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 |
|---|---|---|---|---|---|---|---|---|---|
| 57398 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4412 | 1.6237 | 0.8876 | [X:[1.3465], q:[0.5315, 0.5709], qb:[0.4488, 0.4883], phi:[0.3268]] | [X:[[6]], q:[[-11], [7]], qb:[[2], [20]], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 2*t^2.941 + 2*t^3.059 + t^3.177 + t^3.921 + 3*t^4.039 + t^4.158 + t^4.901 + 2*t^5.02 + 2*t^5.138 + t^5.256 + 2*t^5.882 + t^6. + 4*t^6.118 + 3*t^6.237 + t^6.355 + t^6.862 + 7*t^6.98 + 7*t^7.099 + 5*t^7.217 + 2*t^7.335 + t^7.724 + t^7.842 + 5*t^7.961 + 9*t^8.079 + 7*t^8.197 + 4*t^8.315 + t^8.434 - t^8.704 + t^8.823 + t^8.941 + t^8.941/y^2 - t^3.98/y - t^4.961/y - (2*t^6.921)/y - (2*t^7.039)/y - t^7.158/y - (2*t^7.901)/y - (2*t^8.02)/y - t^8.138/y - t^3.98*y - t^4.961*y - 2*t^6.921*y - 2*t^7.039*y - t^7.158*y - 2*t^7.901*y - 2*t^8.02*y - t^8.138*y + t^8.941*y^2 | (2*t^2.941)/g1^9 + 2*g1^9*t^3.059 + g1^27*t^3.177 + t^3.921/g1^12 + 3*g1^6*t^4.039 + g1^24*t^4.158 + t^4.901/g1^15 + 2*g1^3*t^5.02 + 2*g1^21*t^5.138 + g1^39*t^5.256 + (2*t^5.882)/g1^18 + t^6. + 4*g1^18*t^6.118 + 3*g1^36*t^6.237 + g1^54*t^6.355 + t^6.862/g1^21 + (7*t^6.98)/g1^3 + 7*g1^15*t^7.099 + 5*g1^33*t^7.217 + 2*g1^51*t^7.335 + t^7.724/g1^42 + t^7.842/g1^24 + (5*t^7.961)/g1^6 + 9*g1^12*t^8.079 + 7*g1^30*t^8.197 + 4*g1^48*t^8.315 + g1^66*t^8.434 - t^8.704/g1^45 + t^8.823/g1^27 + t^8.941/g1^9 + t^8.941/(g1^9*y^2) - t^3.98/(g1^3*y) - t^4.961/(g1^6*y) - (2*t^6.921)/(g1^12*y) - (2*g1^6*t^7.039)/y - (g1^24*t^7.158)/y - (2*t^7.901)/(g1^15*y) - (2*g1^3*t^8.02)/y - (g1^21*t^8.138)/y - (t^3.98*y)/g1^3 - (t^4.961*y)/g1^6 - (2*t^6.921*y)/g1^12 - 2*g1^6*t^7.039*y - g1^24*t^7.158*y - (2*t^7.901*y)/g1^15 - 2*g1^3*t^8.02*y - g1^21*t^8.138*y + (t^8.941*y^2)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58538 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4618 | 1.6639 | 0.8785 | [X:[1.3458], M:[0.6917], q:[0.5326, 0.5701], qb:[0.4486, 0.4861], phi:[0.3271]] | t^2.07 + 2*t^2.94 + 2*t^3.06 + t^3.17 + 3*t^4.04 + 2*t^4.15 + t^4.91 + 4*t^5.02 + 4*t^5.13 + 2*t^5.24 + 2*t^5.89 + t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 58536 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4396 | 1.6225 | 0.8873 | [X:[1.3431], M:[1.0147], q:[0.5376, 0.567], qb:[0.4477, 0.4771], phi:[0.3284]] | t^2.96 + 3*t^3.04 + t^3.13 + t^3.94 + 3*t^4.03 + t^4.12 + t^4.93 + 2*t^5.01 + 2*t^5.1 + t^5.19 - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 58534 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0488 | 1.1738 | 0.8935 | [X:[1.5], M:[], q:[0.25, 0.75], qb:[0.5, 1.0], phi:[0.25]] | 2*t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 3*t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 537/512, c: 601/512, X1: 3/2, q1: 1/4, q2: 3/4, qb1: 1/2, qb2: 1, phi1: 1/4} |
| 58535 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4124 | 1.5806 | 0.8935 | [X:[1.3846], M:[], q:[0.4615, 0.6154], qb:[0.4615, 0.6154], phi:[0.3077]] | 2*t^2.77 + 2*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 2*t^5.08 + 4*t^5.54 + 2*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | {a: 3819/2704, c: 2137/1352, X1: 18/13, q1: 6/13, q2: 8/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |
| 58533 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ | 0.7384 | 0.8009 | 0.922 | [X:[1.5556, 1.3333, 1.3333], M:[], q:[0.1481, 0.8148], qb:[0.5185, 1.1852], phi:[0.2222]] | t^2.67 + 2*t^3.33 + 2*t^4. + t^4.67 + t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 319/432, c: 173/216, X1: 14/9, X2: 4/3, X3: 4/3, q1: 4/27, q2: 22/27, qb1: 14/27, qb2: 32/27, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47899 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.474 | 1.6831 | 0.8758 | [q:[0.5017, 0.4949], qb:[0.5017, 0.4949], phi:[0.3345]] | t^2.007 + t^2.969 + 2*t^2.99 + 2*t^3.01 + t^3.973 + 2*t^3.993 + 2*t^4.014 + 2*t^4.976 + 4*t^4.997 + 3*t^5.017 + 2*t^5.478 + 2*t^5.498 + t^5.938 + 2*t^5.959 + 4*t^5.979 + 2*t^6. - t^4.003/y - t^5.007/y - t^4.003*y - t^5.007*y | detail |