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 |
---|---|---|---|---|---|---|---|---|---|
504 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{4}$ | 0.7046 | 0.8591 | 0.8202 | [M:[0.9439, 0.9439, 1.0561, 0.9439], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]] | [M:[[-2], [-2], [2], [-2]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 4*t^2.832 + 2*t^3.168 + t^3.505 + 3*t^4.248 + 4*t^4.584 + 3*t^4.921 + 6*t^5.664 + 2*t^6.336 + 2*t^6.673 + t^7.009 + 8*t^7.079 + 8*t^7.416 + 8*t^7.752 + 3*t^8.089 + 3*t^8.425 + 12*t^8.495 - 5*t^8.832 - t^4.416/y - (3*t^7.248)/y + (3*t^7.584)/y + (6*t^8.664)/y - t^4.416*y - 3*t^7.248*y + 3*t^7.584*y + 6*t^8.664*y | (4*t^2.832)/g1^2 + 2*g1^2*t^3.168 + g1^6*t^3.505 + (3*t^4.248)/g1^3 + 4*g1*t^4.584 + 3*g1^5*t^4.921 + (6*t^5.664)/g1^4 + 2*g1^4*t^6.336 + 2*g1^8*t^6.673 + g1^12*t^7.009 + (8*t^7.079)/g1^5 + (8*t^7.416)/g1 + 8*g1^3*t^7.752 + 3*g1^7*t^8.089 + 3*g1^11*t^8.425 + (12*t^8.495)/g1^6 - (5*t^8.832)/g1^2 - t^4.416/(g1*y) - (3*t^7.248)/(g1^3*y) + (3*g1*t^7.584)/y + (6*t^8.664)/(g1^4*y) - (t^4.416*y)/g1 - (3*t^7.248*y)/g1^3 + 3*g1*t^7.584*y + (6*t^8.664*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 |
---|---|---|---|---|---|---|---|---|
791 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.7103 | 0.8687 | 0.8177 | [M:[0.9326, 0.9326, 1.0674, 0.9326, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*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 |
---|---|---|---|---|---|---|---|---|---|
322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6999 | 0.852 | 0.8215 | [X:[], M:[0.9551932868590881, 0.9551932868590881, 1.0448067131409118], q:[0.5672100697113678, 0.47759664342954405], qb:[0.47759664342954405, 0.5672100697113678], phi:[0.47759664342954405]] | detail |