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 |
---|---|---|---|---|---|---|---|---|---|
543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.5799 | 0.7477 | 0.7755 | [M:[0.9257, 1.223, 1.0743, 0.777], q:[0.7314, 0.3429], qb:[0.3429, 0.4341], phi:[0.5372]] | [M:[[4], [-12], [-4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1 | t^2.057 + 2*t^2.331 + 3*t^3.223 + t^3.497 + 3*t^3.669 + 2*t^3.943 + t^4.115 + t^4.216 + 2*t^4.389 + 3*t^4.662 + 3*t^5.28 + 6*t^5.554 + t^5.726 + 2*t^5.828 + t^6. + t^6.172 + 2*t^6.274 + 3*t^6.446 + 2*t^6.547 + 3*t^6.72 + 6*t^6.892 + 4*t^6.993 + 3*t^7.166 + 6*t^7.338 + 3*t^7.439 + 4*t^7.611 + t^7.713 + t^7.784 + 9*t^7.885 - 3*t^8.057 + 5*t^8.159 + t^8.23 - 3*t^8.331 + t^8.432 + 3*t^8.503 + 2*t^8.605 + 4*t^8.777 + 3*t^8.878 + t^8.949 - t^4.611/y + (3*t^7.389)/y + t^7.662/y - t^7.834/y + (3*t^8.28)/y + (7*t^8.554)/y + (3*t^8.726)/y + (2*t^8.828)/y - t^4.611*y + 3*t^7.389*y + t^7.662*y - t^7.834*y + 3*t^8.28*y + 7*t^8.554*y + 3*t^8.726*y + 2*t^8.828*y | t^2.057/g1^10 + 2*g1^12*t^2.331 + (3*t^3.223)/g1^4 + g1^18*t^3.497 + (3*t^3.669)/g1^12 + 2*g1^10*t^3.943 + t^4.115/g1^20 + g1^32*t^4.216 + 2*g1^2*t^4.389 + 3*g1^24*t^4.662 + (3*t^5.28)/g1^14 + 6*g1^8*t^5.554 + t^5.726/g1^22 + 2*g1^30*t^5.828 + t^6. + t^6.172/g1^30 + 2*g1^22*t^6.274 + (3*t^6.446)/g1^8 + 2*g1^44*t^6.547 + 3*g1^14*t^6.72 + (6*t^6.892)/g1^16 + 4*g1^36*t^6.993 + 3*g1^6*t^7.166 + (6*t^7.338)/g1^24 + 3*g1^28*t^7.439 + (4*t^7.611)/g1^2 + g1^50*t^7.713 + t^7.784/g1^32 + 9*g1^20*t^7.885 - (3*t^8.057)/g1^10 + 5*g1^42*t^8.159 + t^8.23/g1^40 - 3*g1^12*t^8.331 + g1^64*t^8.432 + (3*t^8.503)/g1^18 + 2*g1^34*t^8.605 + 4*g1^4*t^8.777 + 3*g1^56*t^8.878 + t^8.949/g1^26 - t^4.611/(g1^2*y) + (3*g1^2*t^7.389)/y + (g1^24*t^7.662)/y - t^7.834/(g1^6*y) + (3*t^8.28)/(g1^14*y) + (7*g1^8*t^8.554)/y + (3*t^8.726)/(g1^22*y) + (2*g1^30*t^8.828)/y - (t^4.611*y)/g1^2 + 3*g1^2*t^7.389*y + g1^24*t^7.662*y - (t^7.834*y)/g1^6 + (3*t^8.28*y)/g1^14 + 7*g1^8*t^8.554*y + (3*t^8.726*y)/g1^22 + 2*g1^30*t^8.828*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 |
---|---|---|---|---|---|---|---|---|
853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6006 | 0.7881 | 0.7621 | [M:[0.9263, 1.2212, 1.0737, 0.7788, 0.6844], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]] | 2*t^2.053 + 2*t^2.336 + 3*t^3.221 + t^3.504 + 3*t^3.664 + t^3.947 + 3*t^4.106 + t^4.23 + 4*t^4.389 + 3*t^4.673 + 6*t^5.274 + 7*t^5.558 + 4*t^5.717 + 2*t^5.841 + t^6. - t^4.611/y - t^4.611*y | detail | |
1905 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.5952 | 0.7742 | 0.7687 | [M:[0.9324, 1.2029, 1.0676, 0.7971, 0.8043], q:[0.7331, 0.3345], qb:[0.3345, 0.4626], phi:[0.5338]] | t^2.007 + 2*t^2.391 + t^2.413 + 3*t^3.203 + 3*t^3.609 + 2*t^3.993 + t^4.014 + t^4.377 + 2*t^4.399 + t^4.42 + 3*t^4.783 + 2*t^4.804 + t^4.826 + 3*t^5.21 + 5*t^5.594 + 4*t^5.616 + t^6. - t^4.601/y - t^4.601*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 |
---|---|---|---|---|---|---|---|---|---|
344 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6064 | 0.7787 | 0.7788 | [M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^4.522/y - t^4.522*y | detail |