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 |
---|---|---|---|---|---|---|---|---|---|
56095 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.5839 | 0.6964 | 0.8384 | [X:[1.4], M:[0.9, 1.0, 1.1, 0.6, 1.0, 1.2], q:[0.3, 0.8], qb:[0.7, 0.6], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4671/8000, c: 5571/8000, X1: 7/5, M1: 9/10, M2: 1, M3: 11/10, M4: 3/5, M5: 1, M6: 6/5, q1: 3/10, q2: 4/5, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{2}M_{5}$ | 0 | t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 2*t^4.2 + t^4.5 + 2*t^5.4 + 2*t^6.6 + 3*t^6.9 + 3*t^7.2 + 2*t^7.5 + 4*t^7.8 + 3*t^8.1 + 3*t^8.4 - t^8.7 - t^4.2/y + (2*t^8.7)/y - t^4.2*y + 2*t^8.7*y | t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 2*t^4.2 + t^4.5 + 2*t^5.4 + 2*t^6.6 + 3*t^6.9 + 3*t^7.2 + 2*t^7.5 + 4*t^7.8 + 3*t^8.1 + 3*t^8.4 - t^8.7 - t^4.2/y + (2*t^8.7)/y - t^4.2*y + 2*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
58243 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{3}M_{7}$ | 0.593 | 0.7117 | 0.8332 | [X:[1.4], M:[0.9, 1.0, 1.1, 0.6, 1.0, 1.2, 0.9], q:[0.3, 0.8], qb:[0.7, 0.6], phi:[0.4]] | 2*t^2.7 + 2*t^3. + t^3.6 + 2*t^3.9 + 2*t^4.2 + t^4.5 + 4*t^5.4 + 2*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 759/1280, c: 911/1280, X1: 7/5, M1: 9/10, M2: 1, M3: 11/10, M4: 3/5, M5: 1, M6: 6/5, M7: 9/10, q1: 3/10, q2: 4/5, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
50834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6699 | 0.8329 | 0.8044 | [M:[0.8237, 1.0, 1.1763, 0.8036, 0.7455, 1.0982], q:[0.4018, 0.7746], qb:[0.5982, 0.4219], phi:[0.4509]] | t^2.237 + t^2.411 + t^2.471 + t^3. + t^3.06 + t^3.295 + t^3.529 + t^3.824 + t^3.884 + t^4.118 + t^4.353 + t^4.413 + t^4.473 + t^4.647 + t^4.708 + t^4.821 + t^4.882 + 2*t^4.942 + t^5.237 + t^5.297 + t^5.471 + 2*t^5.531 + t^5.705 + 2*t^5.766 - t^6. - t^4.353/y - t^4.353*y | detail |