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 |
---|---|---|---|---|---|---|---|---|---|
2531 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6374 | 0.7922 | 0.8046 | [M:[0.9961, 0.8962, 1.1038, 0.7885, 1.2115, 0.7885, 1.1038], q:[0.5558, 0.4481], qb:[0.3404, 0.7635], phi:[0.4731]] | [M:[[-38], [14], [-14], [-10], [10], [-10], [-14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -3 | 2*t^2.365 + t^2.838 + t^2.988 + 2*t^3.312 + t^3.461 + t^3.785 + t^3.958 + 2*t^4.108 + t^4.431 + 3*t^4.731 + t^4.754 + 2*t^5.204 + t^5.354 + 3*t^5.677 + 3*t^5.827 + t^5.977 - 3*t^6. + 3*t^6.15 + 3*t^6.3 - t^6.323 + t^6.45 + 2*t^6.473 + 2*t^6.623 - t^6.646 + 2*t^6.773 + t^6.796 + t^6.923 + t^6.946 + 5*t^7.096 + t^7.119 + t^7.246 + 2*t^7.419 + 5*t^7.569 + t^7.719 + t^7.892 + 4*t^8.042 + t^8.065 + 4*t^8.192 + 2*t^8.215 + t^8.342 - 6*t^8.365 + 4*t^8.515 + t^8.539 + 4*t^8.665 - 3*t^8.688 + t^8.712 + 2*t^8.815 - t^8.838 + 2*t^8.862 + t^8.965 - t^4.419/y - t^6.785/y + t^7.108/y - t^7.258/y - t^7.408/y + t^7.431/y + t^7.581/y + t^8.054/y + (2*t^8.204)/y + (2*t^8.354)/y + (4*t^8.677)/y + (3*t^8.827)/y - t^4.419*y - t^6.785*y + t^7.108*y - t^7.258*y - t^7.408*y + t^7.431*y + t^7.581*y + t^8.054*y + 2*t^8.204*y + 2*t^8.354*y + 4*t^8.677*y + 3*t^8.827*y | (2*t^2.365)/g1^10 + t^2.838/g1^12 + t^2.988/g1^38 + (2*t^3.312)/g1^14 + t^3.461/g1^40 + t^3.785/g1^16 + g1^34*t^3.958 + 2*g1^8*t^4.108 + g1^32*t^4.431 + (3*t^4.731)/g1^20 + g1^56*t^4.754 + (2*t^5.204)/g1^22 + t^5.354/g1^48 + (3*t^5.677)/g1^24 + (3*t^5.827)/g1^50 + t^5.977/g1^76 - 3*t^6. + (3*t^6.15)/g1^26 + (3*t^6.3)/g1^52 - g1^24*t^6.323 + t^6.45/g1^78 + (2*t^6.473)/g1^2 + (2*t^6.623)/g1^28 - g1^48*t^6.646 + (2*t^6.773)/g1^54 + g1^22*t^6.796 + t^6.923/g1^80 + t^6.946/g1^4 + (5*t^7.096)/g1^30 + g1^46*t^7.119 + t^7.246/g1^56 + (2*t^7.419)/g1^6 + (5*t^7.569)/g1^32 + t^7.719/g1^58 + t^7.892/g1^8 + (4*t^8.042)/g1^34 + g1^42*t^8.065 + (4*t^8.192)/g1^60 + 2*g1^16*t^8.215 + t^8.342/g1^86 - (6*t^8.365)/g1^10 + (4*t^8.515)/g1^36 + g1^40*t^8.539 + (4*t^8.665)/g1^62 - 3*g1^14*t^8.688 + g1^90*t^8.712 + (2*t^8.815)/g1^88 - t^8.838/g1^12 + 2*g1^64*t^8.862 + t^8.965/g1^114 - t^4.419/(g1^6*y) - t^6.785/(g1^16*y) + (g1^8*t^7.108)/y - t^7.258/(g1^18*y) - t^7.408/(g1^44*y) + (g1^32*t^7.431)/y + (g1^6*t^7.581)/y + (g1^4*t^8.054)/y + (2*t^8.204)/(g1^22*y) + (2*t^8.354)/(g1^48*y) + (4*t^8.677)/(g1^24*y) + (3*t^8.827)/(g1^50*y) - (t^4.419*y)/g1^6 - (t^6.785*y)/g1^16 + g1^8*t^7.108*y - (t^7.258*y)/g1^18 - (t^7.408*y)/g1^44 + g1^32*t^7.431*y + g1^6*t^7.581*y + g1^4*t^8.054*y + (2*t^8.204*y)/g1^22 + (2*t^8.354*y)/g1^48 + (4*t^8.677*y)/g1^24 + (3*t^8.827*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|
4586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.657 | 0.8279 | 0.7936 | [M:[1.0053, 0.8928, 1.1072, 0.7909, 1.2091, 0.7909, 1.1072, 0.7346], q:[0.5483, 0.4464], qb:[0.3445, 0.7627], phi:[0.4745]] | t^2.204 + 2*t^2.373 + t^2.847 + t^3.016 + 2*t^3.322 + t^3.49 + t^3.933 + 2*t^4.102 + 2*t^4.408 + 2*t^4.576 + t^4.714 + 3*t^4.745 + t^5.051 + 3*t^5.22 + t^5.388 + 2*t^5.525 + 4*t^5.694 + 3*t^5.863 - 3*t^6. - t^4.424/y - t^4.424*y | detail | |
4585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6524 | 0.8174 | 0.7982 | [M:[1.0369, 0.8812, 1.1188, 0.7992, 1.2008, 0.7992, 1.1188, 0.8033], q:[0.5226, 0.4406], qb:[0.3586, 0.7602], phi:[0.4795]] | 2*t^2.398 + t^2.41 + t^2.877 + t^3.111 + 2*t^3.357 + t^3.836 + t^3.848 + 2*t^4.082 + t^4.328 + t^4.574 + 3*t^4.795 + 2*t^4.807 + t^4.82 + 2*t^5.275 + t^5.287 + t^5.508 + t^5.52 + 3*t^5.754 + 2*t^5.766 + t^5.988 - 3*t^6. - t^4.439/y - t^4.439*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 |
---|---|---|---|---|---|---|---|---|---|
1452 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7104 | 0.8752 | 0.8117 | [M:[0.8402, 1.0648, 0.9352, 0.9697, 1.0303, 0.9697, 0.9352], q:[0.6274, 0.5324], qb:[0.4374, 0.4979], phi:[0.4762]] | t^2.521 + 2*t^2.806 + t^2.857 + 2*t^2.909 + t^3.376 + t^4.053 + t^4.234 + t^4.338 + t^4.416 + t^4.52 + 2*t^4.623 + t^4.805 + t^4.908 + t^5.041 + t^5.193 + 2*t^5.326 + t^5.378 + t^5.43 + 2*t^5.611 + 2*t^5.663 + 3*t^5.715 + 2*t^5.767 + 2*t^5.818 - 4*t^6. - t^4.429/y - t^4.429*y | detail |