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 |
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3567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6037 | 0.7689 | 0.7852 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 53013/87808, c: 67517/87808, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | 0 | 2*t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 5*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6.214 + 6*t^6.429 + 4*t^6.643 + 6*t^6.857 + t^7.071 + 5*t^7.286 + 7*t^7.5 + 8*t^7.714 + 7*t^7.929 + t^8.357 + 8*t^8.571 + 5*t^8.786 - t^4.286/y - t^6.429/y - t^6.643/y - t^6.857/y + t^7.286/y + (2*t^7.5)/y + (3*t^7.714)/y + (2*t^7.929)/y + (3*t^8.143)/y + (5*t^8.357)/y + (4*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.643*y - t^6.857*y + t^7.286*y + 2*t^7.5*y + 3*t^7.714*y + 2*t^7.929*y + 3*t^8.143*y + 5*t^8.357*y + 4*t^8.571*y + 4*t^8.786*y | 2*t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 5*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6.214 + 6*t^6.429 + 4*t^6.643 + 6*t^6.857 + t^7.071 + 5*t^7.286 + 7*t^7.5 + 8*t^7.714 + 7*t^7.929 + t^8.357 + 8*t^8.571 + 5*t^8.786 - t^4.286/y - t^6.429/y - t^6.643/y - t^6.857/y + t^7.286/y + (2*t^7.5)/y + (3*t^7.714)/y + (2*t^7.929)/y + (3*t^8.143)/y + (5*t^8.357)/y + (4*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.643*y - t^6.857*y + t^7.286*y + 2*t^7.5*y + 3*t^7.714*y + 2*t^7.929*y + 3*t^8.143*y + 5*t^8.357*y + 4*t^8.571*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.5864 | 0.7382 | 0.7944 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 1.2143], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.143 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.643 + 3*t^4.286 + 3*t^4.714 + 3*t^5.143 + 4*t^5.357 + 2*t^5.571 + 4*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 1839/3136, c: 2315/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 17/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
5232 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6211 | 0.7996 | 0.7767 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.143 + 2*t^2.357 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 3*t^4.286 + 4*t^4.5 + 6*t^4.714 + 2*t^4.929 + 3*t^5.143 + 6*t^5.357 + 6*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 27267/43904, c: 35107/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
2967 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6046 | 0.7716 | 0.7835 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | 2*t^2.143 + t^2.267 + t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.429 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 3*t^4.714 + t^4.839 + 3*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 3*t^5.571 + 3*t^5.696 + t^5.82 - t^6. - t^4.286/y - t^4.286*y | detail |