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 |
|---|---|---|---|---|---|---|---|---|---|
| 55140 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6976 | 0.8706 | 0.8013 | [M:[1.0, 0.9931, 1.1126, 0.8874, 0.6759, 0.7816], q:[0.5598, 0.4402], qb:[0.4471, 0.7782], phi:[0.4437]] | [M:[[0], [-18], [4], [-4], [24], [10]], q:[[11], [-11]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}$ | -2 | t^2.028 + t^2.345 + 2*t^2.662 + t^2.979 + t^3. + t^3.676 + t^3.993 + 2*t^4.014 + t^4.055 + t^4.331 + t^4.352 + t^4.372 + 4*t^4.69 + 3*t^5.007 + t^5.028 + 4*t^5.324 + t^5.345 + t^5.641 + t^5.662 + t^5.703 + t^5.959 - 2*t^6. + t^6.021 + 2*t^6.041 + t^6.083 - t^6.317 + t^6.338 + 2*t^6.359 + t^6.379 + t^6.4 + 2*t^6.655 + 4*t^6.676 + t^6.697 + 4*t^6.717 + 2*t^6.993 + 2*t^7.014 + 5*t^7.034 + t^7.055 - t^7.31 - t^7.331 + 7*t^7.352 + t^7.372 - t^7.648 + 4*t^7.669 + 3*t^7.69 + t^7.731 + 5*t^7.986 + 2*t^8.007 + t^8.048 + 2*t^8.069 + t^8.11 + 2*t^8.303 - 3*t^8.345 + 3*t^8.365 + 2*t^8.386 + t^8.407 + t^8.428 + t^8.621 - t^8.641 - 6*t^8.662 + t^8.683 + 7*t^8.703 + t^8.724 + 4*t^8.745 + t^8.938 - 4*t^8.979 - t^4.331/y - t^6.359/y - t^6.676/y - t^6.993/y - t^7.31/y + t^7.352/y + t^7.372/y + t^7.669/y + (2*t^7.69)/y + t^7.986/y + (3*t^8.007)/y + t^8.028/y + t^8.303/y + (2*t^8.324)/y + t^8.345/y - t^8.386/y + (2*t^8.641)/y + (2*t^8.662)/y + t^8.979/y - t^4.331*y - t^6.359*y - t^6.676*y - t^6.993*y - t^7.31*y + t^7.352*y + t^7.372*y + t^7.669*y + 2*t^7.69*y + t^7.986*y + 3*t^8.007*y + t^8.028*y + t^8.303*y + 2*t^8.324*y + t^8.345*y - t^8.386*y + 2*t^8.641*y + 2*t^8.662*y + t^8.979*y | g1^24*t^2.028 + g1^10*t^2.345 + (2*t^2.662)/g1^4 + t^2.979/g1^18 + t^3. + g1^8*t^3.676 + t^3.993/g1^6 + 2*g1^12*t^4.014 + g1^48*t^4.055 + t^4.331/g1^2 + g1^16*t^4.352 + g1^34*t^4.372 + 4*g1^20*t^4.69 + 3*g1^6*t^5.007 + g1^24*t^5.028 + (4*t^5.324)/g1^8 + g1^10*t^5.345 + t^5.641/g1^22 + t^5.662/g1^4 + g1^32*t^5.703 + t^5.959/g1^36 - 2*t^6. + g1^18*t^6.021 + 2*g1^36*t^6.041 + g1^72*t^6.083 - t^6.317/g1^14 + g1^4*t^6.338 + 2*g1^22*t^6.359 + g1^40*t^6.379 + g1^58*t^6.4 + (2*t^6.655)/g1^10 + 4*g1^8*t^6.676 + g1^26*t^6.697 + 4*g1^44*t^6.717 + (2*t^6.993)/g1^6 + 2*g1^12*t^7.014 + 5*g1^30*t^7.034 + g1^48*t^7.055 - t^7.31/g1^20 - t^7.331/g1^2 + 7*g1^16*t^7.352 + g1^34*t^7.372 - t^7.648/g1^16 + 4*g1^2*t^7.669 + 3*g1^20*t^7.69 + g1^56*t^7.731 + (5*t^7.986)/g1^12 + 2*g1^6*t^8.007 + g1^42*t^8.048 + 2*g1^60*t^8.069 + g1^96*t^8.11 + (2*t^8.303)/g1^26 - 3*g1^10*t^8.345 + 3*g1^28*t^8.365 + 2*g1^46*t^8.386 + g1^64*t^8.407 + g1^82*t^8.428 + t^8.621/g1^40 - t^8.641/g1^22 - (6*t^8.662)/g1^4 + g1^14*t^8.683 + 7*g1^32*t^8.703 + g1^50*t^8.724 + 4*g1^68*t^8.745 + t^8.938/g1^54 - (4*t^8.979)/g1^18 - t^4.331/(g1^2*y) - (g1^22*t^6.359)/y - (g1^8*t^6.676)/y - t^6.993/(g1^6*y) - t^7.31/(g1^20*y) + (g1^16*t^7.352)/y + (g1^34*t^7.372)/y + (g1^2*t^7.669)/y + (2*g1^20*t^7.69)/y + t^7.986/(g1^12*y) + (3*g1^6*t^8.007)/y + (g1^24*t^8.028)/y + t^8.303/(g1^26*y) + (2*t^8.324)/(g1^8*y) + (g1^10*t^8.345)/y - (g1^46*t^8.386)/y + (2*t^8.641)/(g1^22*y) + (2*t^8.662)/(g1^4*y) + t^8.979/(g1^18*y) - (t^4.331*y)/g1^2 - g1^22*t^6.359*y - g1^8*t^6.676*y - (t^6.993*y)/g1^6 - (t^7.31*y)/g1^20 + g1^16*t^7.352*y + g1^34*t^7.372*y + g1^2*t^7.669*y + 2*g1^20*t^7.69*y + (t^7.986*y)/g1^12 + 3*g1^6*t^8.007*y + g1^24*t^8.028*y + (t^8.303*y)/g1^26 + (2*t^8.324*y)/g1^8 + g1^10*t^8.345*y - g1^46*t^8.386*y + (2*t^8.641*y)/g1^22 + (2*t^8.662*y)/g1^4 + (t^8.979*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56786 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.5982 | 0.7452 | 0.8027 | [M:[1.0, 0.7059, 1.1765, 0.8235, 1.0588, 0.9412], q:[0.7353, 0.2647], qb:[0.5588, 0.7941], phi:[0.4118]] | t^2.118 + 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.706 + t^4.059 + 2*t^4.235 + 3*t^4.588 + 4*t^4.941 + t^5.118 + 3*t^5.294 + t^5.471 + 3*t^5.647 + t^5.824 - t^6. - t^4.235/y - t^4.235*y | detail | {a: 1383/2312, c: 1723/2312, M1: 1, M2: 12/17, M3: 20/17, M4: 14/17, M5: 18/17, M6: 16/17, q1: 25/34, q2: 9/34, qb1: 19/34, qb2: 27/34, phi1: 7/17} |
| 56785 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.6252 | 0.7762 | 0.8054 | [M:[1.0, 0.75, 1.1667, 0.8333, 1.0, 0.9167], q:[0.7083, 0.2917], qb:[0.5417, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^2.75 + 2*t^3. + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 5*t^5. + 3*t^5.25 + 5*t^5.5 + t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 3841/6144, c: 4769/6144, M1: 1, M2: 3/4, M3: 7/6, M4: 5/6, M5: 1, M6: 11/12, q1: 17/24, q2: 7/24, qb1: 13/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.6802 | 0.8389 | 0.8108 | [M:[1.0, 0.9814, 1.1152, 0.8848, 0.6914], q:[0.5669, 0.4331], qb:[0.4517, 0.7788], phi:[0.4424]] | t^2.074 + 2*t^2.654 + t^2.944 + t^3. + t^3.636 + t^3.691 + t^3.981 + 2*t^4.037 + t^4.148 + t^4.327 + t^4.383 + 3*t^4.729 + t^5.019 + t^5.074 + 3*t^5.309 + t^5.599 + t^5.654 + t^5.71 + t^5.766 + t^5.889 - 2*t^6. - t^4.327/y - t^4.327*y | detail |