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 |
---|---|---|---|---|---|---|---|---|---|
55190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.671 | 0.8351 | 0.8035 | [M:[1.1682, 1.0375, 0.8318, 0.7943, 1.0841, 0.7477], q:[0.3972, 0.4346], qb:[0.5654, 0.771], phi:[0.458]] | [M:[[8], [-22], [-8], [14], [4], [-12]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.243 + t^2.383 + t^2.495 + t^3. + t^3.112 + t^3.252 + t^3.505 + t^3.869 + t^3.982 + t^4.009 + t^4.261 + t^4.374 + t^4.486 + t^4.626 + t^4.739 + 2*t^4.766 + t^4.878 + t^4.991 + t^5.243 + t^5.356 + t^5.383 + 2*t^5.495 + t^5.635 + 2*t^5.748 - t^6. + t^6.112 + 2*t^6.225 + 2*t^6.252 + 2*t^6.365 + t^6.477 + 2*t^6.505 + t^6.617 + t^6.644 + t^6.729 + t^6.757 + t^6.869 + 2*t^6.982 + 2*t^7.009 + t^7.094 + t^7.122 + 2*t^7.149 + t^7.234 + 2*t^7.261 + t^7.374 + 2*t^7.486 + t^7.514 + t^7.599 + t^7.626 + 2*t^7.739 + t^7.766 + t^7.851 + 2*t^7.878 + t^7.963 + 2*t^7.991 + 2*t^8.018 + t^8.271 + 2*t^8.356 - 2*t^8.383 + 2*t^8.468 + 2*t^8.608 + t^8.635 + t^8.72 + 4*t^8.748 + t^8.775 + 2*t^8.86 + 2*t^8.972 - t^4.374/y - t^6.617/y - t^6.757/y + t^7.261/y - t^7.486/y + t^7.626/y + t^7.739/y + t^7.878/y + t^7.991/y + t^8.131/y + t^8.243/y + t^8.356/y + t^8.383/y + (3*t^8.495)/y + t^8.608/y + t^8.635/y + (2*t^8.748)/y - t^8.86/y + t^8.888/y - t^4.374*y - t^6.617*y - t^6.757*y + t^7.261*y - t^7.486*y + t^7.626*y + t^7.739*y + t^7.878*y + t^7.991*y + t^8.131*y + t^8.243*y + t^8.356*y + t^8.383*y + 3*t^8.495*y + t^8.608*y + t^8.635*y + 2*t^8.748*y - t^8.86*y + t^8.888*y | t^2.243/g1^12 + g1^14*t^2.383 + t^2.495/g1^8 + t^3. + t^3.112/g1^22 + g1^4*t^3.252 + g1^8*t^3.505 + t^3.869/g1^10 + t^3.982/g1^32 + g1^16*t^4.009 + g1^20*t^4.261 + t^4.374/g1^2 + t^4.486/g1^24 + g1^2*t^4.626 + t^4.739/g1^20 + 2*g1^28*t^4.766 + g1^6*t^4.878 + t^4.991/g1^16 + t^5.243/g1^12 + t^5.356/g1^34 + g1^14*t^5.383 + (2*t^5.495)/g1^8 + g1^18*t^5.635 + (2*t^5.748)/g1^4 - t^6. + t^6.112/g1^22 + (2*t^6.225)/g1^44 + 2*g1^4*t^6.252 + (2*t^6.365)/g1^18 + t^6.477/g1^40 + 2*g1^8*t^6.505 + t^6.617/g1^14 + g1^34*t^6.644 + t^6.729/g1^36 + g1^12*t^6.757 + t^6.869/g1^10 + (2*t^6.982)/g1^32 + 2*g1^16*t^7.009 + t^7.094/g1^54 + t^7.122/g1^6 + 2*g1^42*t^7.149 + t^7.234/g1^28 + 2*g1^20*t^7.261 + t^7.374/g1^2 + (2*t^7.486)/g1^24 + g1^24*t^7.514 + t^7.599/g1^46 + g1^2*t^7.626 + (2*t^7.739)/g1^20 + g1^28*t^7.766 + t^7.851/g1^42 + 2*g1^6*t^7.878 + t^7.963/g1^64 + (2*t^7.991)/g1^16 + 2*g1^32*t^8.018 + g1^36*t^8.271 + (2*t^8.356)/g1^34 - 2*g1^14*t^8.383 + (2*t^8.468)/g1^56 + (2*t^8.608)/g1^30 + g1^18*t^8.635 + t^8.72/g1^52 + (4*t^8.748)/g1^4 + g1^44*t^8.775 + (2*t^8.86)/g1^26 + (2*t^8.972)/g1^48 - t^4.374/(g1^2*y) - t^6.617/(g1^14*y) - (g1^12*t^6.757)/y + (g1^20*t^7.261)/y - t^7.486/(g1^24*y) + (g1^2*t^7.626)/y + t^7.739/(g1^20*y) + (g1^6*t^7.878)/y + t^7.991/(g1^16*y) + (g1^10*t^8.131)/y + t^8.243/(g1^12*y) + t^8.356/(g1^34*y) + (g1^14*t^8.383)/y + (3*t^8.495)/(g1^8*y) + t^8.608/(g1^30*y) + (g1^18*t^8.635)/y + (2*t^8.748)/(g1^4*y) - t^8.86/(g1^26*y) + (g1^22*t^8.888)/y - (t^4.374*y)/g1^2 - (t^6.617*y)/g1^14 - g1^12*t^6.757*y + g1^20*t^7.261*y - (t^7.486*y)/g1^24 + g1^2*t^7.626*y + (t^7.739*y)/g1^20 + g1^6*t^7.878*y + (t^7.991*y)/g1^16 + g1^10*t^8.131*y + (t^8.243*y)/g1^12 + (t^8.356*y)/g1^34 + g1^14*t^8.383*y + (3*t^8.495*y)/g1^8 + (t^8.608*y)/g1^30 + g1^18*t^8.635*y + (2*t^8.748*y)/g1^4 - (t^8.86*y)/g1^26 + g1^22*t^8.888*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 |
---|---|---|---|---|---|---|---|---|
56837 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6523 | 0.8141 | 0.8013 | [M:[1.1176, 1.1765, 0.8824, 0.7059, 1.0588, 0.8235], q:[0.3529, 0.5294], qb:[0.4706, 0.7647], phi:[0.4706]] | t^2.118 + t^2.471 + t^2.647 + t^3. + t^3.176 + t^3.353 + t^3.529 + t^3.706 + t^3.882 + t^4.059 + 2*t^4.235 + t^4.412 + 2*t^4.588 + t^4.765 + t^4.941 + 2*t^5.118 + 2*t^5.294 + t^5.471 + 2*t^5.647 + 2*t^5.824 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 12819/19652, c: 7999/9826, M1: 19/17, M2: 20/17, M3: 15/17, M4: 12/17, M5: 18/17, M6: 14/17, q1: 6/17, q2: 9/17, qb1: 8/17, qb2: 13/17, phi1: 8/17} |
56838 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6918 | 0.8765 | 0.7893 | [M:[1.1676, 1.039, 0.8324, 0.7933, 1.0838, 0.7486, 0.6705], q:[0.3967, 0.4357], qb:[0.5643, 0.771], phi:[0.4581]] | t^2.012 + t^2.246 + t^2.38 + t^2.497 + t^3. + t^3.117 + t^3.251 + t^3.503 + t^3.871 + t^4.006 + t^4.023 + 2*t^4.257 + t^4.374 + t^4.392 + t^4.491 + t^4.509 + t^4.626 + t^4.743 + 2*t^4.76 + t^4.877 + t^4.994 + t^5.012 + t^5.129 + t^5.246 + t^5.263 + t^5.363 + t^5.38 + 2*t^5.497 + t^5.514 + t^5.631 + 2*t^5.749 + t^5.883 - t^6. - t^4.374/y - t^4.374*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 |
---|---|---|---|---|---|---|---|---|---|
47003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail |