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 |
---|---|---|---|---|---|---|---|---|---|
59435 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3477 | 1.5611 | 0.8633 | [X:[1.3536], M:[0.7679], q:[0.3536, 0.5857], qb:[0.6464, 0.2928], phi:[0.3536]] | [X:[[1]], M:[[5]], q:[[1], [-4]], qb:[[-1], [-2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.12 + t^2.3 + t^2.64 + 2*t^3. + t^3.18 + t^3.7 + 3*t^4.06 + t^4.24 + t^4.43 + t^4.61 + 4*t^4.76 + t^4.94 + 3*t^5.12 + t^5.27 + 2*t^5.3 + t^5.49 + 3*t^5.64 + 6*t^5.82 + 5*t^6.18 + t^6.33 + 5*t^6.36 + t^6.55 + 5*t^6.7 + t^6.73 + 5*t^6.88 + t^6.91 + 4*t^7.06 + 6*t^7.24 + 5*t^7.39 + 2*t^7.43 + 2*t^7.61 + 10*t^7.76 + t^7.79 + t^7.91 + 7*t^7.94 + 7*t^8.12 + 3*t^8.27 + 3*t^8.3 + 10*t^8.45 + 6*t^8.49 - 4*t^8.64 + 5*t^8.67 + 18*t^8.82 + t^8.85 + t^8.97 - t^4.06/y - t^5.12/y - t^6.18/y - t^6.36/y - t^6.7/y - t^7.06/y - (2*t^7.24)/y + (2*t^7.94)/y - t^8.12/y + t^8.3/y + (2*t^8.64)/y - t^8.67/y - t^4.06*y - t^5.12*y - t^6.18*y - t^6.36*y - t^6.7*y - t^7.06*y - 2*t^7.24*y + 2*t^7.94*y - t^8.12*y + t^8.3*y + 2*t^8.64*y - t^8.67*y | g1^2*t^2.12 + g1^5*t^2.3 + t^2.64/g1^6 + 2*t^3. + g1^3*t^3.18 + t^3.7/g1^5 + 3*g1*t^4.06 + g1^4*t^4.24 + g1^7*t^4.43 + g1^10*t^4.61 + (4*t^4.76)/g1^4 + t^4.94/g1 + 3*g1^2*t^5.12 + t^5.27/g1^12 + 2*g1^5*t^5.3 + g1^8*t^5.49 + (3*t^5.64)/g1^6 + (6*t^5.82)/g1^3 + 5*g1^3*t^6.18 + t^6.33/g1^11 + 5*g1^6*t^6.36 + g1^9*t^6.55 + (5*t^6.7)/g1^5 + g1^12*t^6.73 + (5*t^6.88)/g1^2 + g1^15*t^6.91 + 4*g1*t^7.06 + 6*g1^4*t^7.24 + (5*t^7.39)/g1^10 + 2*g1^7*t^7.43 + 2*g1^10*t^7.61 + (10*t^7.76)/g1^4 + g1^13*t^7.79 + t^7.91/g1^18 + (7*t^7.94)/g1 + 7*g1^2*t^8.12 + (3*t^8.27)/g1^12 + 3*g1^5*t^8.3 + (10*t^8.45)/g1^9 + 6*g1^8*t^8.49 - (4*t^8.64)/g1^6 + 5*g1^11*t^8.67 + (18*t^8.82)/g1^3 + g1^14*t^8.85 + t^8.97/g1^17 - (g1*t^4.06)/y - (g1^2*t^5.12)/y - (g1^3*t^6.18)/y - (g1^6*t^6.36)/y - t^6.7/(g1^5*y) - (g1*t^7.06)/y - (2*g1^4*t^7.24)/y + (2*t^7.94)/(g1*y) - (g1^2*t^8.12)/y + (g1^5*t^8.3)/y + (2*t^8.64)/(g1^6*y) - (g1^11*t^8.67)/y - g1*t^4.06*y - g1^2*t^5.12*y - g1^3*t^6.18*y - g1^6*t^6.36*y - (t^6.7*y)/g1^5 - g1*t^7.06*y - 2*g1^4*t^7.24*y + (2*t^7.94*y)/g1 - g1^2*t^8.12*y + g1^5*t^8.3*y + (2*t^8.64*y)/g1^6 - g1^11*t^8.67*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 |
---|---|---|---|---|---|---|---|---|
61223 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.3273 | 1.5226 | 0.8717 | [X:[1.3542], M:[0.771, 1.2916], q:[0.3542, 0.5832], qb:[0.6458, 0.2916], phi:[0.3542]] | t^2.31 + t^2.62 + 2*t^3. + t^3.19 + t^3.69 + t^3.87 + 3*t^4.06 + t^4.63 + 3*t^4.75 + t^4.94 + t^5.13 + t^5.25 + t^5.31 + t^5.5 + 3*t^5.62 + 5*t^5.81 - t^4.06/y - t^5.13/y - t^4.06*y - t^5.13*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 |
---|---|---|---|---|---|---|---|---|---|
57470 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.348 | 1.5616 | 0.8633 | [X:[1.354], M:[0.7701], q:[0.3455, 0.5754], qb:[0.6545, 0.3005], phi:[0.354]] | t^2.12 + t^2.31 + t^2.63 + 2*t^3. + t^3.19 + t^3.69 + 3*t^4.06 + t^4.25 + t^4.43 + t^4.62 + 3*t^4.75 + t^4.83 + t^4.86 + 3*t^5.12 + t^5.26 + 2*t^5.31 + t^5.5 + t^5.55 + 2*t^5.63 + 3*t^5.81 + 3*t^5.89 + t^5.92 - t^6. - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y | detail |