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 |
|---|---|---|---|---|---|---|---|---|---|
| 79474 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ | 2.4061 | 2.5298 | 0.9511 | [X:[], M:[0.7345], q:[0.6327, 0.6327], qb:[], phi:[], S:[0.5612, 0.5612], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 6, 6]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}S_{1}^{2}$, ${ }M_{1}S_{1}S_{2}$, ${ }M_{1}S_{2}^{2}$ | ${}$ | -7 | t^2.204 + 3*t^3.367 + t^4.407 + 6*t^5.48 + 3*t^5.571 - 7*t^6. + t^6.611 + 12*t^6.735 + 6*t^7.164 - 2*t^7.684 + 3*t^7.774 - 6*t^8.113 - 4*t^8.204 + t^8.633 + t^8.814 + 38*t^8.847 + 12*t^8.938 - (2*t^4.684)/y - (2*t^6.887)/y + (2*t^7.316)/y - (10*t^8.051)/y + (3*t^8.571)/y - 2*t^4.684*y - 2*t^6.887*y + 2*t^7.316*y - 10*t^8.051*y + 3*t^8.571*y | g2^6*g3^6*t^2.204 + g2^2*t^3.367 + g2*g3*t^3.367 + g3^2*t^3.367 + g2^12*g3^12*t^4.407 + g1^2*g2*t^5.48 + t^5.48/(g1^2*g2^11*g3^12) + t^5.48/(g1^2*g2^12*g3^11) + t^5.48/(g2^5*g3^6) + t^5.48/(g2^6*g3^5) + g1^2*g3*t^5.48 + g2^8*g3^6*t^5.571 + g2^7*g3^7*t^5.571 + g2^6*g3^8*t^5.571 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - (g2*t^6.)/g3 - (g3*t^6.)/g2 - g1^2*g2^6*g3^6*t^6. + g2^18*g3^18*t^6.611 + 2*g2^4*t^6.735 + 2*g2^3*g3*t^6.735 + 4*g2^2*g3^2*t^6.735 + 2*g2*g3^3*t^6.735 + 2*g3^4*t^6.735 + t^7.164/(g1^2*g2^11*g3^11) + t^7.164/(g2^4*g3^6) + (2*t^7.164)/(g2^5*g3^5) + t^7.164/(g2^6*g3^4) + g1^2*g2*g3*t^7.164 - g2*t^7.684 - g3*t^7.684 + g2^14*g3^12*t^7.774 + g2^13*g3^13*t^7.774 + g2^12*g3^14*t^7.774 - (g1^2*t^8.113)/g2 - t^8.113/(g1^2*g2^12*g3^13) - t^8.113/(g1^2*g2^13*g3^12) - t^8.113/(g2^6*g3^7) - t^8.113/(g2^7*g3^6) - (g1^2*t^8.113)/g3 - g2^7*g3^5*t^8.204 - 2*g2^6*g3^6*t^8.204 - g2^5*g3^7*t^8.204 + t^8.633/(g2*g3) + g2^24*g3^24*t^8.814 + 2*g1^2*g2^3*t^8.847 + (2*t^8.847)/(g1^2*g2^9*g3^12) + (4*t^8.847)/(g1^2*g2^10*g3^11) + (4*t^8.847)/(g1^2*g2^11*g3^10) + (2*t^8.847)/(g1^2*g2^12*g3^9) + (2*t^8.847)/(g2^3*g3^6) + (5*t^8.847)/(g2^4*g3^5) + (5*t^8.847)/(g2^5*g3^4) + (2*t^8.847)/(g2^6*g3^3) + 4*g1^2*g2^2*g3*t^8.847 + 4*g1^2*g2*g3^2*t^8.847 + 2*g1^2*g3^3*t^8.847 + 2*g2^10*g3^6*t^8.938 + 2*g2^9*g3^7*t^8.938 + 4*g2^8*g3^8*t^8.938 + 2*g2^7*g3^9*t^8.938 + 2*g2^6*g3^10*t^8.938 - (g2*t^4.684)/y - (g3*t^4.684)/y - (g2^7*g3^6*t^6.887)/y - (g2^6*g3^7*t^6.887)/y + t^7.316/(g2*y) + t^7.316/(g3*y) - (2*g2^3*t^8.051)/y - (3*g2^2*g3*t^8.051)/y - (3*g2*g3^2*t^8.051)/y - (2*g3^3*t^8.051)/y + (g2^8*g3^6*t^8.571)/y + (g2^7*g3^7*t^8.571)/y + (g2^6*g3^8*t^8.571)/y - g2*t^4.684*y - g3*t^4.684*y - g2^7*g3^6*t^6.887*y - g2^6*g3^7*t^6.887*y + (t^7.316*y)/g2 + (t^7.316*y)/g3 - 2*g2^3*t^8.051*y - 3*g2^2*g3*t^8.051*y - 3*g2*g3^2*t^8.051*y - 2*g3^3*t^8.051*y + g2^8*g3^6*t^8.571*y + g2^7*g3^7*t^8.571*y + g2^6*g3^8*t^8.571*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 |
|---|---|---|---|---|---|---|---|---|
| 79488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ | 2.3927 | 2.5266 | 0.947 | [X:[], M:[0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | t^2.571 + 3*t^3.429 + 7*t^5.143 - 4*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 13131/5488, c: 6933/2744, M1: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |
| 79489 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3962 | 2.5275 | 0.9481 | [X:[], M:[0.8247], q:[0.5877, 0.5877], qb:[], phi:[], S:[0.5877, 0.5498], Sb:[], A:[], Ab:[]] | t^2.474 + t^3.299 + t^3.412 + t^3.526 + t^4.948 + 3*t^5.175 + 3*t^5.289 + t^5.773 - 4*t^6. - t^4.649/y - t^4.763/y - t^4.649*y - t^4.763*y | detail | |
| 79485 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 2.3431 | 2.4889 | 0.9414 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.5 + 6*t^4.75 - 6*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 3599/1536, c: 3823/1536, M1: 1, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 79469 | Sp2s2nf1 | ${}$ | 2.3869 | 2.4977 | 0.9556 | [X:[], M:[], q:[0.6202, 0.6202], qb:[], phi:[], S:[0.5633, 0.5633], Sb:[], A:[], Ab:[]] | 3*t^3.38 + t^3.721 + 6*t^5.411 - 7*t^6. - (2*t^4.69)/y - 2*t^4.69*y | detail |