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 |
---|---|---|---|---|---|---|---|---|---|
3621 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6803 | 0.8693 | 0.7825 | [M:[0.8, 0.8, 0.7748, 0.8252, 1.2, 0.8, 0.7748], q:[0.8126, 0.3874], qb:[0.4126, 0.7874], phi:[0.4]] | [M:[[0], [0], [2], [-2], [0], [0], [2]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.324 + 4*t^2.4 + t^2.476 + t^3.524 + t^3.6 + 3*t^4.649 + 8*t^4.724 + 13*t^4.8 + 4*t^4.876 + t^4.951 + 2*t^5.849 + 4*t^5.924 - t^6.076 + 4*t^6.973 + 13*t^7.049 + 22*t^7.124 + 24*t^7.2 + 9*t^7.276 + 4*t^7.351 + t^7.427 + 3*t^8.173 + 7*t^8.249 + t^8.324 - 12*t^8.4 - 10*t^8.476 - t^8.551 - t^4.2/y - (2*t^6.524)/y - (3*t^6.6)/y - t^6.676/y + t^7.649/y + (9*t^7.724)/y + (11*t^7.8)/y + (6*t^7.876)/y - t^8.849/y - t^4.2*y - 2*t^6.524*y - 3*t^6.6*y - t^6.676*y + t^7.649*y + 9*t^7.724*y + 11*t^7.8*y + 6*t^7.876*y - t^8.849*y | 2*g1^2*t^2.324 + 4*t^2.4 + t^2.476/g1^2 + g1^2*t^3.524 + t^3.6 + 3*g1^4*t^4.649 + 8*g1^2*t^4.724 + 13*t^4.8 + (4*t^4.876)/g1^2 + t^4.951/g1^4 + 2*g1^4*t^5.849 + 4*g1^2*t^5.924 - t^6.076/g1^2 + 4*g1^6*t^6.973 + 13*g1^4*t^7.049 + 22*g1^2*t^7.124 + 24*t^7.2 + (9*t^7.276)/g1^2 + (4*t^7.351)/g1^4 + t^7.427/g1^6 + 3*g1^6*t^8.173 + 7*g1^4*t^8.249 + g1^2*t^8.324 - 12*t^8.4 - (10*t^8.476)/g1^2 - t^8.551/g1^4 - t^4.2/y - (2*g1^2*t^6.524)/y - (3*t^6.6)/y - t^6.676/(g1^2*y) + (g1^4*t^7.649)/y + (9*g1^2*t^7.724)/y + (11*t^7.8)/y + (6*t^7.876)/(g1^2*y) - (g1^4*t^8.849)/y - t^4.2*y - 2*g1^2*t^6.524*y - 3*t^6.6*y - (t^6.676*y)/g1^2 + g1^4*t^7.649*y + 9*g1^2*t^7.724*y + 11*t^7.8*y + (6*t^7.876*y)/g1^2 - g1^4*t^8.849*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 |
---|---|---|---|---|---|---|---|---|
5335 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6968 | 0.8983 | 0.7756 | [M:[0.8, 0.8, 0.7748, 0.8252, 1.2, 0.8, 0.7748, 0.8], q:[0.8126, 0.3874], qb:[0.4126, 0.7874], phi:[0.4]] | 2*t^2.324 + 5*t^2.4 + t^2.476 + t^3.524 + 3*t^4.649 + 10*t^4.724 + 18*t^4.8 + 5*t^4.876 + t^4.951 + 2*t^5.849 + 3*t^5.924 - 4*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
2996 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6806 | 0.8702 | 0.782 | [M:[0.8175, 0.7825, 0.7825, 0.8175, 1.2, 0.8, 0.7651], q:[0.8, 0.3825], qb:[0.4175, 0.8], phi:[0.4]] | t^2.295 + 2*t^2.348 + 2*t^2.4 + 2*t^2.452 + t^3.495 + t^3.6 + t^4.59 + 2*t^4.643 + 5*t^4.695 + 6*t^4.748 + 8*t^4.8 + 4*t^4.852 + 3*t^4.905 + t^5.79 + 2*t^5.843 + 2*t^5.895 + 2*t^5.948 - t^6. - t^4.2/y - t^4.2*y | detail |