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 |
|---|---|---|---|---|---|---|---|---|---|
| 48231 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.3818, 0.6726, 1.1454, 0.8546, 0.7181], q:[0.8773, 0.7409], qb:[0.45, 0.4045], phi:[0.3818]] | [X:[[4]], M:[[-4], [-28], [-12], [12], [-18]], q:[[17], [-13]], qb:[[11], [1]], phi:[[-4]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.018 + t^2.154 + t^2.291 + t^2.564 + t^3.436 + 2*t^3.573 + t^3.709 + t^3.846 + t^4.036 + t^4.172 + 2*t^4.309 + t^4.445 + 2*t^4.582 + t^4.718 + 2*t^4.855 + t^5.128 + t^5.454 + 3*t^5.591 + 3*t^5.727 + 2*t^5.864 + t^6.054 + t^6.136 + t^6.19 + 2*t^6.326 + t^6.409 + 2*t^6.463 + 3*t^6.599 + 2*t^6.736 + 4*t^6.872 + 2*t^7.009 + 4*t^7.145 + t^7.418 + t^7.472 - t^7.555 + 3*t^7.608 + t^7.691 + 4*t^7.745 + 4*t^7.881 + t^8.018 + t^8.071 + t^8.154 + t^8.208 + 2*t^8.344 + 2*t^8.481 - 2*t^8.564 + 4*t^8.617 + 3*t^8.754 - t^8.837 + 5*t^8.89 + t^8.973 - t^4.145/y - t^6.163/y - t^6.3/y - t^6.436/y + t^7.172/y + t^7.309/y + t^7.445/y + t^7.582/y + t^7.718/y + (2*t^7.855)/y + t^7.991/y + t^8.128/y - t^8.181/y - t^8.318/y - t^8.454/y + (2*t^8.591)/y + (3*t^8.727)/y + (4*t^8.864)/y - t^4.145*y - t^6.163*y - t^6.3*y - t^6.436*y + t^7.172*y + t^7.309*y + t^7.445*y + t^7.582*y + t^7.718*y + 2*t^7.855*y + t^7.991*y + t^8.128*y - t^8.181*y - t^8.318*y - t^8.454*y + 2*t^8.591*y + 3*t^8.727*y + 4*t^8.864*y | t^2.018/g1^28 + t^2.154/g1^18 + t^2.291/g1^8 + g1^12*t^2.564 + t^3.436/g1^12 + (2*t^3.573)/g1^2 + g1^8*t^3.709 + g1^18*t^3.846 + t^4.036/g1^56 + t^4.172/g1^46 + (2*t^4.309)/g1^36 + t^4.445/g1^26 + (2*t^4.582)/g1^16 + t^4.718/g1^6 + 2*g1^4*t^4.855 + g1^24*t^5.128 + t^5.454/g1^40 + (3*t^5.591)/g1^30 + (3*t^5.727)/g1^20 + (2*t^5.864)/g1^10 + t^6.054/g1^84 + g1^10*t^6.136 + t^6.19/g1^74 + (2*t^6.326)/g1^64 + g1^30*t^6.409 + (2*t^6.463)/g1^54 + (3*t^6.599)/g1^44 + (2*t^6.736)/g1^34 + (4*t^6.872)/g1^24 + (2*t^7.009)/g1^14 + (4*t^7.145)/g1^4 + g1^16*t^7.418 + t^7.472/g1^68 - g1^26*t^7.555 + (3*t^7.608)/g1^58 + g1^36*t^7.691 + (4*t^7.745)/g1^48 + (4*t^7.881)/g1^38 + t^8.018/g1^28 + t^8.071/g1^112 + t^8.154/g1^18 + t^8.208/g1^102 + (2*t^8.344)/g1^92 + (2*t^8.481)/g1^82 - 2*g1^12*t^8.564 + (4*t^8.617)/g1^72 + (3*t^8.754)/g1^62 - g1^32*t^8.837 + (5*t^8.89)/g1^52 + g1^42*t^8.973 - t^4.145/(g1^4*y) - t^6.163/(g1^32*y) - t^6.3/(g1^22*y) - t^6.436/(g1^12*y) + t^7.172/(g1^46*y) + t^7.309/(g1^36*y) + t^7.445/(g1^26*y) + t^7.582/(g1^16*y) + t^7.718/(g1^6*y) + (2*g1^4*t^7.855)/y + (g1^14*t^7.991)/y + (g1^24*t^8.128)/y - t^8.181/(g1^60*y) - t^8.318/(g1^50*y) - t^8.454/(g1^40*y) + (2*t^8.591)/(g1^30*y) + (3*t^8.727)/(g1^20*y) + (4*t^8.864)/(g1^10*y) - (t^4.145*y)/g1^4 - (t^6.163*y)/g1^32 - (t^6.3*y)/g1^22 - (t^6.436*y)/g1^12 + (t^7.172*y)/g1^46 + (t^7.309*y)/g1^36 + (t^7.445*y)/g1^26 + (t^7.582*y)/g1^16 + (t^7.718*y)/g1^6 + 2*g1^4*t^7.855*y + g1^14*t^7.991*y + g1^24*t^8.128*y - (t^8.181*y)/g1^60 - (t^8.318*y)/g1^50 - (t^8.454*y)/g1^40 + (2*t^8.591*y)/g1^30 + (3*t^8.727*y)/g1^20 + (4*t^8.864*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 |
|---|---|---|---|---|---|---|---|---|
| 55970 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.5549 | 0.6908 | 0.8033 | [X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]] | t^2.087 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + t^4.957 + 3*t^5.217 + t^5.478 + 3*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 54015/97336, c: 8405/12167, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23} |
| 55971 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6228 | 0.765 | 0.8141 | [X:[1.6168], M:[0.3832, 0.6821, 1.1495, 0.8505, 0.7242, 1.2337], q:[0.8716, 0.7453], qb:[0.4463, 0.4042], phi:[0.3832]] | t^2.046 + t^2.173 + t^2.552 + t^3.448 + 2*t^3.575 + 2*t^3.701 + t^3.827 + t^4.093 + t^4.219 + t^4.345 + t^4.598 + t^4.724 + t^4.851 + t^5.103 + t^5.495 + 3*t^5.621 + 3*t^5.747 + t^5.874 - t^6. - t^4.149/y - t^4.149*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46678 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.3823, 0.676, 1.1468, 0.8532, 0.7046], q:[0.8831, 0.7346], qb:[0.4409, 0.4122], phi:[0.3823]] | t^2.028 + t^2.114 + t^2.294 + t^2.559 + t^3.441 + t^3.527 + t^3.62 + t^3.706 + t^3.792 + t^4.056 + t^4.142 + t^4.228 + t^4.322 + t^4.408 + 2*t^4.587 + t^4.673 + 2*t^4.853 + t^5.119 + t^5.468 + 2*t^5.554 + t^5.641 + t^5.648 + 2*t^5.734 + 2*t^5.82 + t^5.906 - t^6. - t^4.147/y - t^4.147*y | detail |