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 |
---|---|---|---|---|---|---|---|---|---|
6141 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.713 | 0.89 | 0.8011 | [M:[1.0836, 0.7492, 0.8731, 0.9597, 1.0403, 0.7926, 1.1269, 1.0403, 0.7926], q:[0.5418, 0.3746], qb:[0.5851, 0.6656], phi:[0.4582]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [11], [-7]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{9}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{9}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$ | ${}$ | -3 | t^2.248 + 2*t^2.378 + t^2.749 + 2*t^3.121 + t^3.251 + t^3.381 + t^4.124 + t^4.254 + 2*t^4.495 + 3*t^4.625 + 4*t^4.755 + t^4.885 + 2*t^4.997 + 2*t^5.127 + 2*t^5.368 + 5*t^5.498 + 2*t^5.628 + t^5.758 + t^5.87 - 3*t^6. + 2*t^6.242 + 2*t^6.372 + 3*t^6.502 + 2*t^6.632 + t^6.743 + t^6.762 + 3*t^6.873 + 5*t^7.003 + 6*t^7.133 + 3*t^7.245 + 2*t^7.263 + 3*t^7.375 + 3*t^7.505 + 3*t^7.616 + t^7.635 + 6*t^7.746 + 7*t^7.876 + 4*t^8.006 + 2*t^8.118 + 2*t^8.136 - 2*t^8.248 + t^8.266 - 7*t^8.378 + 3*t^8.489 - t^8.508 + 5*t^8.619 + t^8.749 + 4*t^8.879 + 2*t^8.991 - t^4.375/y - t^6.622/y - (2*t^6.752)/y + t^7.254/y - t^7.495/y + (2*t^7.625)/y + t^7.755/y + (3*t^7.997)/y + (3*t^8.127)/y + (2*t^8.368)/y + (5*t^8.498)/y + (3*t^8.628)/y + (2*t^8.758)/y + t^8.87/y - t^4.375*y - t^6.622*y - 2*t^6.752*y + t^7.254*y - t^7.495*y + 2*t^7.625*y + t^7.755*y + 3*t^7.997*y + 3*t^8.127*y + 2*t^8.368*y + 5*t^8.498*y + 3*t^8.628*y + 2*t^8.758*y + t^8.87*y | g1^6*t^2.248 + (2*t^2.378)/g1^7 + g1^2*t^2.749 + 2*g1^11*t^3.121 + t^3.251/g1^2 + t^3.381/g1^15 + g1^3*t^4.124 + t^4.254/g1^10 + 2*g1^12*t^4.495 + (3*t^4.625)/g1 + (4*t^4.755)/g1^14 + t^4.885/g1^27 + 2*g1^8*t^4.997 + (2*t^5.127)/g1^5 + 2*g1^17*t^5.368 + 5*g1^4*t^5.498 + (2*t^5.628)/g1^9 + t^5.758/g1^22 + g1^13*t^5.87 - 3*t^6. + 2*g1^22*t^6.242 + 2*g1^9*t^6.372 + (3*t^6.502)/g1^4 + (2*t^6.632)/g1^17 + g1^18*t^6.743 + t^6.762/g1^30 + 3*g1^5*t^6.873 + (5*t^7.003)/g1^8 + (6*t^7.133)/g1^21 + 3*g1^14*t^7.245 + (2*t^7.263)/g1^34 + 3*g1*t^7.375 + (3*t^7.505)/g1^12 + 3*g1^23*t^7.616 + t^7.635/g1^25 + 6*g1^10*t^7.746 + (7*t^7.876)/g1^3 + (4*t^8.006)/g1^16 + 2*g1^19*t^8.118 + (2*t^8.136)/g1^29 - 2*g1^6*t^8.248 + t^8.266/g1^42 - (7*t^8.378)/g1^7 + 3*g1^28*t^8.489 - t^8.508/g1^20 + 5*g1^15*t^8.619 + g1^2*t^8.749 + (4*t^8.879)/g1^11 + 2*g1^24*t^8.991 - (g1*t^4.375)/y - (g1^7*t^6.622)/y - (2*t^6.752)/(g1^6*y) + t^7.254/(g1^10*y) - (g1^12*t^7.495)/y + (2*t^7.625)/(g1*y) + t^7.755/(g1^14*y) + (3*g1^8*t^7.997)/y + (3*t^8.127)/(g1^5*y) + (2*g1^17*t^8.368)/y + (5*g1^4*t^8.498)/y + (3*t^8.628)/(g1^9*y) + (2*t^8.758)/(g1^22*y) + (g1^13*t^8.87)/y - g1*t^4.375*y - g1^7*t^6.622*y - (2*t^6.752*y)/g1^6 + (t^7.254*y)/g1^10 - g1^12*t^7.495*y + (2*t^7.625*y)/g1 + (t^7.755*y)/g1^14 + 3*g1^8*t^7.997*y + (3*t^8.127*y)/g1^5 + 2*g1^17*t^8.368*y + 5*g1^4*t^8.498*y + (3*t^8.628*y)/g1^9 + (2*t^8.758*y)/g1^22 + g1^13*t^8.87*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
4607 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6962 | 0.8605 | 0.8091 | [M:[1.0856, 0.7431, 0.8576, 0.9711, 1.0289, 0.7998, 1.1424, 1.0289], q:[0.5428, 0.3715], qb:[0.5995, 0.6574], phi:[0.4572]] | t^2.229 + t^2.399 + t^2.743 + 2*t^3.087 + t^3.257 + t^3.427 + t^3.601 + t^4.115 + t^4.285 + 2*t^4.458 + 2*t^4.628 + 2*t^4.799 + t^4.969 + 2*t^4.972 + t^5.142 + 2*t^5.316 + 3*t^5.486 + t^5.656 + 2*t^5.83 - 2*t^6. - t^4.372/y - t^4.372*y | detail |