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 |
---|---|---|---|---|---|---|---|---|---|
2528 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.006, 0.9819, 1.0181, 0.9698, 1.0302, 1.006, 0.9698], q:[0.503, 0.4909], qb:[0.4789, 0.5392], phi:[0.497]] | [M:[[2], [-6], [6], [-10], [10], [2], [-10]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$ | ${}$ | -3 | 2*t^2.909 + t^2.946 + 2*t^3.018 + t^3.054 + t^3.127 + t^4.364 + t^4.4 + 2*t^4.437 + t^4.473 + t^4.509 + t^4.545 + t^4.581 + t^4.618 + t^4.726 + 2*t^5.819 + t^5.855 + 3*t^5.928 + 2*t^5.964 - 3*t^6. + 2*t^6.036 + 2*t^6.072 + t^6.145 + t^6.254 + 2*t^7.274 + 2*t^7.31 + 3*t^7.346 + 3*t^7.382 + 3*t^7.419 + 3*t^7.455 + 2*t^7.491 + t^7.527 + 2*t^7.563 + t^7.6 + 3*t^7.636 + t^7.672 + 2*t^7.744 + t^7.781 + t^7.853 + 3*t^8.728 + 2*t^8.765 + 2*t^8.801 + 4*t^8.837 + 3*t^8.873 - 4*t^8.909 + t^8.946 + 3*t^8.982 - t^4.491/y - t^7.4/y + t^7.473/y - t^7.509/y + t^7.581/y + t^8.819/y + (2*t^8.855)/y + (4*t^8.928)/y + (4*t^8.964)/y - t^4.491*y - t^7.4*y + t^7.473*y - t^7.509*y + t^7.581*y + t^8.819*y + 2*t^8.855*y + 4*t^8.928*y + 4*t^8.964*y | (2*t^2.909)/g1^10 + t^2.946/g1^6 + 2*g1^2*t^3.018 + g1^6*t^3.054 + g1^14*t^3.127 + t^4.364/g1^15 + t^4.4/g1^11 + (2*t^4.437)/g1^7 + t^4.473/g1^3 + g1*t^4.509 + g1^5*t^4.545 + g1^9*t^4.581 + g1^13*t^4.618 + g1^25*t^4.726 + (2*t^5.819)/g1^20 + t^5.855/g1^16 + (3*t^5.928)/g1^8 + (2*t^5.964)/g1^4 - 3*t^6. + 2*g1^4*t^6.036 + 2*g1^8*t^6.072 + g1^16*t^6.145 + g1^28*t^6.254 + (2*t^7.274)/g1^25 + (2*t^7.31)/g1^21 + (3*t^7.346)/g1^17 + (3*t^7.382)/g1^13 + (3*t^7.419)/g1^9 + (3*t^7.455)/g1^5 + (2*t^7.491)/g1 + g1^3*t^7.527 + 2*g1^7*t^7.563 + g1^11*t^7.6 + 3*g1^15*t^7.636 + g1^19*t^7.672 + 2*g1^27*t^7.744 + g1^31*t^7.781 + g1^39*t^7.853 + (3*t^8.728)/g1^30 + (2*t^8.765)/g1^26 + (2*t^8.801)/g1^22 + (4*t^8.837)/g1^18 + (3*t^8.873)/g1^14 - (4*t^8.909)/g1^10 + t^8.946/g1^6 + (3*t^8.982)/g1^2 - t^4.491/(g1*y) - t^7.4/(g1^11*y) + t^7.473/(g1^3*y) - (g1*t^7.509)/y + (g1^9*t^7.581)/y + t^8.819/(g1^20*y) + (2*t^8.855)/(g1^16*y) + (4*t^8.928)/(g1^8*y) + (4*t^8.964)/(g1^4*y) - (t^4.491*y)/g1 - (t^7.4*y)/g1^11 + (t^7.473*y)/g1^3 - g1*t^7.509*y + g1^9*t^7.581*y + (t^8.819*y)/g1^20 + (2*t^8.855*y)/g1^16 + (4*t^8.928*y)/g1^8 + (4*t^8.964*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
4582 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6992 | 0.8614 | 0.8117 | [M:[1.0127, 0.9619, 1.0381, 0.9365, 1.0635, 1.0127, 0.9365, 0.9111], q:[0.5063, 0.481], qb:[0.4556, 0.5825], phi:[0.4937]] | t^2.733 + 2*t^2.81 + t^2.886 + 2*t^3.038 + t^3.114 + t^4.214 + t^4.291 + 2*t^4.367 + t^4.443 + t^4.519 + t^4.595 + t^4.671 + t^4.748 + t^4.976 + t^5.467 + 2*t^5.543 + 3*t^5.619 + t^5.695 + 2*t^5.771 + 4*t^5.848 + 2*t^5.924 - 3*t^6. - t^4.481/y - t^4.481*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 |
---|---|---|---|---|---|---|---|---|---|
1442 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6915 | 0.8474 | 0.816 | [M:[1.0011, 0.9967, 1.0033, 0.9945, 1.0055, 1.0011], q:[0.5005, 0.4984], qb:[0.4962, 0.5071], phi:[0.4995]] | t^2.984 + t^2.99 + 2*t^3.003 + t^3.01 + t^3.016 + t^3.023 + t^4.475 + t^4.482 + 2*t^4.489 + t^4.495 + t^4.502 + t^4.508 + t^4.515 + t^4.521 + t^4.541 + t^5.987 + t^5.993 - 2*t^6. - t^4.498/y - t^4.498*y | detail |