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 |
|---|---|---|---|---|---|---|---|---|---|
| 1065 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ | 0.6672 | 0.8135 | 0.8202 | [M:[0.9793, 1.1203, 0.9793, 0.6805, 0.7801, 1.3195], q:[0.7801, 0.4398], qb:[0.5809, 0.4398], phi:[0.4398]] | [M:[[9], [-4], [9], [-6], [-1], [6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}$ | -3 | t^2.34 + t^2.639 + 2*t^2.938 + t^3.361 + t^3.66 + 3*t^3.959 + t^4.083 + 2*t^4.382 + t^4.68 + t^4.805 + t^4.979 + 3*t^5.278 + t^5.701 + 3*t^5.876 - 3*t^6. + 4*t^6.299 - t^6.423 + 4*t^6.598 + 2*t^6.722 + 4*t^6.896 + 2*t^7.021 + t^7.145 + 2*t^7.32 + t^7.444 + 4*t^7.618 + t^7.743 + 6*t^7.917 + 2*t^8.041 + t^8.166 + 3*t^8.216 - t^8.34 + t^8.465 + t^8.763 + 4*t^8.813 + t^8.888 - 5*t^8.938 - t^4.32/y - t^6.66/y - (2*t^7.257)/y + (2*t^7.382)/y + (2*t^7.979)/y + (2*t^8.278)/y + (2*t^8.577)/y + t^8.701/y + t^8.876/y - t^4.32*y - t^6.66*y - 2*t^7.257*y + 2*t^7.382*y + 2*t^7.979*y + 2*t^8.278*y + 2*t^8.577*y + t^8.701*y + t^8.876*y | t^2.34/g1 + g1^4*t^2.639 + 2*g1^9*t^2.938 + t^3.361/g1^4 + g1*t^3.66 + 3*g1^6*t^3.959 + t^4.083/g1^12 + (2*t^4.382)/g1^7 + t^4.68/g1^2 + t^4.805/g1^20 + g1^3*t^4.979 + 3*g1^8*t^5.278 + t^5.701/g1^5 + 3*g1^18*t^5.876 - 3*t^6. + 4*g1^5*t^6.299 - t^6.423/g1^13 + 4*g1^10*t^6.598 + (2*t^6.722)/g1^8 + 4*g1^15*t^6.896 + (2*t^7.021)/g1^3 + t^7.145/g1^21 + 2*g1^2*t^7.32 + t^7.444/g1^16 + 4*g1^7*t^7.618 + t^7.743/g1^11 + 6*g1^12*t^7.917 + (2*t^8.041)/g1^6 + t^8.166/g1^24 + 3*g1^17*t^8.216 - t^8.34/g1 + t^8.465/g1^19 + t^8.763/g1^14 + 4*g1^27*t^8.813 + t^8.888/g1^32 - 5*g1^9*t^8.938 - (g1^2*t^4.32)/y - (g1*t^6.66)/y - (2*g1^11*t^7.257)/y + (2*t^7.382)/(g1^7*y) + (2*g1^3*t^7.979)/y + (2*g1^8*t^8.278)/y + (2*g1^13*t^8.577)/y + t^8.701/(g1^5*y) + (g1^18*t^8.876)/y - g1^2*t^4.32*y - g1*t^6.66*y - 2*g1^11*t^7.257*y + (2*t^7.382*y)/g1^7 + 2*g1^3*t^7.979*y + 2*g1^8*t^8.278*y + 2*g1^13*t^8.577*y + (t^8.701*y)/g1^5 + g1^18*t^8.876*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 |
|---|---|---|---|---|---|---|---|---|
| 1658 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6848 | 0.8448 | 0.8106 | [M:[0.9816, 1.1193, 0.9816, 0.6789, 0.7798, 1.3211, 0.7798], q:[0.7798, 0.4404], qb:[0.578, 0.4404], phi:[0.4404]] | 2*t^2.339 + t^2.642 + 2*t^2.945 + t^3.358 + 3*t^3.963 + t^4.073 + 2*t^4.376 + 3*t^4.679 + t^4.789 + 2*t^4.982 + 5*t^5.284 + 2*t^5.697 + 3*t^5.89 - 4*t^6. - t^4.321/y - t^4.321*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 |
|---|---|---|---|---|---|---|---|---|---|
| 665 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.688 | 0.8543 | 0.8054 | [M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], phi:[0.4403]] | t^2.038 + t^2.34 + t^2.642 + 2*t^2.943 + t^3.358 + t^3.66 + 2*t^3.962 + 2*t^4.075 + 3*t^4.377 + 2*t^4.679 + t^4.792 + 3*t^4.981 + 3*t^5.283 + t^5.396 + 2*t^5.698 + 3*t^5.887 - t^6. - t^4.321/y - t^4.321*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |