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 |
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56987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}X_{1}$ | 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]] | [X:[[2]], M:[[-5], [0], [-3], [3], [-2], [5], [-2]], q:[[2], [3]], qb:[[-2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | 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. + 4*t^6.244 + 2*t^6.675 + t^6.919 + 6*t^7.041 + t^7.594 + t^7.716 + 6*t^7.837 + t^7.959 - 5*t^8.081 + 5*t^8.325 + 5*t^8.634 + 4*t^8.756 - 8*t^8.878 - t^4.041/y - (2*t^6.122)/y + t^7.163/y + (6*t^7.959)/y + (2*t^8.081)/y - (3*t^8.203)/y + t^8.756/y + (4*t^8.878)/y - t^4.041*y - 2*t^6.122*y + t^7.163*y + 6*t^7.959*y + 2*t^8.081*y - 3*t^8.203*y + t^8.756*y + 4*t^8.878*y | (2*t^2.081)/g1^2 + 2*g1^3*t^2.878 + t^3. + g1^5*t^3.797 + t^4.041/g1 + (3*t^4.163)/g1^4 + g1^4*t^4.837 + 5*g1*t^4.959 + t^5.081/g1^2 + 3*g1^6*t^5.756 + 3*g1^3*t^5.878 - 3*t^6. + (4*t^6.244)/g1^6 + 2*g1^8*t^6.675 + g1^2*t^6.919 + (6*t^7.041)/g1 + g1^10*t^7.594 + g1^7*t^7.716 + 6*g1^4*t^7.837 + g1*t^7.959 - (5*t^8.081)/g1^2 + (5*t^8.325)/g1^8 + 5*g1^9*t^8.634 + 4*g1^6*t^8.756 - 8*g1^3*t^8.878 - t^4.041/(g1*y) - (2*t^6.122)/(g1^3*y) + t^7.163/(g1^4*y) + (6*g1*t^7.959)/y + (2*t^8.081)/(g1^2*y) - (3*t^8.203)/(g1^5*y) + (g1^6*t^8.756)/y + (4*g1^3*t^8.878)/y - (t^4.041*y)/g1 - (2*t^6.122*y)/g1^3 + (t^7.163*y)/g1^4 + 6*g1*t^7.959*y + (2*t^8.081*y)/g1^2 - (3*t^8.203*y)/g1^5 + g1^6*t^8.756*y + 4*g1^3*t^8.878*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.045/y - t^4.045*y | detail |