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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4453 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.661 | 0.8975 | 0.7365 | [M:[0.9187, 1.2438, 0.9187, 0.7562, 0.7032, 0.7032, 0.9187, 0.7562], q:[0.7297, 0.3516], qb:[0.3516, 0.4046], phi:[0.5406]] | [M:[[4], [-12], [4], [12], [-10], [-10], [4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | -1 | 3*t^2.11 + 3*t^2.269 + 3*t^2.756 + t^3.403 + 2*t^3.731 + t^4.049 + 6*t^4.219 + 9*t^4.378 + 6*t^4.537 + 9*t^4.866 + 9*t^5.025 + 8*t^5.512 + 3*t^5.671 + 4*t^5.841 - t^6. + 3*t^6.159 + 3*t^6.318 + 10*t^6.329 + 19*t^6.488 + 15*t^6.647 + 13*t^6.806 + 15*t^6.975 + 23*t^7.134 + 16*t^7.293 + t^7.452 + 13*t^7.622 + 20*t^7.781 + 6*t^7.94 + 6*t^7.951 + t^8.099 - 9*t^8.11 + 4*t^8.269 + 9*t^8.428 + 15*t^8.438 + 6*t^8.587 + 27*t^8.597 + 11*t^8.756 + 27*t^8.915 - t^4.622/y - (2*t^6.731)/y - t^6.89/y + (3*t^7.219)/y + (7*t^7.378)/y + (3*t^7.537)/y + (11*t^7.866)/y + (9*t^8.025)/y + t^8.353/y + (8*t^8.512)/y + (3*t^8.671)/y + (3*t^8.841)/y - t^4.622*y - 2*t^6.731*y - t^6.89*y + 3*t^7.219*y + 7*t^7.378*y + 3*t^7.537*y + 11*t^7.866*y + 9*t^8.025*y + t^8.353*y + 8*t^8.512*y + 3*t^8.671*y + 3*t^8.841*y | (3*t^2.11)/g1^10 + 3*g1^12*t^2.269 + 3*g1^4*t^2.756 + g1^18*t^3.403 + (2*t^3.731)/g1^12 + g1^32*t^4.049 + (6*t^4.219)/g1^20 + 9*g1^2*t^4.378 + 6*g1^24*t^4.537 + (9*t^4.866)/g1^6 + 9*g1^16*t^5.025 + 8*g1^8*t^5.512 + 3*g1^30*t^5.671 + (4*t^5.841)/g1^22 - t^6. + 3*g1^22*t^6.159 + 3*g1^44*t^6.318 + (10*t^6.329)/g1^30 + (19*t^6.488)/g1^8 + 15*g1^14*t^6.647 + 13*g1^36*t^6.806 + (15*t^6.975)/g1^16 + 23*g1^6*t^7.134 + 16*g1^28*t^7.293 + g1^50*t^7.452 + (13*t^7.622)/g1^2 + 20*g1^20*t^7.781 + 6*g1^42*t^7.94 + (6*t^7.951)/g1^32 + g1^64*t^8.099 - (9*t^8.11)/g1^10 + 4*g1^12*t^8.269 + 9*g1^34*t^8.428 + (15*t^8.438)/g1^40 + 6*g1^56*t^8.587 + (27*t^8.597)/g1^18 + 11*g1^4*t^8.756 + 27*g1^26*t^8.915 - t^4.622/(g1^2*y) - (2*t^6.731)/(g1^12*y) - (g1^10*t^6.89)/y + (3*t^7.219)/(g1^20*y) + (7*g1^2*t^7.378)/y + (3*g1^24*t^7.537)/y + (11*t^7.866)/(g1^6*y) + (9*g1^16*t^8.025)/y + t^8.353/(g1^14*y) + (8*g1^8*t^8.512)/y + (3*g1^30*t^8.671)/y + (3*t^8.841)/(g1^22*y) - (t^4.622*y)/g1^2 - (2*t^6.731*y)/g1^12 - g1^10*t^6.89*y + (3*t^7.219*y)/g1^20 + 7*g1^2*t^7.378*y + 3*g1^24*t^7.537*y + (11*t^7.866*y)/g1^6 + 9*g1^16*t^8.025*y + (t^8.353*y)/g1^14 + 8*g1^8*t^8.512*y + 3*g1^30*t^8.671*y + (3*t^8.841*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
5959 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6799 | 0.9326 | 0.7291 | [M:[0.9165, 1.2506, 0.9165, 0.7494, 0.7088, 0.7088, 0.9165, 0.7494, 0.7494], q:[0.7291, 0.3544], qb:[0.3544, 0.395], phi:[0.5418]] | 3*t^2.126 + 4*t^2.248 + 3*t^2.749 + t^3.372 + t^3.752 + t^3.995 + 6*t^4.253 + 12*t^4.375 + 10*t^4.497 + 9*t^4.876 + 12*t^4.998 + 8*t^5.499 + 4*t^5.621 + t^5.878 - 3*t^6. - t^4.625/y - t^4.625*y | detail | |
5958 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.674 | 0.9193 | 0.7332 | [M:[0.9248, 1.2257, 0.9248, 0.7743, 0.6881, 0.6881, 0.9248, 0.7743, 0.8385], q:[0.7312, 0.344], qb:[0.344, 0.4303], phi:[0.5376]] | 3*t^2.064 + 3*t^2.323 + t^2.516 + 3*t^2.774 + 2*t^3.677 + 6*t^4.128 + t^4.195 + 9*t^4.387 + 3*t^4.58 + 6*t^4.646 + 12*t^4.839 + t^5.031 + 9*t^5.097 + 3*t^5.29 + 5*t^5.549 + 4*t^5.741 - t^6. - t^4.613/y - t^4.613*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
2414 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6424 | 0.8636 | 0.7438 | [M:[0.9213, 1.236, 0.9213, 0.764, 0.6967, 0.6967, 0.9213], q:[0.7303, 0.3483], qb:[0.3483, 0.4157], phi:[0.5393]] | 3*t^2.09 + 2*t^2.292 + 3*t^2.764 + t^3.438 + 3*t^3.708 + t^4.112 + 6*t^4.18 + 6*t^4.382 + 3*t^4.584 + 9*t^4.854 + 6*t^5.056 + 8*t^5.528 + 2*t^5.73 + 7*t^5.798 - t^6. - t^4.618/y - t^4.618*y | detail |