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 |
|---|---|---|---|---|---|---|---|---|---|
| 56969 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.6959 | 0.8757 | 0.7947 | [M:[0.8558, 1.0721, 1.0, 0.7836, 0.732, 1.1238, 0.8762], q:[0.598, 0.5463], qb:[0.3299, 0.6701], phi:[0.4639]] | [M:[[-16], [8], [0], [-24], [-2], [-14], [14]], q:[[-3], [19]], qb:[[-5], [5]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.196 + t^2.351 + t^2.567 + t^2.629 + t^2.784 + t^3. + t^3.216 + t^3.371 + t^4.02 + t^4.175 + 2*t^4.392 + t^4.547 + t^4.67 + t^4.702 + t^4.763 + 2*t^4.825 + t^4.918 + 2*t^4.98 + t^5.041 + 2*t^5.135 + 2*t^5.196 + t^5.257 + t^5.351 + 3*t^5.412 + 4*t^5.567 + t^5.722 + t^5.784 + t^5.939 - t^6. + t^6.216 + t^6.371 + t^6.526 + 2*t^6.588 + 3*t^6.743 + t^6.865 + t^6.898 + 3*t^6.959 + 2*t^7.02 + t^7.053 + t^7.114 + 3*t^7.175 + t^7.237 + t^7.269 + t^7.298 + 3*t^7.33 + 3*t^7.392 + 2*t^7.453 + 2*t^7.485 + 2*t^7.547 + 4*t^7.608 + t^7.67 + 2*t^7.702 + 7*t^7.763 + t^7.886 + 4*t^7.918 + 2*t^7.98 + 2*t^8.041 + t^8.073 + 3*t^8.135 + t^8.29 + t^8.351 + 2*t^8.412 - t^8.474 + t^8.506 - 3*t^8.629 + t^8.69 + t^8.722 + t^8.784 - t^8.845 + t^8.877 + 2*t^8.939 - t^4.392/y - t^6.588/y - t^6.743/y - t^6.959/y + t^7.547/y + t^7.763/y + (2*t^7.825)/y + t^7.918/y + (2*t^7.98)/y + t^8.041/y + t^8.135/y + (3*t^8.196)/y + (2*t^8.351)/y + (2*t^8.412)/y + (3*t^8.567)/y + t^8.629/y + t^8.722/y + t^8.784/y + t^8.845/y - t^4.392*y - t^6.588*y - t^6.743*y - t^6.959*y + t^7.547*y + t^7.763*y + 2*t^7.825*y + t^7.918*y + 2*t^7.98*y + t^8.041*y + t^8.135*y + 3*t^8.196*y + 2*t^8.351*y + 2*t^8.412*y + 3*t^8.567*y + t^8.629*y + t^8.722*y + t^8.784*y + t^8.845*y | t^2.196/g1^2 + t^2.351/g1^24 + t^2.567/g1^16 + g1^14*t^2.629 + t^2.784/g1^8 + t^3. + g1^8*t^3.216 + t^3.371/g1^14 + g1^10*t^4.02 + t^4.175/g1^12 + (2*t^4.392)/g1^4 + t^4.547/g1^26 + g1^34*t^4.67 + t^4.702/g1^48 + t^4.763/g1^18 + 2*g1^12*t^4.825 + t^4.918/g1^40 + (2*t^4.98)/g1^10 + g1^20*t^5.041 + (2*t^5.135)/g1^32 + (2*t^5.196)/g1^2 + g1^28*t^5.257 + t^5.351/g1^24 + 3*g1^6*t^5.412 + (4*t^5.567)/g1^16 + t^5.722/g1^38 + t^5.784/g1^8 + t^5.939/g1^30 - t^6. + g1^8*t^6.216 + t^6.371/g1^14 + t^6.526/g1^36 + (2*t^6.588)/g1^6 + (3*t^6.743)/g1^28 + g1^32*t^6.865 + t^6.898/g1^50 + (3*t^6.959)/g1^20 + 2*g1^10*t^7.02 + t^7.053/g1^72 + t^7.114/g1^42 + (3*t^7.175)/g1^12 + g1^18*t^7.237 + t^7.269/g1^64 + g1^48*t^7.298 + (3*t^7.33)/g1^34 + (3*t^7.392)/g1^4 + 2*g1^26*t^7.453 + (2*t^7.485)/g1^56 + (2*t^7.547)/g1^26 + 4*g1^4*t^7.608 + g1^34*t^7.67 + (2*t^7.702)/g1^48 + (7*t^7.763)/g1^18 + g1^42*t^7.886 + (4*t^7.918)/g1^40 + (2*t^7.98)/g1^10 + 2*g1^20*t^8.041 + t^8.073/g1^62 + (3*t^8.135)/g1^32 + t^8.29/g1^54 + t^8.351/g1^24 + 2*g1^6*t^8.412 - g1^36*t^8.474 + t^8.506/g1^46 - 3*g1^14*t^8.629 + g1^44*t^8.69 + t^8.722/g1^38 + t^8.784/g1^8 - g1^22*t^8.845 + t^8.877/g1^60 + (2*t^8.939)/g1^30 - t^4.392/(g1^4*y) - t^6.588/(g1^6*y) - t^6.743/(g1^28*y) - t^6.959/(g1^20*y) + t^7.547/(g1^26*y) + t^7.763/(g1^18*y) + (2*g1^12*t^7.825)/y + t^7.918/(g1^40*y) + (2*t^7.98)/(g1^10*y) + (g1^20*t^8.041)/y + t^8.135/(g1^32*y) + (3*t^8.196)/(g1^2*y) + (2*t^8.351)/(g1^24*y) + (2*g1^6*t^8.412)/y + (3*t^8.567)/(g1^16*y) + (g1^14*t^8.629)/y + t^8.722/(g1^38*y) + t^8.784/(g1^8*y) + (g1^22*t^8.845)/y - (t^4.392*y)/g1^4 - (t^6.588*y)/g1^6 - (t^6.743*y)/g1^28 - (t^6.959*y)/g1^20 + (t^7.547*y)/g1^26 + (t^7.763*y)/g1^18 + 2*g1^12*t^7.825*y + (t^7.918*y)/g1^40 + (2*t^7.98*y)/g1^10 + g1^20*t^8.041*y + (t^8.135*y)/g1^32 + (3*t^8.196*y)/g1^2 + (2*t^8.351*y)/g1^24 + 2*g1^6*t^8.412*y + (3*t^8.567*y)/g1^16 + g1^14*t^8.629*y + (t^8.722*y)/g1^38 + (t^8.784*y)/g1^8 + g1^22*t^8.845*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 |
|---|---|---|---|---|---|---|---|---|
| 58927 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.684 | 0.855 | 0.8001 | [M:[0.8775, 1.0613, 1.0, 0.8162, 0.7347, 1.1428, 0.8572, 1.1225], q:[0.602, 0.5205], qb:[0.3367, 0.6633], phi:[0.4694]] | t^2.204 + t^2.449 + t^2.572 + t^2.816 + t^3. + t^3.184 + t^3.368 + t^3.428 + t^3.98 + t^4.224 + 2*t^4.408 + t^4.531 + t^4.653 + 2*t^4.776 + t^4.897 + t^4.959 + 2*t^5.02 + t^5.143 + t^5.204 + t^5.265 + 3*t^5.388 + t^5.572 + 3*t^5.632 + t^5.816 + t^5.877 + t^5.939 - t^6. - t^4.408/y - t^4.408*y | detail | |
| 58745 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6762 | 0.8391 | 0.8058 | [M:[0.8569, 1.0716, 1.0, 0.7853, 0.7321, 1.1248, 0.8752, 1.2679], q:[0.5982, 0.545], qb:[0.3303, 0.6697], phi:[0.4642]] | t^2.356 + t^2.571 + t^2.626 + t^2.785 + t^3. + t^3.215 + t^3.374 + t^3.804 + t^4.018 + t^4.178 + t^4.393 + t^4.662 + t^4.712 + t^4.822 + t^4.927 + t^4.982 + t^5.037 + 2*t^5.141 + t^5.196 + t^5.251 + t^5.356 + 2*t^5.411 + 3*t^5.571 + t^5.73 + t^5.785 + t^5.945 - t^6. - t^4.393/y - t^4.393*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55307 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7439 | 0.9365 | 0.7943 | [M:[0.8569, 1.0715, 1.0, 0.7854, 0.9386, 0.9183, 0.6687], q:[0.4949, 0.6481], qb:[0.4336, 0.5664], phi:[0.4642]] | t^2.006 + t^2.356 + t^2.571 + t^2.755 + t^2.785 + t^2.816 + t^3. + t^3.215 + t^4.012 + t^4.178 + 2*t^4.362 + t^4.393 + 2*t^4.577 + t^4.638 + t^4.712 + t^4.761 + 2*t^4.791 + 2*t^4.822 + t^4.927 + t^5.006 + t^5.036 + t^5.111 + 2*t^5.142 + t^5.172 + t^5.221 + t^5.282 + t^5.326 + t^5.356 + t^5.387 + t^5.51 + 4*t^5.571 + t^5.632 + t^5.785 + t^5.969 - 2*t^6. - t^4.393/y - t^4.393*y | detail |