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 |
---|---|---|---|---|---|---|---|---|---|
671 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6139 | 0.7523 | 0.8161 | [M:[0.8136, 1.2, 0.7864, 0.8, 1.1864], q:[0.8, 0.3864], qb:[0.8, 0.4136], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.359 + 2*t^2.4 + t^3.518 + 2*t^3.559 + t^3.6 + t^3.641 + t^3.682 + t^4.718 + 2*t^4.759 + 4*t^4.8 + t^5.877 + 3*t^5.918 + 3*t^5.959 + t^6.041 + t^6.082 + t^7.036 + 3*t^7.077 + 4*t^7.118 + 3*t^7.159 + 5*t^7.2 - t^7.241 + t^7.323 + t^7.364 + t^8.236 + 3*t^8.277 + 4*t^8.318 + 2*t^8.359 - 2*t^8.4 - t^8.441 + t^8.482 - t^4.2/y - t^6.559/y - t^6.6/y + (2*t^7.759)/y + (2*t^7.8)/y + t^7.841/y + t^8.877/y + (3*t^8.918)/y + (4*t^8.959)/y - t^4.2*y - t^6.559*y - t^6.6*y + 2*t^7.759*y + 2*t^7.8*y + t^7.841*y + t^8.877*y + 3*t^8.918*y + 4*t^8.959*y | t^2.359/g1 + 2*t^2.4 + t^3.518/g1^2 + (2*t^3.559)/g1 + t^3.6 + g1*t^3.641 + g1^2*t^3.682 + t^4.718/g1^2 + (2*t^4.759)/g1 + 4*t^4.8 + t^5.877/g1^3 + (3*t^5.918)/g1^2 + (3*t^5.959)/g1 + g1*t^6.041 + g1^2*t^6.082 + t^7.036/g1^4 + (3*t^7.077)/g1^3 + (4*t^7.118)/g1^2 + (3*t^7.159)/g1 + 5*t^7.2 - g1*t^7.241 + g1^3*t^7.323 + g1^4*t^7.364 + t^8.236/g1^4 + (3*t^8.277)/g1^3 + (4*t^8.318)/g1^2 + (2*t^8.359)/g1 - 2*t^8.4 - g1*t^8.441 + g1^2*t^8.482 - t^4.2/y - t^6.559/(g1*y) - t^6.6/y + (2*t^7.759)/(g1*y) + (2*t^7.8)/y + (g1*t^7.841)/y + t^8.877/(g1^3*y) + (3*t^8.918)/(g1^2*y) + (4*t^8.959)/(g1*y) - t^4.2*y - (t^6.559*y)/g1 - t^6.6*y + (2*t^7.759*y)/g1 + 2*t^7.8*y + g1*t^7.841*y + (t^8.877*y)/g1^3 + (3*t^8.918*y)/g1^2 + (4*t^8.959*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1079 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.597 | 0.722 | 0.8269 | [M:[0.8, 1.2, 0.8, 0.8, 1.2, 1.2], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 2*t^2.4 + 7*t^3.6 + 4*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 597/1000, c: 361/500, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 6/5, M6: 6/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
1078 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6303 | 0.781 | 0.8071 | [M:[0.7897, 1.2, 0.8103, 0.8, 1.2103, 0.7793], q:[0.8, 0.4103], qb:[0.8, 0.3897], phi:[0.4]] | t^2.338 + 2*t^2.4 + t^2.431 + t^3.538 + t^3.569 + t^3.6 + 2*t^3.631 + t^4.676 + 2*t^4.738 + t^4.769 + 4*t^4.8 + 2*t^4.831 + t^4.862 + t^5.876 + t^5.907 + 2*t^5.938 + 3*t^5.969 - t^4.2/y - t^4.2*y | detail | |
1076 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5974 | 0.7233 | 0.826 | [M:[0.8136, 1.2, 0.7864, 0.8, 1.1864, 1.2], q:[0.8, 0.3864], qb:[0.8, 0.4136], phi:[0.4]] | t^2.359 + t^2.4 + t^3.518 + 2*t^3.559 + 2*t^3.6 + t^3.641 + t^3.682 + t^4.718 + t^4.759 + 2*t^4.8 + t^5.877 + 2*t^5.918 + 2*t^5.959 - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
413 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.63 | 0.78 | 0.8077 | [M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |