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 |
|---|---|---|---|---|---|---|---|---|---|
| 79596 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ | 2.3105 | 2.4713 | 0.9349 | [X:[], M:[0.8285, 1.0291, 0.9709], q:[0.4855, 0.4855], qb:[], phi:[], S:[0.5145, 0.657], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 1], [0, -6], [0, 6]], q:[[-1, 6], [1, 0]], qb:[], phi:[], S:[[0, -3], [0, 2]], Sb:[], A:[], Ab:[]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}q_{1}q_{2}S_{1}^{2}$ | -3 | t^2.485 + t^2.913 + t^3.087 + t^3.942 + 3*t^4.456 + 3*t^4.884 + t^4.971 + t^5.398 + t^5.826 - 3*t^6. + 2*t^6.174 + 4*t^6.427 + t^6.602 + 2*t^6.855 + 3*t^7.029 + 3*t^7.369 + 2*t^7.456 + 2*t^7.544 + 3*t^7.796 + 3*t^7.884 + 6*t^7.971 + t^8.311 + 10*t^8.398 - 7*t^8.485 + t^8.738 + 6*t^8.826 + 2*t^8.913 - t^4.544/y - t^4.971/y - t^7.456/y - (2*t^7.631)/y - t^7.884/y - (2*t^8.058)/y + t^8.398/y - (2*t^8.485)/y + t^8.573/y - (2*t^8.913)/y - t^4.544*y - t^4.971*y - t^7.456*y - 2*t^7.631*y - t^7.884*y - 2*t^8.058*y + t^8.398*y - 2*t^8.485*y + t^8.573*y - 2*t^8.913*y | g2*t^2.485 + g2^6*t^2.913 + t^3.087/g2^6 + g2^4*t^3.942 + (g1^2*t^4.456)/g2^3 + g2^3*t^4.456 + (g2^9*t^4.456)/g1^2 + g1^2*g2^2*t^4.884 + g2^8*t^4.884 + (g2^14*t^4.884)/g1^2 + g2^2*t^4.971 + g2^7*t^5.398 + g2^12*t^5.826 - t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (2*t^6.174)/g2^12 + (g1^2*t^6.427)/g2 + 2*g2^5*t^6.427 + (g2^11*t^6.427)/g1^2 + t^6.602/g2^7 + 2*g2^10*t^6.855 + (3*t^7.029)/g2^2 + g1^2*g2^3*t^7.369 + g2^9*t^7.369 + (g2^15*t^7.369)/g1^2 + 2*g2^3*t^7.456 + (g1^2*t^7.544)/g2^9 + (g2^3*t^7.544)/g1^2 + g1^2*g2^8*t^7.796 + g2^14*t^7.796 + (g2^20*t^7.796)/g1^2 + 3*g2^8*t^7.884 + (2*g1^2*t^7.971)/g2^4 + 2*g2^2*t^7.971 + (2*g2^8*t^7.971)/g1^2 + g2^13*t^8.311 + 3*g1^2*g2*t^8.398 + 4*g2^7*t^8.398 + (3*g2^13*t^8.398)/g1^2 - (2*g1^2*t^8.485)/g2^5 - 3*g2*t^8.485 - (2*g2^7*t^8.485)/g1^2 + g2^18*t^8.738 + 2*g1^2*g2^6*t^8.826 + 2*g2^12*t^8.826 + (2*g2^18*t^8.826)/g1^2 + (g1^4*t^8.913)/g2^6 + (g2^18*t^8.913)/g1^4 - t^4.544/(g2^3*y) - (g2^2*t^4.971)/y - (g2^3*t^7.456)/y - (2*t^7.631)/(g2^9*y) - (g2^8*t^7.884)/y - (2*t^8.058)/(g2^4*y) + (g2^7*t^8.398)/y - (2*g2*t^8.485)/y + t^8.573/(g2^5*y) - (2*g2^6*t^8.913)/y - (t^4.544*y)/g2^3 - g2^2*t^4.971*y - g2^3*t^7.456*y - (2*t^7.631*y)/g2^9 - g2^8*t^7.884*y - (2*t^8.058*y)/g2^4 + g2^7*t^8.398*y - 2*g2*t^8.485*y + (t^8.573*y)/g2^5 - 2*g2^6*t^8.913*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 |
|---|---|---|---|---|---|---|---|---|
| 79706 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{4}$ | 2.3087 | 2.4657 | 0.9363 | [X:[], M:[0.832, 1.0079, 0.9921, 1.0079], q:[0.496, 0.496], qb:[], phi:[], S:[0.504, 0.664], Sb:[], A:[], Ab:[]] | t^2.496 + 2*t^3.024 + t^3.984 + 3*t^4.488 + 3*t^4.968 + t^4.992 + t^5.52 - 4*t^6. - t^4.512/y - t^4.992/y - t^4.512*y - t^4.992*y | detail | |
| 79702 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}q_{2}S_{2}$ | 2.1385 | 2.2557 | 0.948 | [X:[], M:[0.875, 0.75, 1.25], q:[0.625, 0.625], qb:[], phi:[], S:[0.375, 0.75], Sb:[], A:[], Ab:[]] | t^2.25 + t^2.625 + t^3.75 + 3*t^4.5 + 3*t^4.875 + t^5.25 + t^5.625 - t^4.125/y - t^5.25/y - t^4.125*y - t^5.25*y | detail | {a: 35037/16384, c: 36957/16384, M1: 7/8, M2: 3/4, M3: 5/4, q1: 5/8, q2: 5/8, S1: 3/8, S2: 3/4} |
| 79697 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}^{2}S_{1}$ | 2.1201 | 2.2624 | 0.9371 | [X:[], M:[0.8483, 0.9105, 1.0895], q:[0.3171, 0.7724], qb:[], phi:[], S:[0.4552, 0.6965], Sb:[], A:[], Ab:[]] | t^2.545 + t^2.731 + 2*t^3.269 + t^3.992 + t^4.179 + t^5.09 + 2*t^5.358 + 2*t^5.463 + t^5.813 + t^6. - t^4.366/y - t^5.09/y - t^4.366*y - t^5.09*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 |
|---|---|---|---|---|---|---|---|---|---|
| 79494 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4291 | 2.5709 | 0.9448 | [X:[], M:[0.8751, 0.7492, 0.8546], q:[0.6254, 0.6254], qb:[], phi:[], S:[0.5727, 0.5522], Sb:[], A:[], Ab:[]] | t^2.248 + t^2.564 + t^2.625 + t^3.313 + t^4.495 + t^4.811 + t^4.873 + t^5.127 + t^5.189 + t^5.251 + 3*t^5.409 + 3*t^5.471 + t^5.56 + t^5.877 - 5*t^6. - t^4.656/y - t^4.718/y - t^4.656*y - t^4.718*y | detail |