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 |
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6413 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$ | 0.7176 | 0.9228 | 0.7777 | [M:[1.0071, 0.8188, 1.0071, 0.8188, 1.1812, 0.7247, 0.7247, 0.7247, 0.9929], q:[0.5835, 0.4094], qb:[0.4094, 0.7718], phi:[0.4565]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8], [8], [22]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 | {a: 4258595/5934096, c: 2737993/2967048, M1: 1840/1827, M2: 1496/1827, M3: 1840/1827, M4: 1496/1827, M5: 2158/1827, M6: 1324/1827, M7: 1324/1827, M8: 1324/1827, M9: 1814/1827, q1: 1066/1827, q2: 748/1827, qb1: 748/1827, qb2: 470/609, phi1: 278/609} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{9}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{9}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{9}^{2}$ | ${}M_{3}M_{9}$ | -2 | 3*t^2.174 + 2*t^2.456 + t^2.739 + t^2.979 + t^3.021 + t^3.544 + t^4.066 + 8*t^4.348 + 6*t^4.631 + t^4.87 + 6*t^4.913 + 3*t^5.153 + 5*t^5.195 + 2*t^5.435 + t^5.478 + 4*t^5.718 + t^5.76 + t^5.957 - 2*t^6. + t^6.043 + 3*t^6.24 - t^6.282 + 16*t^6.522 + 14*t^6.805 - 2*t^6.847 + 4*t^7.044 + 14*t^7.087 + 9*t^7.327 + 12*t^7.369 + 6*t^7.609 + 5*t^7.652 + t^7.849 + 9*t^7.892 + 4*t^7.934 + 3*t^8.131 - 8*t^8.174 + 4*t^8.217 + 9*t^8.414 - 9*t^8.456 + 2*t^8.499 + 27*t^8.696 - 6*t^8.739 + t^8.782 + 2*t^8.936 + 21*t^8.979 - t^4.369/y - (3*t^6.544)/y - t^6.826/y - t^7.108/y + (4*t^7.348)/y - t^7.391/y + (7*t^7.631)/y + (5*t^7.913)/y + (3*t^8.153)/y + (8*t^8.195)/y + (2*t^8.435)/y + (2*t^8.478)/y - (2*t^8.718)/y + t^8.76/y - t^4.369*y - 3*t^6.544*y - t^6.826*y - t^7.108*y + 4*t^7.348*y - t^7.391*y + 7*t^7.631*y + 5*t^7.913*y + 3*t^8.153*y + 8*t^8.195*y + 2*t^8.435*y + 2*t^8.478*y - 2*t^8.718*y + t^8.76*y | 3*g1^8*t^2.174 + (2*t^2.456)/g1^2 + t^2.739/g1^12 + g1^22*t^2.979 + t^3.021/g1^22 + g1^2*t^3.544 + g1^26*t^4.066 + 8*g1^16*t^4.348 + 6*g1^6*t^4.631 + g1^40*t^4.87 + (6*t^4.913)/g1^4 + 3*g1^30*t^5.153 + (5*t^5.195)/g1^14 + 2*g1^20*t^5.435 + t^5.478/g1^24 + 4*g1^10*t^5.718 + t^5.76/g1^34 + g1^44*t^5.957 - 2*t^6. + t^6.043/g1^44 + 3*g1^34*t^6.24 - t^6.282/g1^10 + 16*g1^24*t^6.522 + 14*g1^14*t^6.805 - (2*t^6.847)/g1^30 + 4*g1^48*t^7.044 + 14*g1^4*t^7.087 + 9*g1^38*t^7.327 + (12*t^7.369)/g1^6 + 6*g1^28*t^7.609 + (5*t^7.652)/g1^16 + g1^62*t^7.849 + 9*g1^18*t^7.892 + (4*t^7.934)/g1^26 + 3*g1^52*t^8.131 - 8*g1^8*t^8.174 + (4*t^8.217)/g1^36 + 9*g1^42*t^8.414 - (9*t^8.456)/g1^2 + (2*t^8.499)/g1^46 + 27*g1^32*t^8.696 - (6*t^8.739)/g1^12 + t^8.782/g1^56 + 2*g1^66*t^8.936 + 21*g1^22*t^8.979 - t^4.369/(g1^6*y) - (3*g1^2*t^6.544)/y - t^6.826/(g1^8*y) - t^7.108/(g1^18*y) + (4*g1^16*t^7.348)/y - t^7.391/(g1^28*y) + (7*g1^6*t^7.631)/y + (5*t^7.913)/(g1^4*y) + (3*g1^30*t^8.153)/y + (8*t^8.195)/(g1^14*y) + (2*g1^20*t^8.435)/y + (2*t^8.478)/(g1^24*y) - (2*g1^10*t^8.718)/y + t^8.76/(g1^34*y) - (t^4.369*y)/g1^6 - 3*g1^2*t^6.544*y - (t^6.826*y)/g1^8 - (t^7.108*y)/g1^18 + 4*g1^16*t^7.348*y - (t^7.391*y)/g1^28 + 7*g1^6*t^7.631*y + (5*t^7.913*y)/g1^4 + 3*g1^30*t^8.153*y + (8*t^8.195*y)/g1^14 + 2*g1^20*t^8.435*y + (2*t^8.478*y)/g1^24 - 2*g1^10*t^8.718*y + (t^8.76*y)/g1^34 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4774 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7193 | 0.9229 | 0.7794 | [M:[0.9581, 0.8144, 0.9581, 0.8144, 1.1856, 0.7425, 0.7425, 0.7425], q:[0.6347, 0.4072], qb:[0.4072, 0.7784], phi:[0.4431]] | 3*t^2.228 + 2*t^2.443 + t^2.659 + 2*t^2.874 + t^3.557 + t^4.24 + 8*t^4.455 + 6*t^4.671 + 6*t^4.886 + 8*t^5.102 + t^5.138 + 3*t^5.317 + 2*t^5.533 + 3*t^5.748 + 3*t^5.784 - 3*t^6. - t^4.329/y - t^4.329*y | detail |