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 |
---|---|---|---|---|---|---|---|---|---|
55274 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6369 | 0.8199 | 0.7768 | [M:[1.1429, 1.0714, 0.7143, 0.8571, 0.7857], q:[0.5357, 0.3214], qb:[0.3929, 0.75], phi:[0.5]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7989/12544, c: 10285/12544, M1: 8/7, M2: 15/14, M3: 5/7, M4: 6/7, M5: 11/14, q1: 15/28, q2: 9/28, qb1: 11/28, qb2: 3/4, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{4}$ | 1 | 2*t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.857 + t^4.071 + 4*t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 4*t^5.357 + 6*t^5.571 + 3*t^5.786 + t^6. + 2*t^6.214 + 9*t^6.429 + 6*t^6.643 + 7*t^6.857 + 3*t^7.071 + 7*t^7.286 + 7*t^7.5 + 10*t^7.714 + 6*t^7.929 + 5*t^8.143 + t^8.357 + 11*t^8.571 + 10*t^8.786 - t^4.5/y - t^6.643/y - t^6.857/y + (2*t^7.286)/y + (2*t^7.5)/y + t^7.714/y + t^7.929/y + (3*t^8.143)/y + (6*t^8.357)/y + (7*t^8.571)/y + (3*t^8.786)/y - t^4.5*y - t^6.643*y - t^6.857*y + 2*t^7.286*y + 2*t^7.5*y + t^7.714*y + t^7.929*y + 3*t^8.143*y + 6*t^8.357*y + 7*t^8.571*y + 3*t^8.786*y | 2*t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.857 + t^4.071 + 4*t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 4*t^5.357 + 6*t^5.571 + 3*t^5.786 + t^6. + 2*t^6.214 + 9*t^6.429 + 6*t^6.643 + 7*t^6.857 + 3*t^7.071 + 7*t^7.286 + 7*t^7.5 + 10*t^7.714 + 6*t^7.929 + 5*t^8.143 + t^8.357 + 11*t^8.571 + 10*t^8.786 - t^4.5/y - t^6.643/y - t^6.857/y + (2*t^7.286)/y + (2*t^7.5)/y + t^7.714/y + t^7.929/y + (3*t^8.143)/y + (6*t^8.357)/y + (7*t^8.571)/y + (3*t^8.786)/y - t^4.5*y - t^6.643*y - t^6.857*y + 2*t^7.286*y + 2*t^7.5*y + t^7.714*y + t^7.929*y + 3*t^8.143*y + 6*t^8.357*y + 7*t^8.571*y + 3*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 |
---|---|---|---|---|---|---|---|---|
56929 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6435 | 0.831 | 0.7744 | [M:[1.1429, 1.0714, 0.7143, 0.8571, 0.7857, 0.9286], q:[0.5357, 0.3214], qb:[0.3929, 0.75], phi:[0.5]] | 2*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.857 + t^4.071 + 4*t^4.286 + 2*t^4.5 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 6*t^5.571 + 3*t^5.786 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 28251/43904, c: 36483/43904, M1: 8/7, M2: 15/14, M3: 5/7, M4: 6/7, M5: 11/14, M6: 13/14, q1: 15/28, q2: 9/28, qb1: 11/28, qb2: 3/4, phi1: 1/2} |
56928 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6243 | 0.7984 | 0.7819 | [M:[1.1429, 1.0714, 0.7143, 0.8571, 0.7857, 1.1429], q:[0.5357, 0.3214], qb:[0.3929, 0.75], phi:[0.5]] | 2*t^2.143 + t^2.357 + t^3. + 2*t^3.214 + 3*t^3.429 + t^3.857 + t^4.071 + 4*t^4.286 + 2*t^4.5 + 2*t^4.714 + 2*t^5.143 + 4*t^5.357 + 7*t^5.571 + 2*t^5.786 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 54819/87808, c: 70107/87808, M1: 8/7, M2: 15/14, M3: 5/7, M4: 6/7, M5: 11/14, M6: 8/7, q1: 15/28, q2: 9/28, qb1: 11/28, qb2: 3/4, phi1: 1/2} |
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46801 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6571 | 0.8477 | 0.7752 | [M:[1.1128, 1.1616, 0.7744, 0.6768, 0.7256], q:[0.4756, 0.4116], qb:[0.3628, 0.75], phi:[0.5]] | t^2.03 + t^2.177 + 2*t^2.323 + t^3. + 2*t^3.338 + 2*t^3.485 + t^3.677 + t^4.015 + t^4.061 + t^4.162 + t^4.207 + 4*t^4.354 + 2*t^4.5 + 3*t^4.646 + t^5.03 + t^5.177 + 2*t^5.323 + 2*t^5.369 + 4*t^5.515 + 5*t^5.662 + t^5.707 + 3*t^5.808 - t^6. - t^4.5/y - t^4.5*y | detail |