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 |
---|---|---|---|---|---|---|---|---|---|
46800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.143 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + t^4.714 + t^5.143 + 2*t^5.357 + t^5.571 - t^6. + 4*t^6.429 + 4*t^6.643 + 5*t^6.857 + 2*t^7.071 + 3*t^7.286 + 2*t^7.5 + t^7.714 - t^8.143 + 4*t^8.571 - t^4.286/y + t^8.143/y + (2*t^8.357)/y + (2*t^8.571)/y + (2*t^8.786)/y - t^4.286*y + t^8.143*y + 2*t^8.357*y + 2*t^8.571*y + 2*t^8.786*y | t^2.143 + t^3. + t^3.214/g1^2 + g1^2*t^3.214 + 2*t^3.429 + t^3.643/g1^2 + g1^2*t^3.643 + t^3.857 + t^4.286 + t^4.714 + t^5.143 + t^5.357/g1^2 + g1^2*t^5.357 + t^5.571 - t^6. + 2*t^6.429 + t^6.429/g1^4 + g1^4*t^6.429 + (2*t^6.643)/g1^2 + 2*g1^2*t^6.643 + 3*t^6.857 + t^6.857/g1^4 + g1^4*t^6.857 + t^7.071/g1^2 + g1^2*t^7.071 + t^7.286 + t^7.286/g1^4 + g1^4*t^7.286 + t^7.5/g1^2 + g1^2*t^7.5 + t^7.714 - t^8.143 + 2*t^8.571 + t^8.571/g1^4 + g1^4*t^8.571 - t^4.286/y + t^8.143/y + t^8.357/(g1^2*y) + (g1^2*t^8.357)/y + (2*t^8.571)/y + t^8.786/(g1^2*y) + (g1^2*t^8.786)/y - t^4.286*y + t^8.143*y + (t^8.357*y)/g1^2 + g1^2*t^8.357*y + 2*t^8.571*y + (t^8.786*y)/g1^2 + g1^2*t^8.786*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 |
---|---|---|---|---|---|---|---|---|
55040 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5627 | 0.6956 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.8731], q:[0.7063, 0.8651], qb:[0.2937, 0.4206], phi:[0.4286]] | t^2.143 + t^2.619 + t^3. + t^3.048 + 2*t^3.429 + t^3.477 + t^3.809 + t^3.857 + t^4.286 + t^4.714 + t^4.762 + t^5.143 + t^5.191 + t^5.239 + t^5.571 + t^5.619 + t^5.667 - t^6. - t^4.286/y - t^4.286*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 |
---|---|---|---|---|---|---|---|---|---|
46713 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 0.698, 1.1563, 0.8437, 1.2291], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.094 + t^2.531 + t^3.469 + 2*t^3.578 + 2*t^3.687 + 2*t^3.797 + t^4.188 + t^4.625 + t^4.844 + t^5.062 + t^5.563 + 2*t^5.672 + t^5.781 - 2*t^6. - t^4.156/y - t^4.156*y | detail |