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 |
---|---|---|---|---|---|---|---|---|---|
140 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[0.7645, 1.0], q:[0.8089, 0.8089], qb:[0.3089, 0.5443], phi:[0.3823]] | [M:[[-4], [0]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. + 4*t^6.353 - t^6.44 + 2*t^6.619 + 3*t^6.706 - 2*t^6.794 + 4*t^6.881 + t^6.972 + 3*t^7.147 + 5*t^7.413 - 2*t^7.5 + t^7.587 + t^7.679 + 2*t^7.94 + 3*t^8.119 + 2*t^8.206 - 4*t^8.294 + 4*t^8.472 - 4*t^8.56 + 2*t^8.647 - t^8.734 + t^8.825 + 4*t^8.913 - t^4.147/y - (2*t^6.44)/y + t^7.587/y + (4*t^7.853)/y + (2*t^8.294)/y + t^8.56/y + (4*t^8.647)/y - (3*t^8.734)/y + (2*t^8.913)/y - t^4.147*y - 2*t^6.44*y + t^7.587*y + 4*t^7.853*y + 2*t^8.294*y + t^8.56*y + 4*t^8.647*y - 3*t^8.734*y + 2*t^8.913*y | (2*t^2.294)/g1^4 + g1^6*t^2.56 + t^3. + 2*g1^2*t^3.353 + 2*g1^6*t^4.06 + g1^8*t^4.413 + (3*t^4.587)/g1^8 + 3*g1^2*t^4.853 + g1^12*t^5.119 + t^5.294/g1^4 + g1^6*t^5.56 + (2*t^5.647)/g1^2 + 2*g1^8*t^5.913 - 2*t^6. + 4*g1^2*t^6.353 - t^6.44/g1^6 + 2*g1^12*t^6.619 + 3*g1^4*t^6.706 - (2*t^6.794)/g1^4 + (4*t^6.881)/g1^12 + g1^14*t^6.972 + (3*t^7.147)/g1^2 + 5*g1^8*t^7.413 - 2*t^7.5 + t^7.587/g1^8 + g1^18*t^7.679 + (2*t^7.94)/g1^6 + 3*g1^12*t^8.119 + 2*g1^4*t^8.206 - (4*t^8.294)/g1^4 + 4*g1^14*t^8.472 - 4*g1^6*t^8.56 + (2*t^8.647)/g1^2 - t^8.734/g1^10 + g1^16*t^8.825 + 4*g1^8*t^8.913 - t^4.147/(g1^2*y) - (2*t^6.44)/(g1^6*y) + t^7.587/(g1^8*y) + (4*g1^2*t^7.853)/y + (2*t^8.294)/(g1^4*y) + (g1^6*t^8.56)/y + (4*t^8.647)/(g1^2*y) - (3*t^8.734)/(g1^10*y) + (2*g1^8*t^8.913)/y - (t^4.147*y)/g1^2 - (2*t^6.44*y)/g1^6 + (t^7.587*y)/g1^8 + 4*g1^2*t^7.853*y + (2*t^8.294*y)/g1^4 + g1^6*t^8.56*y + (4*t^8.647*y)/g1^2 - (3*t^8.734*y)/g1^10 + 2*g1^8*t^8.913*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 |
---|---|---|---|---|---|---|---|---|
232 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5953 | 0.7281 | 0.8176 | [M:[0.75, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.25 + t^2.625 + t^3. + 2*t^3.375 + 2*t^4.125 + 4*t^4.5 + 3*t^4.875 + 2*t^5.25 + 3*t^5.625 - t^4.125/y - t^4.125*y | detail | {a: 9753/16384, c: 11929/16384, M1: 3/4, M2: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
85 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6485 | 0.7964 | 0.8143 | [M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]] | t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. - t^4.057/y - t^4.057*y | detail |