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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57867 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[0.985, 1.0882, 1.015, 0.7354, 0.8386, 0.8086, 1.1914], q:[0.3677, 0.6473], qb:[0.5441, 0.6173], phi:[0.4559]] | [M:[[11], [2], [-11], [-6], [-15], [7], [-7]], q:[[-3], [-8]], qb:[[1], [14]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. + 2*t^6.09 + 3*t^6.31 + t^6.529 + 4*t^6.619 - t^6.749 + 2*t^6.839 + 2*t^6.929 + t^7.058 + 6*t^7.148 + t^7.238 + t^7.278 + t^7.368 + 3*t^7.458 + t^7.548 + t^7.587 + 4*t^7.677 + 2*t^7.767 + t^7.807 + 6*t^7.987 + t^8.026 + t^8.077 - t^8.206 + 4*t^8.296 + 2*t^8.516 + 2*t^8.606 + t^8.646 - 2*t^8.735 + 6*t^8.825 - 3*t^8.955 - t^4.368/y - t^6.574/y - t^6.884/y + t^7.722/y + t^7.852/y + t^7.942/y + (2*t^8.161)/y + (2*t^8.251)/y + (2*t^8.471)/y + t^8.561/y + t^8.69/y + (3*t^8.78)/y - t^4.368*y - t^6.574*y - t^6.884*y + t^7.722*y + t^7.852*y + t^7.942*y + 2*t^8.161*y + 2*t^8.251*y + 2*t^8.471*y + t^8.561*y + t^8.69*y + 3*t^8.78*y | t^2.206/g1^6 + t^2.516/g1^15 + t^2.735/g1^2 + g1^11*t^2.955 + t^3.045/g1^11 + g1^2*t^3.265 + (2*t^3.574)/g1^7 + t^4.103/g1^3 + g1^10*t^4.323 + (2*t^4.413)/g1^12 + g1*t^4.632 + t^4.722/g1^21 + g1^14*t^4.852 + (2*t^4.942)/g1^8 + t^5.032/g1^30 + g1^27*t^5.071 + g1^5*t^5.161 + (2*t^5.251)/g1^17 + (2*t^5.471)/g1^4 + t^5.561/g1^26 + (3*t^5.78)/g1^13 - 2*t^6. + (2*t^6.09)/g1^22 + (3*t^6.31)/g1^9 + g1^4*t^6.529 + (4*t^6.619)/g1^18 - g1^17*t^6.749 + (2*t^6.839)/g1^5 + (2*t^6.929)/g1^27 + g1^8*t^7.058 + (6*t^7.148)/g1^14 + t^7.238/g1^36 + g1^21*t^7.278 + t^7.368/g1 + (3*t^7.458)/g1^23 + t^7.548/g1^45 + g1^12*t^7.587 + (4*t^7.677)/g1^10 + (2*t^7.767)/g1^32 + g1^25*t^7.807 + (6*t^7.987)/g1^19 + g1^38*t^8.026 + t^8.077/g1^41 - t^8.206/g1^6 + (4*t^8.296)/g1^28 + (2*t^8.516)/g1^15 + (2*t^8.606)/g1^37 + g1^20*t^8.646 - (2*t^8.735)/g1^2 + (6*t^8.825)/g1^24 - 3*g1^11*t^8.955 - t^4.368/(g1*y) - t^6.574/(g1^7*y) - t^6.884/(g1^16*y) + t^7.722/(g1^21*y) + (g1^14*t^7.852)/y + t^7.942/(g1^8*y) + (2*g1^5*t^8.161)/y + (2*t^8.251)/(g1^17*y) + (2*t^8.471)/(g1^4*y) + t^8.561/(g1^26*y) + (g1^9*t^8.69)/y + (3*t^8.78)/(g1^13*y) - (t^4.368*y)/g1 - (t^6.574*y)/g1^7 - (t^6.884*y)/g1^16 + (t^7.722*y)/g1^21 + g1^14*t^7.852*y + (t^7.942*y)/g1^8 + 2*g1^5*t^8.161*y + (2*t^8.251*y)/g1^17 + (2*t^8.471*y)/g1^4 + (t^8.561*y)/g1^26 + g1^9*t^8.69*y + (3*t^8.78*y)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
58876 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6758 | 0.8226 | 0.8215 | [M:[0.9795, 1.0872, 1.0205, 0.7385, 0.8462, 0.8051, 1.1949, 1.2615], q:[0.3692, 0.6513], qb:[0.5436, 0.6102], phi:[0.4564]] | t^2.539 + t^2.738 + t^2.938 + t^3.062 + t^3.262 + 2*t^3.585 + t^3.785 + t^4.108 + t^4.308 + t^4.431 + t^4.631 + t^4.831 + t^4.954 + t^5.031 + t^5.077 + t^5.277 + t^5.477 + t^5.6 + t^5.8 - 2*t^6. - t^4.369/y - t^4.369*y | detail | |
58767 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{5}^{2}$ | 0.6702 | 0.8243 | 0.813 | [M:[0.8667, 1.0667, 1.1333, 0.8, 1.0, 0.7333, 1.2667], q:[0.4, 0.7333], qb:[0.5333, 0.4667], phi:[0.4667]] | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 4021/6000, c: 2473/3000, M1: 13/15, M2: 16/15, M3: 17/15, M4: 4/5, M5: 1, M6: 11/15, M7: 19/15, q1: 2/5, q2: 11/15, qb1: 8/15, qb2: 7/15, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
56000 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7115 | 0.8866 | 0.8025 | [M:[0.9742, 1.0862, 1.0258, 0.7414, 0.8534, 0.8017], q:[0.3707, 0.6552], qb:[0.5431, 0.6035], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |