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 |
---|---|---|---|---|---|---|---|---|---|
1642 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7197 | 0.9131 | 0.7882 | [M:[0.9705, 1.1242, 0.9705, 0.6863, 0.8758, 0.7811, 0.6863], q:[0.7811, 0.4379], qb:[0.5916, 0.4379], phi:[0.4379]] | [M:[[9], [-4], [9], [-6], [4], [-1], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.059 + t^2.343 + 2*t^2.627 + 2*t^2.912 + t^3.657 + t^3.941 + 4*t^4.118 + 4*t^4.402 + 5*t^4.686 + t^4.863 + 6*t^4.971 + 5*t^5.255 + 2*t^5.539 + 2*t^5.716 + 3*t^5.823 - 2*t^6. + 6*t^6.177 + t^6.284 + 6*t^6.461 + 3*t^6.568 + 10*t^6.745 + 2*t^6.922 + 13*t^7.029 + t^7.206 + 10*t^7.314 + t^7.49 + 8*t^7.598 + 2*t^7.775 + 12*t^7.882 - 6*t^8.059 + 5*t^8.166 + 8*t^8.236 - 4*t^8.343 + 3*t^8.451 + 9*t^8.52 - 3*t^8.627 + 4*t^8.735 + 14*t^8.804 - 6*t^8.912 + 4*t^8.981 - t^4.314/y - (2*t^6.373)/y - t^6.657/y - t^6.941/y + t^7.118/y - (2*t^7.225)/y + (4*t^7.402)/y + (5*t^7.686)/y + (7*t^7.971)/y + (5*t^8.255)/y - (3*t^8.432)/y + (4*t^8.539)/y + t^8.823/y - t^4.314*y - 2*t^6.373*y - t^6.657*y - t^6.941*y + t^7.118*y - 2*t^7.225*y + 4*t^7.402*y + 5*t^7.686*y + 7*t^7.971*y + 5*t^8.255*y - 3*t^8.432*y + 4*t^8.539*y + t^8.823*y | (2*t^2.059)/g1^6 + t^2.343/g1 + 2*g1^4*t^2.627 + 2*g1^9*t^2.912 + g1*t^3.657 + g1^6*t^3.941 + (4*t^4.118)/g1^12 + (4*t^4.402)/g1^7 + (5*t^4.686)/g1^2 + t^4.863/g1^20 + 6*g1^3*t^4.971 + 5*g1^8*t^5.255 + 2*g1^13*t^5.539 + (2*t^5.716)/g1^5 + 3*g1^18*t^5.823 - 2*t^6. + (6*t^6.177)/g1^18 + g1^5*t^6.284 + (6*t^6.461)/g1^13 + 3*g1^10*t^6.568 + (10*t^6.745)/g1^8 + (2*t^6.922)/g1^26 + (13*t^7.029)/g1^3 + t^7.206/g1^21 + 10*g1^2*t^7.314 + t^7.49/g1^16 + 8*g1^7*t^7.598 + (2*t^7.775)/g1^11 + 12*g1^12*t^7.882 - (6*t^8.059)/g1^6 + 5*g1^17*t^8.166 + (8*t^8.236)/g1^24 - (4*t^8.343)/g1 + 3*g1^22*t^8.451 + (9*t^8.52)/g1^19 - 3*g1^4*t^8.627 + 4*g1^27*t^8.735 + (14*t^8.804)/g1^14 - 6*g1^9*t^8.912 + (4*t^8.981)/g1^32 - (g1^2*t^4.314)/y - (2*t^6.373)/(g1^4*y) - (g1*t^6.657)/y - (g1^6*t^6.941)/y + t^7.118/(g1^12*y) - (2*g1^11*t^7.225)/y + (4*t^7.402)/(g1^7*y) + (5*t^7.686)/(g1^2*y) + (7*g1^3*t^7.971)/y + (5*g1^8*t^8.255)/y - (3*t^8.432)/(g1^10*y) + (4*g1^13*t^8.539)/y + (g1^18*t^8.823)/y - g1^2*t^4.314*y - (2*t^6.373*y)/g1^4 - g1*t^6.657*y - g1^6*t^6.941*y + (t^7.118*y)/g1^12 - 2*g1^11*t^7.225*y + (4*t^7.402*y)/g1^7 + (5*t^7.686*y)/g1^2 + 7*g1^3*t^7.971*y + 5*g1^8*t^8.255*y - (3*t^8.432*y)/g1^10 + 4*g1^13*t^8.539*y + g1^18*t^8.823*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 |
---|---|---|---|---|---|---|---|---|
4035 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7404 | 0.9536 | 0.7764 | [M:[0.9728, 1.1232, 0.9728, 0.6848, 0.8768, 0.7808, 0.6848, 0.6848], q:[0.7808, 0.4384], qb:[0.5888, 0.4384], phi:[0.4384]] | 3*t^2.054 + t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.658 + 7*t^4.109 + 5*t^4.397 + 7*t^4.685 + t^4.848 + 8*t^4.973 + 5*t^5.261 + 2*t^5.549 + 3*t^5.712 + 3*t^5.837 - 4*t^6. - t^4.315/y - t^4.315*y | detail | {a: 1173671/1585176, c: 755813/792588, M1: 250/257, M2: 866/771, M3: 250/257, M4: 176/257, M5: 676/771, M6: 602/771, M7: 176/257, M8: 176/257, q1: 602/771, q2: 338/771, qb1: 454/771, qb2: 338/771, phi1: 338/771} |
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 |
---|---|---|---|---|---|---|---|---|---|
1056 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. - t^4.312/y - t^4.312*y | detail |