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 |
---|---|---|---|---|---|---|---|---|---|
55296 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.3032], M:[0.742, 1.0, 1.0452, 0.9548, 0.6968, 1.258], q:[0.3032, 0.9548], qb:[0.6968, 0.6516], phi:[0.3484]] | [X:[[2]], M:[[-5], [0], [-3], [3], [-2], [5]], q:[[2], [3]], qb:[[-2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{5}X_{1}$ | -2 | t^2.09 + 2*t^2.864 + t^3. + t^3.774 + t^3.91 + t^4.045 + t^4.181 + t^4.819 + 3*t^4.955 + 3*t^5.729 + 2*t^5.864 - 2*t^6. - t^6.136 + t^6.271 + 2*t^6.639 + 2*t^6.774 + t^6.91 + t^7.045 - t^7.181 + t^7.548 + 2*t^7.684 + 4*t^7.819 - t^7.955 - t^8.09 + t^8.361 + 5*t^8.593 + 3*t^8.729 - 5*t^8.864 - t^4.045/y - t^6.136/y + (3*t^7.955)/y + t^8.09/y - t^8.226/y + t^8.729/y + (3*t^8.864)/y - t^4.045*y - t^6.136*y + 3*t^7.955*y + t^8.09*y - t^8.226*y + t^8.729*y + 3*t^8.864*y | t^2.09/g1^2 + 2*g1^3*t^2.864 + t^3. + g1^5*t^3.774 + g1^2*t^3.91 + t^4.045/g1 + t^4.181/g1^4 + g1^4*t^4.819 + 3*g1*t^4.955 + 3*g1^6*t^5.729 + 2*g1^3*t^5.864 - 2*t^6. - t^6.136/g1^3 + t^6.271/g1^6 + 2*g1^8*t^6.639 + 2*g1^5*t^6.774 + g1^2*t^6.91 + t^7.045/g1 - t^7.181/g1^4 + g1^10*t^7.548 + 2*g1^7*t^7.684 + 4*g1^4*t^7.819 - g1*t^7.955 - t^8.09/g1^2 + t^8.361/g1^8 + 5*g1^9*t^8.593 + 3*g1^6*t^8.729 - 5*g1^3*t^8.864 - t^4.045/(g1*y) - t^6.136/(g1^3*y) + (3*g1*t^7.955)/y + t^8.09/(g1^2*y) - t^8.226/(g1^5*y) + (g1^6*t^8.729)/y + (3*g1^3*t^8.864)/y - (t^4.045*y)/g1 - (t^6.136*y)/g1^3 + 3*g1*t^7.955*y + (t^8.09*y)/g1^2 - (t^8.226*y)/g1^5 + g1^6*t^8.729*y + 3*g1^3*t^8.864*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 |
---|---|---|---|---|---|---|---|---|
56987 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}X_{1}$ | 0.5644 | 0.692 | 0.8157 | [X:[1.3062], M:[0.7344, 1.0, 1.0406, 0.9594, 0.6938, 1.2656, 0.6938], q:[0.3062, 0.9594], qb:[0.6938, 0.6531], phi:[0.3469]] | 2*t^2.081 + 2*t^2.878 + t^3. + t^3.797 + t^4.041 + 3*t^4.163 + t^4.837 + 5*t^4.959 + t^5.081 + 3*t^5.756 + 3*t^5.878 - 3*t^6. - t^4.041/y - t^4.041*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 |
---|---|---|---|---|---|---|---|---|---|
47017 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.3155], M:[0.7113, 1.0, 1.0268, 0.9732, 0.6845], q:[0.3155, 0.9732], qb:[0.6845, 0.6577], phi:[0.3423]] | t^2.054 + t^2.134 + 2*t^2.92 + t^3. + t^3.946 + t^4.027 + t^4.107 + t^4.187 + t^4.268 + t^4.893 + 3*t^4.973 + 2*t^5.054 + t^5.134 + 3*t^5.839 + t^5.92 - 2*t^6. - t^4.027/y - t^4.027*y | detail |