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 |
---|---|---|---|---|---|---|---|---|---|
402 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}^{2}$ | 0.6621 | 0.7871 | 0.8412 | [M:[0.9238, 1.1646, 1.0, 1.0], q:[0.7912, 0.5381], qb:[0.5381, 0.4619], phi:[0.4177]] | [M:[[14], [-4], [0], [0]], q:[[-1], [-7]], qb:[[-7], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$ | ${}M_{3}M_{4}$ | -2 | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - 2*t^6.229 + t^6.531 + 2*t^6.759 + t^6.796 + 3*t^6.988 + 2*t^7.024 + 3*t^7.253 + 4*t^7.482 + t^7.518 + 2*t^7.747 + t^7.784 + 3*t^7.976 + 2*t^8.012 + t^8.049 + 3*t^8.241 + 2*t^8.278 + t^8.314 + 4*t^8.469 + 2*t^8.506 + 2*t^8.735 - 3*t^8.771 + 5*t^8.963 - t^4.253/y - t^7.024/y + t^7.482/y + (2*t^8.771)/y - t^4.253*y - t^7.024*y + t^7.482*y + 2*t^8.771*y | g1^14*t^2.771 + 2*t^3. + t^3.494/g1^4 + g1^6*t^3.759 + (2*t^3.988)/g1^8 + g1^16*t^4.024 + 2*g1^2*t^4.253 + (3*t^4.482)/g1^12 + g1^28*t^5.543 - 2*t^6. - (2*t^6.229)/g1^14 + g1^20*t^6.531 + 2*g1^6*t^6.759 + g1^30*t^6.796 + (3*t^6.988)/g1^8 + 2*g1^16*t^7.024 + 3*g1^2*t^7.253 + (4*t^7.482)/g1^12 + g1^12*t^7.518 + (2*t^7.747)/g1^2 + g1^22*t^7.784 + (3*t^7.976)/g1^16 + 2*g1^8*t^8.012 + g1^32*t^8.049 + (3*t^8.241)/g1^6 + 2*g1^18*t^8.278 + g1^42*t^8.314 + (4*t^8.469)/g1^20 + 2*g1^4*t^8.506 + (2*t^8.735)/g1^10 - 3*g1^14*t^8.771 + (5*t^8.963)/g1^24 - (g1^2*t^4.253)/y - (g1^16*t^7.024)/y + t^7.482/(g1^12*y) + (2*g1^14*t^8.771)/y - g1^2*t^4.253*y - g1^16*t^7.024*y + (t^7.482*y)/g1^12 + 2*g1^14*t^8.771*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 |
---|---|---|---|---|---|---|---|---|
652 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}^{2}$ | 0.6582 | 0.7832 | 0.8404 | [M:[1.0, 1.1429, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^3. + t^3.429 + 3*t^3.857 + 6*t^4.286 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 129/196, c: 307/392, M1: 1, M2: 8/7, M3: 1, M4: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
252 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6697 | 0.7947 | 0.8427 | [M:[0.8882, 1.2067, 0.8882, 1.0], q:[0.8017, 0.6118], qb:[0.5, 0.5], phi:[0.3966]] | 2*t^2.665 + t^3. + t^3.62 + 2*t^3.905 + 3*t^4.19 + t^4.24 + 2*t^4.525 + t^4.861 + 3*t^5.329 - 4*t^6. - t^4.19/y - t^4.19*y | detail |