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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[], M:[[-2], [-2], [2]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | 3*t^2.87 + 3*t^3.13 + t^3.4 + 3*t^4.3 + 4*t^4.57 + 3*t^4.84 + 2*t^5.73 + t^6. + 4*t^6.27 + 3*t^6.54 + t^6.81 + 5*t^7.16 + 7*t^7.43 + 9*t^7.7 + 6*t^7.97 + 3*t^8.24 + 6*t^8.6 - 3*t^8.87 - t^4.43/y - (2*t^7.3)/y + (2*t^7.57)/y + (3*t^8.73)/y - t^4.43*y - 2*t^7.3*y + 2*t^7.57*y + 3*t^8.73*y | (3*t^2.87)/g1^2 + 3*g1^2*t^3.13 + g1^6*t^3.4 + (3*t^4.3)/g1^3 + 4*g1*t^4.57 + 3*g1^5*t^4.84 + (2*t^5.73)/g1^4 + t^6. + 4*g1^4*t^6.27 + 3*g1^8*t^6.54 + g1^12*t^6.81 + (5*t^7.16)/g1^5 + (7*t^7.43)/g1 + 9*g1^3*t^7.7 + 6*g1^7*t^7.97 + 3*g1^11*t^8.24 + (6*t^8.6)/g1^6 - (3*t^8.87)/g1^2 - t^4.43/(g1*y) - (2*t^7.3)/(g1^3*y) + (2*g1*t^7.57)/y + (3*t^8.73)/(g1^4*y) - (t^4.43*y)/g1 - (2*t^7.3*y)/g1^3 + 2*g1*t^7.57*y + (3*t^8.73*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 |
---|---|---|---|---|---|---|---|---|
504 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{4}$ | 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]] | 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 - t^4.416/y - t^4.416*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 |
---|---|---|---|---|---|---|---|---|---|
205 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.7556 | 0.9204 | 0.821 | [M:[0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - t^4.191/y - t^4.191*y | detail |