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 |
---|---|---|---|---|---|---|---|---|---|
58339 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.2548 | 1.4595 | 0.8597 | [X:[1.4379, 1.3621], M:[0.9621, 0.9621], q:[0.4218, 0.3461], qb:[0.2161, 0.6161], phi:[0.4]] | [X:[[0, -1], [0, 1]], M:[[0, 1], [0, 1]], q:[[-1, -1], [-1, 1]], qb:[[1, 0], [1, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}$ | -4 | t^2.4 + 4*t^2.89 + t^3.6 + 3*t^4.09 + 3*t^4.31 + t^4.34 + t^4.54 + t^4.77 + 5*t^5.29 + t^5.51 + 3*t^5.54 + t^5.74 + 9*t^5.77 + t^5.97 - 4*t^6. - t^6.23 - t^6.46 + 6*t^6.49 + 3*t^6.71 + 3*t^6.74 + 2*t^6.94 + 11*t^6.97 + 2*t^7.17 + 7*t^7.2 + 2*t^7.23 + t^7.4 + 2*t^7.43 - 2*t^7.46 + 2*t^7.69 - t^7.88 + 2*t^7.91 + 3*t^7.94 + t^8.14 + 18*t^8.17 + t^8.37 + 4*t^8.4 + 10*t^8.43 + 8*t^8.63 + 14*t^8.66 + t^8.69 + 2*t^8.86 - 17*t^8.89 - t^4.2/y - t^5.4/y - t^6.6/y - (3*t^7.09)/y + t^7.31/y - t^7.8/y - t^8.29/y - t^8.51/y + (6*t^8.77)/y - t^4.2*y - t^5.4*y - t^6.6*y - 3*t^7.09*y + t^7.31*y - t^7.8*y - t^8.29*y - t^8.51*y + 6*t^8.77*y | t^2.4 + 4*g2*t^2.89 + t^3.6 + 3*g2*t^4.09 + (3*t^4.31)/g2 + g1^3*t^4.34 + (g2*t^4.54)/g1^3 + t^4.77/(g1^3*g2) + 5*g2*t^5.29 + t^5.51/g2 + 3*g1^3*t^5.54 + (g2*t^5.74)/g1^3 + 9*g2^2*t^5.77 + t^5.97/(g1^3*g2) - 4*t^6. - t^6.23/g2^2 - t^6.46/g1^3 + 6*g2*t^6.49 + (2*t^6.71)/g2 + (g2^3*t^6.71)/g1^3 + 3*g1^3*t^6.74 + (2*g2*t^6.94)/g1^3 + 11*g2^2*t^6.97 + (2*t^7.17)/(g1^3*g2) + 7*t^7.2 + 2*g1^3*g2*t^7.23 + t^7.4/(g1^3*g2^3) - t^7.43/g2^2 + (3*g2^2*t^7.43)/g1^3 - (2*g1^3*t^7.46)/g2 + 2*g2*t^7.69 - t^7.88/(g1^3*g2^2) + (2*t^7.91)/g2 + 3*g1^3*t^7.94 + (g2*t^8.14)/g1^3 + 18*g2^2*t^8.17 + t^8.37/(g1^3*g2) + 4*t^8.4 + 10*g1^3*g2*t^8.43 + (4*t^8.63)/g2^2 + (4*g2^2*t^8.63)/g1^3 - (2*g1^3*t^8.66)/g2 + 16*g2^3*t^8.66 + g1^6*t^8.69 + (2*t^8.86)/g1^3 - 17*g2*t^8.89 - t^4.2/y - t^5.4/y - t^6.6/y - (3*g2*t^7.09)/y + t^7.31/(g2*y) - t^7.8/y - (g2*t^8.29)/y - t^8.51/(g2*y) + (6*g2^2*t^8.77)/y - t^4.2*y - t^5.4*y - t^6.6*y - 3*g2*t^7.09*y + (t^7.31*y)/g2 - t^7.8*y - g2*t^8.29*y - (t^8.51*y)/g2 + 6*g2^2*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
61091 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.2392 | 1.4435 | 0.8585 | [X:[1.4344, 1.3656], M:[0.9656, 0.9656], q:[0.3677, 0.299], qb:[0.2667, 0.6667], phi:[0.4]] | t^2.4 + 4*t^2.9 + t^3.6 + 4*t^4.1 + 4*t^4.3 + t^4.8 + 6*t^5.3 + 2*t^5.5 + 9*t^5.79 - 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57342 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.2521 | 1.4533 | 0.8616 | [X:[1.4191, 1.3809], M:[0.9809], q:[0.4026, 0.3644], qb:[0.2165, 0.6165], phi:[0.4]] | t^2.4 + 3*t^2.943 + t^3.057 + t^3.6 + 3*t^4.143 + 3*t^4.257 + t^4.349 + t^4.594 + t^4.709 + 4*t^5.343 + 2*t^5.457 + 3*t^5.549 + t^5.794 + 5*t^5.885 + t^5.909 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |