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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5402 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.5746 | 0.6996 | 0.8213 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1117/1944, c: 170/243, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.333 + t^5.556 + t^5.778 - t^6. + t^6.222 + 2*t^6.444 + 3*t^6.667 + 2*t^6.889 + 3*t^7.111 + 3*t^7.333 + 2*t^7.556 + 2*t^7.778 + 3*t^8. + 2*t^8.222 + 2*t^8.667 - t^8.889 - t^4.333/y + t^7./y - t^7.667/y + t^8.333/y + t^8.556/y + (2*t^8.778)/y - t^4.333*y + t^7.*y - t^7.667*y + t^8.333*y + t^8.556*y + 2*t^8.778*y | t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.333 + t^5.556 + t^5.778 - t^6. + t^6.222 + 2*t^6.444 + 3*t^6.667 + 2*t^6.889 + 3*t^7.111 + 3*t^7.333 + 2*t^7.556 + 2*t^7.778 + 3*t^8. + 2*t^8.222 + 2*t^8.667 - t^8.889 - t^4.333/y + t^7./y - t^7.667/y + t^8.333/y + t^8.556/y + (2*t^8.778)/y - t^4.333*y + t^7.*y - t^7.667*y + t^8.333*y + t^8.556*y + 2*t^8.778*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 |
---|---|---|---|---|---|---|---|---|
6879 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ | 0.5846 | 0.7166 | 0.8159 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + 2*t^5.556 + t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 2273/3888, c: 1393/1944, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 8/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.578 | 0.7054 | 0.8195 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.963], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.444 + 2*t^2.889 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + 2*t^5.333 + 3*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 20227/34992, c: 12341/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 26/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.5711 | 0.6938 | 0.8232 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 1.037], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.444 + 2*t^3.111 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + 2*t^5.556 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 19985/34992, c: 12139/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 28/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6882 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.594 | 0.7352 | 0.8079 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111, 0.7407], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + 2*t^4. + t^4.222 + t^4.444 + 2*t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + 3*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 20785/34992, c: 12863/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, M8: 20/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
3805 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | t^2.427 + t^2.891 + t^3.109 + 2*t^3.327 + t^3.545 + t^3.763 + t^3.981 + t^4.009 + t^4.227 + t^4.635 + t^4.853 + t^5.318 + t^5.536 + t^5.754 + t^5.972 - 2*t^6. - t^4.336/y - t^4.336*y | detail |