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 |
---|---|---|---|---|---|---|---|---|---|
894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7035 | 0.8667 | 0.8116 | [M:[0.925, 1.025, 1.075, 0.875, 0.925], q:[0.4875, 0.5875], qb:[0.4375, 0.5375], phi:[0.4875]] | [M:[[-6], [2], [6], [-10], [-6]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.625 + 2*t^2.775 + t^2.925 + 3*t^3.075 + t^4.088 + t^4.238 + 2*t^4.388 + 2*t^4.537 + 2*t^4.687 + t^4.837 + t^4.987 + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + 4*t^5.85 - t^6. + 2*t^6.15 - 2*t^6.3 - t^6.45 + t^6.713 + 3*t^6.863 + 4*t^7.013 + 6*t^7.163 + 5*t^7.313 + 5*t^7.463 + 3*t^7.612 + 2*t^7.762 + t^7.875 + 2*t^8.025 + t^8.062 + 4*t^8.175 + 6*t^8.325 + 5*t^8.475 + 4*t^8.625 - t^8.775 - t^4.463/y - t^7.088/y - t^7.238/y + t^7.687/y + t^7.837/y + (2*t^8.4)/y + (2*t^8.55)/y + (5*t^8.7)/y + (6*t^8.85)/y - t^4.463*y - t^7.088*y - t^7.238*y + t^7.687*y + t^7.837*y + 2*t^8.4*y + 2*t^8.55*y + 5*t^8.7*y + 6*t^8.85*y | t^2.625/g1^10 + (2*t^2.775)/g1^6 + t^2.925/g1^2 + 3*g1^2*t^3.075 + t^4.088/g1^11 + t^4.238/g1^7 + (2*t^4.388)/g1^3 + 2*g1*t^4.537 + 2*g1^5*t^4.687 + g1^9*t^4.837 + g1^13*t^4.987 + t^5.25/g1^20 + (2*t^5.4)/g1^16 + (3*t^5.55)/g1^12 + (3*t^5.7)/g1^8 + (4*t^5.85)/g1^4 - t^6. + 2*g1^4*t^6.15 - 2*g1^8*t^6.3 - g1^12*t^6.45 + t^6.713/g1^21 + (3*t^6.863)/g1^17 + (4*t^7.013)/g1^13 + (6*t^7.163)/g1^9 + (5*t^7.313)/g1^5 + (5*t^7.463)/g1 + 3*g1^3*t^7.612 + 2*g1^7*t^7.762 + t^7.875/g1^30 + (2*t^8.025)/g1^26 + g1^15*t^8.062 + (4*t^8.175)/g1^22 + (6*t^8.325)/g1^18 + (5*t^8.475)/g1^14 + (4*t^8.625)/g1^10 - t^8.775/g1^6 - t^4.463/(g1*y) - t^7.088/(g1^11*y) - t^7.238/(g1^7*y) + (g1^5*t^7.687)/y + (g1^9*t^7.837)/y + (2*t^8.4)/(g1^16*y) + (2*t^8.55)/(g1^12*y) + (5*t^8.7)/(g1^8*y) + (6*t^8.85)/(g1^4*y) - (t^4.463*y)/g1 - (t^7.088*y)/g1^11 - (t^7.238*y)/g1^7 + g1^5*t^7.687*y + g1^9*t^7.837*y + (2*t^8.4*y)/g1^16 + (2*t^8.55*y)/g1^12 + (5*t^8.7*y)/g1^8 + (6*t^8.85*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7012 | 0.8624 | 0.8131 | [M:[0.9321, 1.0226, 1.0679, 0.8868, 0.9321, 1.0226], q:[0.4887, 0.5793], qb:[0.4434, 0.534], phi:[0.4887]] | t^2.66 + 2*t^2.796 + 4*t^3.068 + t^4.126 + t^4.262 + 2*t^4.398 + 2*t^4.534 + 2*t^4.67 + t^4.806 + t^4.942 + t^5.321 + 2*t^5.457 + 2*t^5.592 + 2*t^5.728 + 5*t^5.864 - 4*t^6. - t^4.466/y - t^4.466*y | detail | |
2059 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6261 | 0.7799 | 0.8027 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | 2*t^2.308 + t^2.769 + 4*t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 2*t^5.077 + 7*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 2751/4394, c: 3427/4394, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^4.346/y - t^4.346*y | detail |