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 |
---|---|---|---|---|---|---|---|---|---|
4691 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}^{2}$ | 0.6106 | 0.7637 | 0.7995 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.95], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 31263/51200, c: 39103/51200, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 19/20, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.25 + t^2.55 + t^2.7 + 2*t^2.85 + t^3. + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 3*t^5.1 + 2*t^5.25 + 2*t^5.4 + 3*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. + 3*t^6.45 + t^6.6 + t^6.75 + t^6.9 + 4*t^7.05 + 4*t^7.2 + t^7.35 + 2*t^7.65 + 4*t^7.8 + 6*t^7.95 + 5*t^8.1 + 3*t^8.25 + 5*t^8.4 + 4*t^8.55 + 2*t^8.7 - 5*t^8.85 - t^4.35/y - t^6.9/y - t^7.05/y - t^7.2/y + t^7.5/y + t^7.65/y + (2*t^7.8)/y + t^7.95/y + (2*t^8.1)/y + (2*t^8.25)/y + (2*t^8.4)/y + (3*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^7.2*y + t^7.5*y + t^7.65*y + 2*t^7.8*y + t^7.95*y + 2*t^8.1*y + 2*t^8.25*y + 2*t^8.4*y + 3*t^8.55*y + 2*t^8.7*y + 3*t^8.85*y | t^2.25 + t^2.55 + t^2.7 + 2*t^2.85 + t^3. + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 3*t^5.1 + 2*t^5.25 + 2*t^5.4 + 3*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. + 3*t^6.45 + t^6.6 + t^6.75 + t^6.9 + 4*t^7.05 + 4*t^7.2 + t^7.35 + 2*t^7.65 + 4*t^7.8 + 6*t^7.95 + 5*t^8.1 + 3*t^8.25 + 5*t^8.4 + 4*t^8.55 + 2*t^8.7 - 5*t^8.85 - t^4.35/y - t^6.9/y - t^7.05/y - t^7.2/y + t^7.5/y + t^7.65/y + (2*t^7.8)/y + t^7.95/y + (2*t^8.1)/y + (2*t^8.25)/y + (2*t^8.4)/y + (3*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^7.2*y + t^7.5*y + t^7.65*y + 2*t^7.8*y + t^7.95*y + 2*t^8.1*y + 2*t^8.25*y + 2*t^8.4*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6271 | 0.7927 | 0.7911 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.95, 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 + 2*t^2.85 + t^3. + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.65 + 2*t^4.8 + 2*t^4.95 + 4*t^5.1 + 4*t^5.25 + 3*t^5.4 + 3*t^5.55 + 4*t^5.7 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 160539/256000, c: 202939/256000, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 19/20, 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 |
---|---|---|---|---|---|---|---|---|---|
2608 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.0747, 0.8672, 1.1328, 0.8091, 1.1909, 0.7635, 0.8672], q:[0.4917, 0.4336], qb:[0.3755, 0.7573], phi:[0.4855]] | t^2.29 + t^2.427 + 2*t^2.602 + t^2.913 + t^3.224 + t^3.573 + t^3.747 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.407 + t^4.581 + t^4.718 + t^4.855 + 2*t^4.892 + 2*t^5.029 + 4*t^5.203 + t^5.34 + 3*t^5.515 + t^5.826 + t^5.863 - 2*t^6. - t^4.456/y - t^4.456*y | detail |