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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4577 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.606 | 0.756 | 0.8016 | [X:[1.45], M:[0.85, 0.95, 1.05, 0.75, 1.25, 0.55, 1.0], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 38781/64000, c: 48381/64000, X1: 29/20, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 11/20, M7: 1, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | 0 | t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 + t^6.15 + t^6.3 + 2*t^6.45 + 2*t^6.75 + 2*t^6.9 + 2*t^7.05 + 3*t^7.2 + 2*t^7.35 + t^7.5 + 2*t^7.65 + 3*t^7.8 + 4*t^7.95 + 4*t^8.1 + 3*t^8.25 + 4*t^8.4 + 2*t^8.55 + 2*t^8.7 - t^8.85 - t^4.35/y - t^6.9/y - t^7.05/y + t^7.65/y + (2*t^7.8)/y + t^7.95/y + t^8.1/y + (2*t^8.25)/y + (2*t^8.4)/y + (2*t^8.55)/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.35*y - t^6.9*y - t^7.05*y + t^7.65*y + 2*t^7.8*y + t^7.95*y + t^8.1*y + 2*t^8.25*y + 2*t^8.4*y + 2*t^8.55*y + 2*t^8.7*y + 3*t^8.85*y | t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 + t^6.15 + t^6.3 + 2*t^6.45 + 2*t^6.75 + 2*t^6.9 + 2*t^7.05 + 3*t^7.2 + 2*t^7.35 + t^7.5 + 2*t^7.65 + 3*t^7.8 + 4*t^7.95 + 4*t^8.1 + 3*t^8.25 + 4*t^8.4 + 2*t^8.55 + 2*t^8.7 - t^8.85 - t^4.35/y - t^6.9/y - t^7.05/y + t^7.65/y + (2*t^7.8)/y + t^7.95/y + t^8.1/y + (2*t^8.25)/y + (2*t^8.4)/y + (2*t^8.55)/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.35*y - t^6.9*y - t^7.05*y + t^7.65*y + 2*t^7.8*y + t^7.95*y + t^8.1*y + 2*t^8.25*y + 2*t^8.4*y + 2*t^8.55*y + 2*t^8.7*y + 3*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
6101 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6225 | 0.785 | 0.793 | [X:[1.45], M:[0.85, 0.95, 1.05, 0.75, 1.25, 0.55, 1.0, 0.8], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | t^2.25 + t^2.4 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.65 + 2*t^4.8 + 2*t^4.95 + 3*t^5.1 + 3*t^5.25 + 3*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 39837/64000, c: 50237/64000, X1: 29/20, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 11/20, M7: 1, M8: 4/5, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
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 |
---|---|---|---|---|---|---|---|---|---|
2518 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6668 | 0.8443 | 0.7898 | [M:[1.0464, 0.8776, 1.1224, 0.8017, 1.1983, 0.7258, 0.7932], q:[0.5147, 0.4388], qb:[0.3629, 0.7595], phi:[0.481]] | t^2.177 + t^2.38 + t^2.405 + t^2.633 + t^2.886 + t^3.139 + t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.355 + t^4.532 + t^4.557 + t^4.582 + t^4.759 + t^4.785 + 2*t^4.81 + t^5.013 + t^5.038 + t^5.063 + 2*t^5.266 + t^5.291 + t^5.317 + 2*t^5.519 + t^5.544 + t^5.747 + 2*t^5.772 + t^5.975 - t^6. - t^4.443/y - t^4.443*y | detail |