^5 - (g2*t^6.533)/g1 + g2^8*t^6.631 + (2*g1^4*t^6.633)/g2^26 + (g2^24*t^6.709)/g1^4 + (5*g1*t^6.809)/g2^3 + (g1^5*t^6.811)/g2^37 - (g2^13*t^6.887)/g1^3 + (g2^20*t^6.986)/g1^2 + (2*g1^2*t^6.988)/g2^14 + (g1^6*t^6.989)/g2^48 + (g2^36*t^7.064)/g1^6 + (g1^3*t^7.086)/g2^7 + (g2^43*t^7.162)/g1^5 + (3*g2^9*t^7.164)/g1 + (2*g1^3*t^7.166)/g2^25 + g2^16*t^7.262 + (g1^4*t^7.264)/g2^18 - (g2^32*t^7.34)/g1^4 + (4*t^7.342)/g2^2 + (2*g1^4*t^7.344)/g2^36 + 3*g1*g2^5*t^7.441 + (3*g2^21*t^7.519)/g1^3 + (3*g1*t^7.52)/g2^13 + (g2^28*t^7.617)/g1^2 + (g1^2*t^7.619)/g2^6 + (4*g2^10*t^7.697)/g1^2 + (g1^2*t^7.699)/g2^24 + (g2^17*t^7.795)/g1 + (2*t^7.875)/(g1*g2) + g2^6*t^7.973 + (g1^4*t^7.975)/g2^28 + (g2^56*t^8.05)/g1^8 + (g2^22*t^8.051)/g1^4 + t^8.053/g2^12 + g1*g2^13*t^8.072 + (3*g2^29*t^8.15)/g1^3 - (3*g1*t^8.152)/g2^5 + (2*g2^11*t^8.23)/g1^3 + (2*g2^18*t^8.328)/g1^2 - (4*g1^2*t^8.33)/g2^16 + (g1^6*t^8.332)/g2^50 + (2*t^8.408)/g1^2 + (g2^25*t^8.427)/g1 + (g1^3*t^8.428)/g2^9 + (g2^41*t^8.504)/g1^5 - (6*g2^7*t^8.506)/g1 + (g1^3*t^8.508)/g2^27 + (g2^23*t^8.584)/g1^5 + g2^14*t^8.605 + (3*g1^4*t^8.606)/g2^20 + (g2^30*t^8.683)/g1^4 - (3*t^8.684)/g2^4 + (g1^4*t^8.686)/g2^38 + (g2^12*t^8.762)/g1^4 + (2*g2^37*t^8.781)/g1^3 + (2*g1^5*t^8.785)/g2^31 + (g2^19*t^8.861)/g1^3 + (2*g2^26*t^8.959)/g1^2 + (2*g1^2*t^8.961)/g2^8 + (2*g1^6*t^8.963)/g2^42 - t^4.342/(g2^2*y) - (g1*t^6.494)/(g2^7*y) - (g1^2*t^6.672)/(g2^18*y) - (g2^5*t^6.848)/(g1*y) - t^7.027/(g2^6*y) + (g1^2*t^7.303)/(g2^10*y) - (g2^6*t^7.381)/(g1^2*y) + (g1^3*t^7.481)/(g2^21*y) + (3*g2^2*t^7.658)/y + (4*g1*t^7.836)/(g2^9*y) + (2*g2^14*t^8.012)/(g1^2*y) + (g1^2*t^8.014)/(g2^20*y) + (4*g2^3*t^8.191)/(g1*y) + (g2^10*t^8.289)/y + t^8.369/(g2^8*y) + (g1*t^8.467)/(g2*y) + (2*g2^15*t^8.545)/(g1^3*y) + (2*g2^22*t^8.644)/(g1^2*y) - (g1^2*t^8.645)/(g2^12*y) + (g2^4*t^8.723)/(g1^2*y) + (g2^11*t^8.822)/(g1*y) - (t^4.342*y)/g2^2 - (g1*t^6.494*y)/g2^7 - (g1^2*t^6.672*y)/g2^18 - (g2^5*t^6.848*y)/g1 - (t^7.027*y)/g2^6 + (g1^2*t^7.303*y)/g2^10 - (g2^6*t^7.381*y)/g1^2 + (g1^3*t^7.481*y)/g2^21 + 3*g2^2*t^7.658*y + (4*g1*t^7.836*y)/g2^9 + (2*g2^14*t^8.012*y)/g1^2 + (g1^2*t^8.014*y)/g2^20 + (4*g2^3*t^8.191*y)/g1 + g2^10*t^8.289*y + (t^8.369*y)/g2^8 + (g1*t^8.467*y)/g2 + (2*g2^15*t^8.545*y)/g1^3 + (2*g2^22*t^8.644*y)/g1^2 - (g1^2*t^8.645*y)/g2^12 + (g2^4*t^8.723*y)/g1^2 + (g2^11*t^8.822*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
54920 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}X_{1}$ | 0.6635 | 0.8258 | 0.8035 | [X:[1.3333], M:[1.1317, 1.1317, 0.8683, 0.7285, 0.6667, 0.8683], q:[0.3643, 0.504], qb:[0.504, 0.7675], phi:[0.4651]] | t^2.186 + 2*t^2.605 + t^2.79 + t^3.024 + t^3.395 + t^3.581 + t^3.814 + 2*t^4. + t^4.371 + 3*t^4.419 + 2*t^4.79 + t^4.976 + 4*t^5.21 + 2*t^5.395 + 2*t^5.629 + t^5.766 + t^5.814 - 2*t^6. - t^4.395/y - t^4.395*y | detail | |
52187 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6895 | 0.8678 | 0.7945 | [M:[1.1471, 0.9853, 0.8529, 0.7206, 0.7206, 0.8529], q:[0.3603, 0.4927], qb:[0.6544, 0.7868], phi:[0.4265]] | 2*t^2.162 + 3*t^2.559 + t^2.956 + 2*t^3.441 + t^4.235 + 5*t^4.323 + 7*t^4.721 + 7*t^5.118 + t^5.206 + 2*t^5.515 + 3*t^5.603 + t^5.912 + 2*t^6. - t^4.279/y - t^4.279*y | detail | |
56003 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6783 | 0.8471 | 0.8007 | [M:[1.1741, 1.0044, 0.8259, 0.799, 0.7232, 0.8259, 1.201], q:[0.3995, 0.4264], qb:[0.5961, 0.7746], phi:[0.4509]] | t^2.17 + 2*t^2.478 + t^2.705 + t^3.013 + t^3.067 + t^3.603 + t^3.75 + t^3.911 + t^4.112 + 2*t^4.339 + t^4.42 + 2*t^4.647 + t^4.875 + t^4.929 + 3*t^4.956 + 3*t^5.183 + t^5.237 + t^5.491 + 2*t^5.545 + t^5.718 + 2*t^5.773 - 3*t^6. - t^4.353/y - t^4.353*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 |
---|---|---|---|---|---|---|---|---|---|
46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |