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 |
---|---|---|---|---|---|---|---|---|---|
57376 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9037 | 0.9394 | 0.962 | [X:[1.6509, 1.4763], M:[1.0474], q:[0.4763, 1.1272], qb:[0.4763, 0.8728], phi:[0.1746]] | [X:[[0, 4], [0, 6]], M:[[0, -12]], q:[[1, 11], [-2, 0]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}$ | -2 | t^3.142 + t^3.382 + t^3.905 + t^4.429 + t^4.953 + 2*t^5.858 - 2*t^6. + t^6.284 + t^6.763 + t^7.047 + t^7.287 + 2*t^7.571 + 2*t^7.811 - 2*t^7.953 + 2*t^8.095 + t^8.334 - 2*t^8.476 + t^8.618 + t^8.858 + t^7.571/y^2 - t^3.524/y - t^4.047/y - t^6.666/y - t^7.189/y - t^7.429/y - t^7.953/y - t^8.476/y - t^3.524*y - t^4.047*y - t^6.666*y - t^7.189*y - t^7.429*y - t^7.953*y - t^8.476*y + t^7.571*y^2 | t^3.142/g2^12 + g2^10*t^3.382 + g2^8*t^3.905 + g2^6*t^4.429 + g2^4*t^4.953 + t^5.858/(g1^3*g2^3) + g1^3*g2^27*t^5.858 - 2*t^6. + t^6.284/g2^24 + g2^20*t^6.763 + t^7.047/g2^4 + g2^18*t^7.287 + (2*t^7.571)/g2^6 + 2*g2^16*t^7.811 - t^7.953/(g1^3*g2^11) - g1^3*g2^19*t^7.953 + (2*t^8.095)/g2^8 + g2^14*t^8.334 - t^8.476/(g1^3*g2^13) - g1^3*g2^17*t^8.476 + t^8.618/g2^10 + g2^12*t^8.858 + t^7.571/(g2^6*y^2) - t^3.524/(g2^2*y) - t^4.047/(g2^4*y) - t^6.666/(g2^14*y) - t^7.189/(g2^16*y) - (g2^6*t^7.429)/y - (g2^4*t^7.953)/y - (g2^2*t^8.476)/y - (t^3.524*y)/g2^2 - (t^4.047*y)/g2^4 - (t^6.666*y)/g2^14 - (t^7.189*y)/g2^16 - g2^6*t^7.429*y - g2^4*t^7.953*y - g2^2*t^8.476*y + (t^7.571*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
58463 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.9167 | 0.9583 | 0.9565 | [X:[1.6667, 1.5], M:[1.0, 0.8333], q:[0.5, 1.1667], qb:[0.5, 0.8333], phi:[0.1667]] | t^2.5 + t^3. + t^4. + t^4.5 + 2*t^5. + t^5.5 + t^6. - t^3.5/y - t^4./y - t^6./y - t^3.5*y - t^4.*y - t^6.*y | detail | {a: 11/12, c: 23/24, X1: 5/3, X2: 3/2, M1: 1, M2: 5/6, q1: 1/2, q2: 7/6, qb1: 1/2, qb2: 5/6, phi1: 1/6} |
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 |
---|---|---|---|---|---|---|---|---|---|
47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |