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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2331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.632 | 0.7786 | 0.8118 | [X:[1.6091], M:[0.7817, 1.1726, 0.3909, 0.8274, 0.736, 0.8274, 1.264], q:[0.4366, 0.7817], qb:[0.3909, 0.8274], phi:[0.3909]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-7], [3], [7]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 2*t^2.345 + 2*t^2.482 + t^3.518 + 2*t^3.655 + 2*t^3.792 + 3*t^4.69 + 5*t^4.827 + 3*t^4.965 + t^6. + 6*t^6.137 + 4*t^6.274 + 3*t^7.035 + 4*t^7.173 + 6*t^7.31 + 6*t^7.447 + 3*t^7.584 - t^8.208 - 4*t^8.345 + t^8.482 + 10*t^8.619 + 6*t^8.756 - t^4.173/y - (2*t^6.518)/y - t^6.655/y + (2*t^7.69)/y + (6*t^7.827)/y + t^7.965/y - t^8.863/y - t^4.173*y - 2*t^6.518*y - t^6.655*y + 2*t^7.69*y + 6*t^7.827*y + t^7.965*y - t^8.863*y | (2*t^2.345)/g1^2 + 2*g1^3*t^2.482 + t^3.518/g1^3 + 2*g1^2*t^3.655 + 2*g1^7*t^3.792 + (3*t^4.69)/g1^4 + 5*g1*t^4.827 + 3*g1^6*t^4.965 + t^6. + 6*g1^5*t^6.137 + 4*g1^10*t^6.274 + (3*t^7.035)/g1^6 + (4*t^7.173)/g1 + 6*g1^4*t^7.31 + 6*g1^9*t^7.447 + 3*g1^14*t^7.584 - t^8.208/g1^7 - (4*t^8.345)/g1^2 + g1^3*t^8.482 + 10*g1^8*t^8.619 + 6*g1^13*t^8.756 - t^4.173/(g1*y) - (2*t^6.518)/(g1^3*y) - (g1^2*t^6.655)/y + (2*t^7.69)/(g1^4*y) + (6*g1*t^7.827)/y + (g1^6*t^7.965)/y - t^8.863/(g1^5*y) - (t^4.173*y)/g1 - (2*t^6.518*y)/g1^3 - g1^2*t^6.655*y + (2*t^7.69*y)/g1^4 + 6*g1*t^7.827*y + g1^6*t^7.965*y - (t^8.863*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|---|
1301 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$ | 0.652 | 0.8153 | 0.7997 | [X:[1.6126], M:[0.7747, 1.1621, 0.3874, 0.8379, 0.7116, 0.8379], q:[0.4505, 0.7747], qb:[0.3874, 0.8379], phi:[0.3874]] | t^2.135 + 2*t^2.324 + 2*t^2.514 + t^3.486 + 2*t^3.676 + t^3.865 + t^4.27 + 2*t^4.459 + 5*t^4.648 + 5*t^4.838 + 3*t^5.027 + t^5.621 + 2*t^5.811 + 2*t^6. - t^4.162/y - t^4.162*y | detail |