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 |
---|---|---|---|---|---|---|---|---|---|
46070 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.5879 | 0.7149 | 0.8223 | [M:[1.0, 0.8831], q:[0.6331, 0.3669], qb:[0.4837, 0.9837], phi:[0.3831]] | [M:[[0], [-1]], q:[[-1], [1]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 + t^6.253 + 2*t^6.351 - t^6.448 + 2*t^6.604 + 3*t^6.701 - 2*t^6.799 + t^6.896 + t^6.954 + 2*t^7.052 + t^7.247 + 3*t^7.402 + t^7.598 + t^7.655 + 2*t^7.753 + 4*t^8.104 - t^8.201 - t^8.299 + 3*t^8.454 - t^8.552 - 2*t^8.649 + 2*t^8.805 + 2*t^8.902 - t^4.149/y - t^6.448/y - t^6.799/y + t^7.5/y + (2*t^7.851)/y + t^7.948/y + t^8.201/y + t^8.299/y + t^8.552/y + (2*t^8.649)/y - t^8.747/y + t^8.902/y - t^4.149*y - t^6.448*y - t^6.799*y + t^7.5*y + 2*t^7.851*y + t^7.948*y + t^8.201*y + t^8.299*y + t^8.552*y + 2*t^8.649*y - t^8.747*y + t^8.902*y | t^2.299/g1^2 + g1^3*t^2.552 + t^2.649/g1 + t^3. + g1*t^3.351 + g1^2*t^3.701 + 2*g1^3*t^4.052 + g1^4*t^4.402 + t^4.598/g1^4 + 2*g1*t^4.851 + t^4.948/g1^3 + g1^6*t^5.104 + g1^2*t^5.201 + t^5.299/g1^2 + g1^3*t^5.552 + g1^4*t^5.902 + g1^5*t^6.253 + 2*g1*t^6.351 - t^6.448/g1^3 + 2*g1^6*t^6.604 + 3*g1^2*t^6.701 - (2*t^6.799)/g1^2 + t^6.896/g1^6 + g1^7*t^6.954 + 2*g1^3*t^7.052 + t^7.247/g1^5 + 3*g1^4*t^7.402 + t^7.598/g1^4 + g1^9*t^7.655 + 2*g1^5*t^7.753 + 4*g1^6*t^8.104 - g1^2*t^8.201 - t^8.299/g1^2 + 3*g1^7*t^8.454 - g1^3*t^8.552 - (2*t^8.649)/g1 + 2*g1^8*t^8.805 + 2*g1^4*t^8.902 - t^4.149/(g1*y) - t^6.448/(g1^3*y) - t^6.799/(g1^2*y) + t^7.5/y + (2*g1*t^7.851)/y + t^7.948/(g1^3*y) + (g1^2*t^8.201)/y + t^8.299/(g1^2*y) + (g1^3*t^8.552)/y + (2*t^8.649)/(g1*y) - t^8.747/(g1^5*y) + (g1^4*t^8.902)/y - (t^4.149*y)/g1 - (t^6.448*y)/g1^3 - (t^6.799*y)/g1^2 + t^7.5*y + 2*g1*t^7.851*y + (t^7.948*y)/g1^3 + g1^2*t^8.201*y + (t^8.299*y)/g1^2 + g1^3*t^8.552*y + (2*t^8.649*y)/g1 - (t^8.747*y)/g1^5 + g1^4*t^8.902*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 |
---|---|---|---|---|---|---|---|---|
46275 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6065 | 0.7473 | 0.8115 | [M:[1.0, 0.8769, 0.7538], q:[0.6269, 0.3731], qb:[0.4962, 0.9962], phi:[0.3769]] | 2*t^2.262 + t^2.608 + t^2.631 + t^3. + t^3.369 + 2*t^4.108 + t^4.477 + 3*t^4.523 + 3*t^4.869 + 2*t^4.892 + t^5.215 + t^5.238 + 2*t^5.262 + t^5.608 + t^5.631 + t^5.977 - t^6. - t^4.131/y - t^4.131*y | detail | |
46199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0.5874 | 0.7124 | 0.8245 | [M:[1.0, 0.875], q:[0.625, 0.375], qb:[0.5, 1.0], phi:[0.375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.375 + t^3.75 + 2*t^4.125 + 2*t^4.5 + 3*t^4.875 + 3*t^5.25 + t^5.625 + t^6. - t^4.125/y - t^4.125*y | detail | {a: 1203/2048, c: 1459/2048, M1: 1, M2: 7/8, q1: 5/8, q2: 3/8, qb1: 1/2, qb2: 1, phi1: 3/8} |
46180 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5508 | 0.6445 | 0.8545 | [X:[1.3333], M:[1.0, 0.8333], q:[0.5833, 0.4167], qb:[0.5833, 1.0833], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^4.5 + 2*t^5. - t^4./y - t^4.*y | detail | {a: 141/256, c: 165/256, X1: 4/3, M1: 1, M2: 5/6, q1: 7/12, q2: 5/12, qb1: 7/12, qb2: 13/12, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
45884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6486 | 0.7977 | 0.8132 | [M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]] | t^2.058 + t^2.089 + t^2.12 + t^2.821 + t^3.819 + 2*t^3.849 + t^3.88 + t^3.911 + t^4.115 + t^4.146 + 2*t^4.177 + t^4.208 + t^4.239 + t^4.878 + t^4.909 + 2*t^4.94 + t^5.641 + t^5.876 + 3*t^5.907 + 3*t^5.938 + 2*t^5.969 - t^6. - t^4.06/y - t^4.06*y | detail |