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 |
---|---|---|---|---|---|---|---|---|---|
47191 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.7104, 0.3872, 0.8384, 1.1616, 1.2256], q:[0.8384, 0.4512], qb:[0.7744, 0.3872], phi:[0.3872]] | [X:[[1]], M:[[-7], [-1], [3], [-3], [2]], q:[[3], [4]], qb:[[-2], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.131 + t^2.515 + 2*t^3.485 + 4*t^3.677 + t^3.869 + t^4.263 + t^4.646 + t^4.838 + t^5.03 + 2*t^5.616 + 2*t^5.808 - 2*t^6. + 2*t^6.192 + t^6.384 + t^6.394 + t^6.778 + 2*t^6.97 + 3*t^7.162 + 6*t^7.354 + 3*t^7.545 + t^7.737 + 2*t^7.747 + 2*t^7.939 - 2*t^8.131 + t^8.323 - 2*t^8.515 + t^8.525 + t^8.707 + t^8.899 + t^8.909 - t^4.162/y - t^6.293/y + t^7.646/y + t^8.03/y - t^8.424/y + (2*t^8.616)/y + (4*t^8.808)/y - t^4.162*y - t^6.293*y + t^7.646*y + t^8.03*y - t^8.424*y + 2*t^8.616*y + 4*t^8.808*y | t^2.131/g1^7 + g1^3*t^2.515 + (2*t^3.485)/g1^3 + 4*g1^2*t^3.677 + g1^7*t^3.869 + t^4.263/g1^14 + t^4.646/g1^4 + g1*t^4.838 + g1^6*t^5.03 + (2*t^5.616)/g1^10 + (2*t^5.808)/g1^5 - 2*t^6. + 2*g1^5*t^6.192 + g1^10*t^6.384 + t^6.394/g1^21 + t^6.778/g1^11 + (2*t^6.97)/g1^6 + (3*t^7.162)/g1 + 6*g1^4*t^7.354 + 3*g1^9*t^7.545 + g1^14*t^7.737 + (2*t^7.747)/g1^17 + (2*t^7.939)/g1^12 - (2*t^8.131)/g1^7 + t^8.323/g1^2 - 2*g1^3*t^8.515 + t^8.525/g1^28 + g1^8*t^8.707 + g1^13*t^8.899 + t^8.909/g1^18 - t^4.162/(g1*y) - t^6.293/(g1^8*y) + t^7.646/(g1^4*y) + (g1^6*t^8.03)/y - t^8.424/(g1^15*y) + (2*t^8.616)/(g1^10*y) + (4*t^8.808)/(g1^5*y) - (t^4.162*y)/g1 - (t^6.293*y)/g1^8 + (t^7.646*y)/g1^4 + g1^6*t^8.03*y - (t^8.424*y)/g1^15 + (2*t^8.616*y)/g1^10 + (4*t^8.808*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 |
---|---|---|---|---|---|---|---|---|
50989 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}^{2}$ | 0.5499 | 0.6749 | 0.8148 | [X:[1.5714], M:[1.0, 0.4286, 0.7143, 1.2857, 1.1429], q:[0.7143, 0.2857], qb:[0.8571, 0.4286], phi:[0.4286]] | t^2.143 + 2*t^3. + 4*t^3.429 + 2*t^3.857 + t^4.286 + t^4.714 + 2*t^5.143 + 2*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 1509/2744, c: 463/686, X1: 11/7, M1: 1, M2: 3/7, M3: 5/7, M4: 9/7, M5: 8/7, q1: 5/7, q2: 2/7, qb1: 6/7, qb2: 3/7, phi1: 3/7} |
55649 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6227 | 0.7666 | 0.8123 | [X:[1.6146], M:[0.6979, 0.3854, 0.8438, 1.1562, 1.2292, 0.6979], q:[0.8438, 0.4583], qb:[0.7708, 0.3854], phi:[0.3854]] | 2*t^2.094 + t^2.531 + 2*t^3.469 + 4*t^3.688 + 3*t^4.187 + 2*t^4.625 + t^4.844 + t^5.063 + 4*t^5.562 + 6*t^5.781 - 3*t^6. - t^4.156/y - t^4.156*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46520 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7183 | 0.8774 | 0.8187 | [M:[0.8187, 0.8187, 1.0, 1.0, 1.0906], q:[0.6359, 0.5453], qb:[0.5453, 0.4547], phi:[0.4547]] | 2*t^2.456 + 2*t^3. + 3*t^3.272 + t^4.092 + 2*t^4.364 + 4*t^4.636 + 2*t^4.908 + 3*t^4.912 + t^5.18 + 3*t^5.456 + 2*t^5.728 - 3*t^6. - t^4.364/y - t^4.364*y | detail |