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 |
---|---|---|---|---|---|---|---|---|---|
1859 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.5734 | 0.7245 | 0.7915 | [X:[1.4135], M:[0.9173, 0.5865, 1.0827, 1.0, 0.6692], q:[0.8327, 0.75], qb:[0.25, 0.4981], phi:[0.4173]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-4]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }X_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.008 + t^2.244 + t^2.504 + t^2.752 + t^3. + t^3.248 + t^3.496 + t^3.744 + t^4.015 + t^4.24 + t^4.252 + t^4.489 + t^4.511 + 2*t^4.748 + t^4.76 + t^4.996 + 2*t^5.008 + t^5.244 + t^5.256 + t^5.492 + 2*t^5.504 + t^5.74 + 2*t^5.752 + t^5.989 + t^6.023 + 2*t^6.248 + t^6.26 + t^6.485 + 2*t^6.496 - t^6.508 + t^6.519 + t^6.733 + t^6.744 + t^6.756 + t^6.767 + 2*t^6.992 + 2*t^7.015 + 2*t^7.24 + t^7.252 + t^7.263 + 2*t^7.489 + 3*t^7.511 + t^7.737 + t^7.748 + 2*t^7.76 + 2*t^7.985 + t^7.996 + t^8.03 + t^8.233 - t^8.244 + 2*t^8.256 + t^8.267 + t^8.481 + 2*t^8.492 + t^8.504 - t^8.515 + t^8.527 + t^8.729 + t^8.74 - t^8.752 + t^8.763 + t^8.775 + t^8.977 + t^8.989 - t^4.252/y - t^6.26/y - t^6.756/y + t^7.252/y + t^7.511/y + (2*t^7.748)/y + t^7.76/y + t^7.996/y + t^8.008/y + (2*t^8.244)/y + (2*t^8.256)/y - t^8.267/y + t^8.492/y + (2*t^8.504)/y + t^8.74/y + (3*t^8.752)/y - t^8.763/y + t^8.989/y - t^4.252*y - t^6.26*y - t^6.756*y + t^7.252*y + t^7.511*y + 2*t^7.748*y + t^7.76*y + t^7.996*y + t^8.008*y + 2*t^8.244*y + 2*t^8.256*y - t^8.267*y + t^8.492*y + 2*t^8.504*y + t^8.74*y + 3*t^8.752*y - t^8.763*y + t^8.989*y | t^2.008/g1^4 + g1^3*t^2.244 + t^2.504/g1^2 + t^2.752/g1 + t^3. + g1*t^3.248 + g1^2*t^3.496 + g1^3*t^3.744 + t^4.015/g1^8 + g1^5*t^4.24 + t^4.252/g1 + g1^6*t^4.489 + t^4.511/g1^6 + 2*g1*t^4.748 + t^4.76/g1^5 + g1^2*t^4.996 + (2*t^5.008)/g1^4 + g1^3*t^5.244 + t^5.256/g1^3 + g1^4*t^5.492 + (2*t^5.504)/g1^2 + g1^5*t^5.74 + (2*t^5.752)/g1 + g1^6*t^5.989 + t^6.023/g1^12 + 2*g1*t^6.248 + t^6.26/g1^5 + g1^8*t^6.485 + 2*g1^2*t^6.496 - t^6.508/g1^4 + t^6.519/g1^10 + g1^9*t^6.733 + g1^3*t^6.744 + t^6.756/g1^3 + t^6.767/g1^9 + 2*g1^4*t^6.992 + (2*t^7.015)/g1^8 + 2*g1^5*t^7.24 + t^7.252/g1 + t^7.263/g1^7 + 2*g1^6*t^7.489 + (3*t^7.511)/g1^6 + g1^7*t^7.737 + g1*t^7.748 + (2*t^7.76)/g1^5 + 2*g1^8*t^7.985 + g1^2*t^7.996 + t^8.03/g1^16 + g1^9*t^8.233 - g1^3*t^8.244 + (2*t^8.256)/g1^3 + t^8.267/g1^9 + g1^10*t^8.481 + 2*g1^4*t^8.492 + t^8.504/g1^2 - t^8.515/g1^8 + t^8.527/g1^14 + g1^11*t^8.729 + g1^5*t^8.74 - t^8.752/g1 + t^8.763/g1^7 + t^8.775/g1^13 + g1^12*t^8.977 + g1^6*t^8.989 - t^4.252/(g1*y) - t^6.26/(g1^5*y) - t^6.756/(g1^3*y) + t^7.252/(g1*y) + t^7.511/(g1^6*y) + (2*g1*t^7.748)/y + t^7.76/(g1^5*y) + (g1^2*t^7.996)/y + t^8.008/(g1^4*y) + (2*g1^3*t^8.244)/y + (2*t^8.256)/(g1^3*y) - t^8.267/(g1^9*y) + (g1^4*t^8.492)/y + (2*t^8.504)/(g1^2*y) + (g1^5*t^8.74)/y + (3*t^8.752)/(g1*y) - t^8.763/(g1^7*y) + (g1^6*t^8.989)/y - (t^4.252*y)/g1 - (t^6.26*y)/g1^5 - (t^6.756*y)/g1^3 + (t^7.252*y)/g1 + (t^7.511*y)/g1^6 + 2*g1*t^7.748*y + (t^7.76*y)/g1^5 + g1^2*t^7.996*y + (t^8.008*y)/g1^4 + 2*g1^3*t^8.244*y + (2*t^8.256*y)/g1^3 - (t^8.267*y)/g1^9 + g1^4*t^8.492*y + (2*t^8.504*y)/g1^2 + g1^5*t^8.74*y + (3*t^8.752*y)/g1 - (t^8.763*y)/g1^7 + g1^6*t^8.989*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 |
---|---|---|---|---|---|---|---|---|
2875 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5596 | 0.7013 | 0.7979 | [X:[1.3869], M:[0.9226, 0.6131, 1.0774, 1.0, 0.6905, 1.1548], q:[0.8274, 0.75], qb:[0.25, 0.4821], phi:[0.4226]] | t^2.071 + t^2.196 + t^2.768 + t^3. + t^3.232 + 2*t^3.464 + t^3.696 + t^4.143 + t^4.161 + t^4.268 + t^4.393 + t^4.732 + t^4.839 + t^4.964 + t^5.071 + t^5.196 + t^5.429 + 2*t^5.536 + 2*t^5.661 + t^5.768 + t^5.893 - t^6. - t^4.268/y - t^4.268*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 |
---|---|---|---|---|---|---|---|---|---|
479 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 - t^4.253/y - t^4.253*y | detail |