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 |
|---|---|---|---|---|---|---|---|---|---|
| 1606 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6187 | 0.7598 | 0.8142 | [M:[1.1749, 1.2167, 0.7414, 0.8251, 0.8251, 0.7414, 1.1749], q:[0.8042, 0.4544], qb:[0.3707, 0.8042], phi:[0.3916]] | [M:[[-6], [4], [-14], [6], [6], [-14], [-6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. + 2*t^6.126 - t^6.251 + t^6.377 + 4*t^6.673 + t^6.798 + 4*t^6.924 + 4*t^7.049 + 2*t^7.175 + t^7.551 + t^7.802 + 3*t^7.848 + 4*t^7.973 + 4*t^8.099 - 3*t^8.224 + 3*t^8.35 - 3*t^8.475 - t^8.726 + t^8.852 + 5*t^8.897 - t^4.175/y - (2*t^6.399)/y + t^7.449/y + (2*t^7.7)/y + (2*t^7.951)/y - t^8.623/y + (4*t^8.749)/y + (5*t^8.874)/y - t^4.175*y - 2*t^6.399*y + t^7.449*y + 2*t^7.7*y + 2*t^7.951*y - t^8.623*y + 4*t^8.749*y + 5*t^8.874*y | (2*t^2.224)/g1^14 + g1^6*t^2.475 + t^3.399/g1^16 + (2*t^3.525)/g1^6 + 2*g1^4*t^3.65 + g1^24*t^3.901 + (3*t^4.449)/g1^28 + (2*t^4.7)/g1^8 + g1^2*t^4.825 + g1^12*t^4.951 + (2*t^5.623)/g1^30 + (3*t^5.749)/g1^20 + (3*t^5.874)/g1^10 - t^6. + 2*g1^10*t^6.126 - g1^20*t^6.251 + g1^30*t^6.377 + (4*t^6.673)/g1^42 + t^6.798/g1^32 + (4*t^6.924)/g1^22 + (4*t^7.049)/g1^12 + (2*t^7.175)/g1^2 + g1^28*t^7.551 + g1^48*t^7.802 + (3*t^7.848)/g1^44 + (4*t^7.973)/g1^34 + (4*t^8.099)/g1^24 - (3*t^8.224)/g1^14 + (3*t^8.35)/g1^4 - 3*g1^6*t^8.475 - g1^26*t^8.726 + g1^36*t^8.852 + (5*t^8.897)/g1^56 - t^4.175/(g1^2*y) - (2*t^6.399)/(g1^16*y) + t^7.449/(g1^28*y) + (2*t^7.7)/(g1^8*y) + (2*g1^12*t^7.951)/y - t^8.623/(g1^30*y) + (4*t^8.749)/(g1^20*y) + (5*t^8.874)/(g1^10*y) - (t^4.175*y)/g1^2 - (2*t^6.399*y)/g1^16 + (t^7.449*y)/g1^28 + (2*t^7.7*y)/g1^8 + 2*g1^12*t^7.951*y - (t^8.623*y)/g1^30 + (4*t^8.749*y)/g1^20 + (5*t^8.874*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4088 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6393 | 0.8004 | 0.7988 | [M:[1.1721, 1.2186, 0.7348, 0.8279, 0.8279, 0.7348, 1.1721, 0.6882], q:[0.8047, 0.4605], qb:[0.3674, 0.8047], phi:[0.3907]] | t^2.065 + 2*t^2.204 + t^2.484 + t^3.376 + 2*t^3.516 + 2*t^3.656 + t^4.129 + 2*t^4.269 + 3*t^4.409 + t^4.549 + 2*t^4.688 + t^4.828 + t^4.968 + t^5.441 + 4*t^5.581 + 5*t^5.721 + 3*t^5.86 - t^6. - t^4.172/y - t^4.172*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1029 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.6337 | 0.7854 | 0.8068 | [M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.253 + 2*t^2.463 + t^3.432 + t^3.537 + 2*t^3.642 + t^3.853 + 3*t^4.505 + 4*t^4.716 + t^4.821 + 3*t^4.926 + 2*t^5.684 + t^5.789 + 4*t^5.895 - t^6. - t^4.179/y - t^4.179*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |