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 |
|---|---|---|---|---|---|---|---|---|---|
| 2963 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6759 | 0.8533 | 0.7921 | [M:[0.839, 1.0537, 1.161, 0.7316, 1.0537, 0.6879], q:[0.3976, 0.7634], qb:[0.4414, 0.505], phi:[0.4732]] | [M:[[-12], [4], [12], [-20], [4], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.064 + t^2.195 + t^2.517 + t^2.708 + 2*t^3.161 + t^3.483 + t^3.614 + t^3.805 + t^4.068 + 2*t^4.127 + 2*t^4.258 + t^4.39 + t^4.449 + t^4.581 + t^4.712 + t^4.771 + t^4.903 + t^5.034 + 3*t^5.225 + 2*t^5.356 + t^5.415 + t^5.547 + 3*t^5.678 + 2*t^5.869 - t^6. + t^6.131 + 2*t^6.191 + t^6.263 + 5*t^6.322 + t^6.453 + 2*t^6.513 + 2*t^6.585 + 3*t^6.644 + 3*t^6.775 + 2*t^6.835 + t^6.907 + 3*t^6.966 + t^7.157 + 2*t^7.229 + 4*t^7.288 + 2*t^7.419 + t^7.479 + 2*t^7.551 + 3*t^7.61 + t^7.682 + 3*t^7.742 + 2*t^7.873 + 4*t^7.932 - t^8.064 + t^8.123 + t^8.135 + 3*t^8.254 + t^8.326 + 4*t^8.386 + t^8.457 + 2*t^8.517 + 4*t^8.576 + 2*t^8.648 + 2*t^8.708 + 2*t^8.779 + 4*t^8.839 + 3*t^8.898 + t^8.97 - t^4.419/y - t^6.483/y - t^6.614/y + (2*t^7.258)/y + t^7.712/y + t^7.771/y + t^7.903/y + (4*t^8.225)/y + (3*t^8.356)/y + (3*t^8.678)/y + (3*t^8.869)/y - t^4.419*y - t^6.483*y - t^6.614*y + 2*t^7.258*y + t^7.712*y + t^7.771*y + t^7.903*y + 4*t^8.225*y + 3*t^8.356*y + 3*t^8.678*y + 3*t^8.869*y | g1^14*t^2.064 + t^2.195/g1^20 + t^2.517/g1^12 + g1^30*t^2.708 + 2*g1^4*t^3.161 + g1^12*t^3.483 + t^3.614/g1^22 + g1^20*t^3.805 + t^4.068/g1^48 + 2*g1^28*t^4.127 + (2*t^4.258)/g1^6 + t^4.39/g1^40 + g1^36*t^4.449 + g1^2*t^4.581 + t^4.712/g1^32 + g1^44*t^4.771 + g1^10*t^4.903 + t^5.034/g1^24 + 3*g1^18*t^5.225 + (2*t^5.356)/g1^16 + g1^60*t^5.415 + g1^26*t^5.547 + (3*t^5.678)/g1^8 + 2*g1^34*t^5.869 - t^6. + t^6.131/g1^34 + 2*g1^42*t^6.191 + t^6.263/g1^68 + 5*g1^8*t^6.322 + t^6.453/g1^26 + 2*g1^50*t^6.513 + (2*t^6.585)/g1^60 + 3*g1^16*t^6.644 + (3*t^6.775)/g1^18 + 2*g1^58*t^6.835 + t^6.907/g1^52 + 3*g1^24*t^6.966 + g1^66*t^7.157 + (2*t^7.229)/g1^44 + 4*g1^32*t^7.288 + (2*t^7.419)/g1^2 + g1^74*t^7.479 + (2*t^7.551)/g1^36 + 3*g1^40*t^7.61 + t^7.682/g1^70 + 3*g1^6*t^7.742 + (2*t^7.873)/g1^28 + 4*g1^48*t^7.932 - g1^14*t^8.064 + g1^90*t^8.123 + t^8.135/g1^96 + 3*g1^56*t^8.254 + t^8.326/g1^54 + 4*g1^22*t^8.386 + t^8.457/g1^88 + (2*t^8.517)/g1^12 + 4*g1^64*t^8.576 + (2*t^8.648)/g1^46 + 2*g1^30*t^8.708 + (2*t^8.779)/g1^80 + (4*t^8.839)/g1^4 + 3*g1^72*t^8.898 + t^8.97/g1^38 - t^4.419/(g1^2*y) - (g1^12*t^6.483)/y - t^6.614/(g1^22*y) + (2*t^7.258)/(g1^6*y) + t^7.712/(g1^32*y) + (g1^44*t^7.771)/y + (g1^10*t^7.903)/y + (4*g1^18*t^8.225)/y + (3*t^8.356)/(g1^16*y) + (3*t^8.678)/(g1^8*y) + (3*g1^34*t^8.869)/y - (t^4.419*y)/g1^2 - g1^12*t^6.483*y - (t^6.614*y)/g1^22 + (2*t^7.258*y)/g1^6 + (t^7.712*y)/g1^32 + g1^44*t^7.771*y + g1^10*t^7.903*y + 4*g1^18*t^8.225*y + (3*t^8.356*y)/g1^16 + (3*t^8.678*y)/g1^8 + 3*g1^34*t^8.869*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 |
|---|---|---|---|---|---|---|---|---|
| 3561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6437 | 0.7978 | 0.8068 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 1.0667, 0.7333], q:[0.4333, 0.7667], qb:[0.3667, 0.5667], phi:[0.4667]] | t^2.2 + t^2.4 + t^3. + 2*t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1931/3000, c: 4787/6000, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 16/15, M6: 11/15, q1: 13/30, q2: 23/30, qb1: 11/30, qb2: 17/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*y | detail |