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 |
---|---|---|---|---|---|---|---|---|---|
4384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6579 | 0.8295 | 0.7932 | [M:[0.8696, 1.0311, 1.0682, 0.8074, 1.1304, 1.1926, 0.8696, 0.7081], q:[0.7578, 0.3726], qb:[0.4348, 0.497], phi:[0.4844]] | [M:[[14], [12], [-38], [-10], [-14], [10], [14], [16]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.124 + t^2.422 + 2*t^2.609 + t^3.093 + t^3.205 + t^3.578 + t^3.689 + t^3.764 + 2*t^4.062 + 2*t^4.249 + t^4.435 + t^4.547 + 2*t^4.733 + t^4.844 + 2*t^5.031 + 4*t^5.218 + t^5.329 + t^5.516 + 3*t^5.702 + t^5.813 + t^5.889 - 2*t^6. + t^6.111 + 3*t^6.187 + 2*t^6.298 + 3*t^6.373 + t^6.409 + t^6.56 + 5*t^6.671 + 5*t^6.858 + t^6.893 + 2*t^7.044 - t^7.08 + 2*t^7.156 + t^7.267 + 5*t^7.342 + t^7.378 + t^7.453 + t^7.529 + 3*t^7.64 + t^7.751 + 7*t^7.827 + t^7.938 + 2*t^8.013 + t^8.124 + t^8.2 - t^8.236 + 6*t^8.311 - t^8.422 + 5*t^8.498 + 2*t^8.533 - 5*t^8.609 + 2*t^8.684 + t^8.72 + 5*t^8.795 + t^8.871 + t^8.907 + 6*t^8.982 - t^4.453/y - t^6.578/y - t^7.062/y + t^7.249/y + t^7.547/y - t^7.658/y + (2*t^7.733)/y + t^7.844/y + (2*t^8.031)/y + (2*t^8.218)/y + (2*t^8.329)/y + t^8.516/y + t^8.627/y + (2*t^8.702)/y + (3*t^8.813)/y + t^8.889/y - t^4.453*y - t^6.578*y - t^7.062*y + t^7.249*y + t^7.547*y - t^7.658*y + 2*t^7.733*y + t^7.844*y + 2*t^8.031*y + 2*t^8.218*y + 2*t^8.329*y + t^8.516*y + t^8.627*y + 2*t^8.702*y + 3*t^8.813*y + t^8.889*y | g1^16*t^2.124 + t^2.422/g1^10 + 2*g1^14*t^2.609 + g1^12*t^3.093 + t^3.205/g1^38 + g1^10*t^3.578 + t^3.689/g1^40 + g1^34*t^3.764 + 2*g1^8*t^4.062 + 2*g1^32*t^4.249 + g1^56*t^4.435 + g1^6*t^4.547 + 2*g1^30*t^4.733 + t^4.844/g1^20 + 2*g1^4*t^5.031 + 4*g1^28*t^5.218 + t^5.329/g1^22 + g1^2*t^5.516 + 3*g1^26*t^5.702 + t^5.813/g1^24 + g1^50*t^5.889 - 2*t^6. + t^6.111/g1^50 + 3*g1^24*t^6.187 + (2*t^6.298)/g1^26 + 3*g1^48*t^6.373 + t^6.409/g1^76 + g1^72*t^6.56 + 5*g1^22*t^6.671 + 5*g1^46*t^6.858 + t^6.893/g1^78 + 2*g1^70*t^7.044 - t^7.08/g1^54 + 2*g1^20*t^7.156 + t^7.267/g1^30 + 5*g1^44*t^7.342 + t^7.378/g1^80 + t^7.453/g1^6 + g1^68*t^7.529 + 3*g1^18*t^7.64 + t^7.751/g1^32 + 7*g1^42*t^7.827 + t^7.938/g1^8 + 2*g1^66*t^8.013 + g1^16*t^8.124 + g1^90*t^8.2 - t^8.236/g1^34 + 6*g1^40*t^8.311 - t^8.422/g1^10 + 5*g1^64*t^8.498 + (2*t^8.533)/g1^60 - 5*g1^14*t^8.609 + 2*g1^88*t^8.684 + t^8.72/g1^36 + 5*g1^38*t^8.795 + g1^112*t^8.871 + t^8.907/g1^12 + 6*g1^62*t^8.982 - t^4.453/(g1^6*y) - (g1^10*t^6.578)/y - (g1^8*t^7.062)/y + (g1^32*t^7.249)/y + (g1^6*t^7.547)/y - t^7.658/(g1^44*y) + (2*g1^30*t^7.733)/y + t^7.844/(g1^20*y) + (2*g1^4*t^8.031)/y + (2*g1^28*t^8.218)/y + (2*t^8.329)/(g1^22*y) + (g1^2*t^8.516)/y + t^8.627/(g1^48*y) + (2*g1^26*t^8.702)/y + (3*t^8.813)/(g1^24*y) + (g1^50*t^8.889)/y - (t^4.453*y)/g1^6 - g1^10*t^6.578*y - g1^8*t^7.062*y + g1^32*t^7.249*y + g1^6*t^7.547*y - (t^7.658*y)/g1^44 + 2*g1^30*t^7.733*y + (t^7.844*y)/g1^20 + 2*g1^4*t^8.031*y + 2*g1^28*t^8.218*y + (2*t^8.329*y)/g1^22 + g1^2*t^8.516*y + (t^8.627*y)/g1^48 + 2*g1^26*t^8.702*y + (3*t^8.813*y)/g1^24 + g1^50*t^8.889*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 |
---|---|---|---|---|---|---|---|---|
5867 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$ | 0.6466 | 0.8094 | 0.7988 | [M:[0.8761, 1.0367, 1.0505, 0.8028, 1.1239, 1.1972, 0.8761, 0.7156, 1.1239], q:[0.7592, 0.3647], qb:[0.4381, 0.5114], phi:[0.4817]] | t^2.147 + t^2.408 + t^2.628 + t^3.11 + t^3.151 + t^3.372 + t^3.592 + t^3.633 + t^3.812 + 2*t^4.073 + 2*t^4.293 + t^4.514 + t^4.555 + t^4.775 + t^4.817 + t^5.037 + 2*t^5.257 + t^5.298 + 2*t^5.518 + 2*t^5.738 + t^5.78 + t^5.959 - t^6. - t^4.445/y - t^4.445*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6376 | 0.7908 | 0.8063 | [M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.418 + 2*t^2.615 + t^3.099 + t^3.187 + t^3.582 + t^3.671 + t^3.78 + t^3.868 + 2*t^4.066 + t^4.263 + t^4.461 + t^4.835 + 2*t^5.033 + 3*t^5.23 + t^5.516 + 2*t^5.714 - 2*t^6. - t^4.451/y - t^4.451*y | detail |