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 |
---|---|---|---|---|---|---|---|---|---|
57811 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9111 | 0.9805 | 0.9292 | [X:[1.6161, 1.4242], M:[0.7677], q:[0.5016, 1.2694], qb:[0.7306, 0.3468], phi:[0.1919]] | [X:[[6], [9]], M:[[-12]], q:[[13], [1]], qb:[[-1], [5]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.3 + t^2.55 + t^3.12 + t^4.27 + t^4.61 + 3*t^4.85 + t^5.09 + t^5.42 + t^5.67 - 2*t^6. + 2*t^6.24 + t^6.82 + t^6.91 + 2*t^7.15 + 4*t^7.39 + t^7.64 + t^7.73 + 2*t^7.97 + t^8.21 - 2*t^8.3 - t^8.55 + 2*t^8.79 - t^8.88 + t^7.73/y^2 - t^8.88/y^2 - t^3.58/y - t^4.15/y - t^5.88/y - t^6.12/y - t^6.45/y - t^6.7/y + t^7.85/y - t^8.18/y - t^8.42/y - t^8.76/y - t^3.58*y - t^4.15*y - t^5.88*y - t^6.12*y - t^6.45*y - t^6.7*y + t^7.85*y - t^8.18*y - t^8.42*y - t^8.76*y + t^7.73*y^2 - t^8.88*y^2 | t^2.3/g1^12 + g1^18*t^2.55 + g1^15*t^3.12 + g1^9*t^4.27 + t^4.61/g1^24 + 3*g1^6*t^4.85 + g1^36*t^5.09 + g1^3*t^5.42 + g1^33*t^5.67 - 2*t^6. + 2*g1^30*t^6.24 + g1^27*t^6.82 + t^6.91/g1^36 + (2*t^7.15)/g1^6 + 4*g1^24*t^7.39 + g1^54*t^7.64 + t^7.73/g1^9 + 2*g1^21*t^7.97 + g1^51*t^8.21 - (2*t^8.3)/g1^12 - g1^18*t^8.55 + 2*g1^48*t^8.79 - t^8.88/g1^15 + t^7.73/(g1^9*y^2) - t^8.88/(g1^15*y^2) - t^3.58/(g1^3*y) - t^4.15/(g1^6*y) - t^5.88/(g1^15*y) - (g1^15*t^6.12)/y - t^6.45/(g1^18*y) - (g1^12*t^6.7)/y + (g1^6*t^7.85)/y - t^8.18/(g1^27*y) - (g1^3*t^8.42)/y - t^8.76/(g1^30*y) - (t^3.58*y)/g1^3 - (t^4.15*y)/g1^6 - (t^5.88*y)/g1^15 - g1^15*t^6.12*y - (t^6.45*y)/g1^18 - g1^12*t^6.7*y + g1^6*t^7.85*y - (t^8.18*y)/g1^27 - g1^3*t^8.42*y - (t^8.76*y)/g1^30 + (t^7.73*y^2)/g1^9 - (t^8.88*y^2)/g1^15 |
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 |
---|---|---|---|---|---|---|---|---|---|
57287 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3045 | 1.4437 | 0.9036 | [X:[1.4433], M:[1.1133], q:[0.4056, 0.6839], qb:[0.4811, 0.7594], phi:[0.2783]] | t^2.505 + t^3.34 + 3*t^3.495 + 5*t^4.33 + t^5.01 + t^5.165 + t^5.32 + t^5.845 - t^6. - t^3.835/y - t^4.67/y - t^3.835*y - t^4.67*y | detail |