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 |
|---|---|---|---|---|---|---|---|---|---|
| 2206 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6718 | 0.8441 | 0.7959 | [M:[1.1532, 1.0901, 0.9415, 0.8468, 0.6982, 1.0585, 0.7298], q:[0.7725, 0.3491], qb:[0.4977, 0.5608], phi:[0.455]] | [M:[[8], [-4], [10], [-8], [6], [-10], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.095 + t^2.189 + t^2.54 + t^2.73 + t^3.175 + t^3.27 + t^3.365 + t^3.46 + t^4. + t^4.095 + t^4.189 + t^4.284 + t^4.351 + t^4.379 + t^4.54 + t^4.635 + 2*t^4.73 + t^4.825 + t^4.919 + t^5.081 + 2*t^5.27 + t^5.365 + 3*t^5.46 + t^5.554 + t^5.649 + t^5.716 + 2*t^5.905 - t^6. + t^6.095 + 2*t^6.189 + 2*t^6.284 + t^6.351 + t^6.379 + t^6.446 + t^6.474 + 2*t^6.54 + t^6.568 + t^6.635 + 2*t^6.73 + 3*t^6.825 + t^6.891 + 3*t^6.919 + t^7.014 + t^7.081 + t^7.109 + 2*t^7.27 + t^7.365 + 4*t^7.46 + t^7.526 + 3*t^7.554 + t^7.621 + 3*t^7.649 + t^7.716 + t^7.744 + t^7.811 + t^7.839 + 2*t^8. + 2*t^8.189 + t^8.256 + t^8.284 + 3*t^8.379 + 2*t^8.446 + 2*t^8.474 - t^8.54 + t^8.568 + 2*t^8.635 + t^8.663 + t^8.702 + t^8.758 + 2*t^8.825 + 2*t^8.891 + 3*t^8.919 - t^4.365/y - t^6.46/y - t^6.554/y + t^7.284/y + t^7.635/y + t^7.73/y + t^7.825/y + t^7.919/y + t^8.175/y + (3*t^8.27)/y + (2*t^8.365)/y + (2*t^8.46)/y + t^8.554/y + t^8.716/y - t^8.744/y + t^8.811/y + (2*t^8.905)/y - t^4.365*y - t^6.46*y - t^6.554*y + t^7.284*y + t^7.635*y + t^7.73*y + t^7.825*y + t^7.919*y + t^8.175*y + 3*t^8.27*y + 2*t^8.365*y + 2*t^8.46*y + t^8.554*y + t^8.716*y - t^8.744*y + t^8.811*y + 2*t^8.905*y | g1^6*t^2.095 + g1^12*t^2.189 + t^2.54/g1^8 + g1^4*t^2.73 + t^3.175/g1^10 + t^3.27/g1^4 + g1^2*t^3.365 + g1^8*t^3.46 + t^4. + g1^6*t^4.095 + g1^12*t^4.189 + g1^18*t^4.284 + t^4.351/g1^20 + g1^24*t^4.379 + t^4.54/g1^8 + t^4.635/g1^2 + 2*g1^4*t^4.73 + g1^10*t^4.825 + g1^16*t^4.919 + t^5.081/g1^16 + (2*t^5.27)/g1^4 + g1^2*t^5.365 + 3*g1^8*t^5.46 + g1^14*t^5.554 + g1^20*t^5.649 + t^5.716/g1^18 + (2*t^5.905)/g1^6 - t^6. + g1^6*t^6.095 + 2*g1^12*t^6.189 + 2*g1^18*t^6.284 + t^6.351/g1^20 + g1^24*t^6.379 + t^6.446/g1^14 + g1^30*t^6.474 + (2*t^6.54)/g1^8 + g1^36*t^6.568 + t^6.635/g1^2 + 2*g1^4*t^6.73 + 3*g1^10*t^6.825 + t^6.891/g1^28 + 3*g1^16*t^6.919 + g1^22*t^7.014 + t^7.081/g1^16 + g1^28*t^7.109 + (2*t^7.27)/g1^4 + g1^2*t^7.365 + 4*g1^8*t^7.46 + t^7.526/g1^30 + 3*g1^14*t^7.554 + t^7.621/g1^24 + 3*g1^20*t^7.649 + t^7.716/g1^18 + g1^26*t^7.744 + t^7.811/g1^12 + g1^32*t^7.839 + 2*t^8. + 2*g1^12*t^8.189 + t^8.256/g1^26 + g1^18*t^8.284 + 3*g1^24*t^8.379 + (2*t^8.446)/g1^14 + 2*g1^30*t^8.474 - t^8.54/g1^8 + g1^36*t^8.568 + (2*t^8.635)/g1^2 + g1^42*t^8.663 + t^8.702/g1^40 + g1^48*t^8.758 + 2*g1^10*t^8.825 + (2*t^8.891)/g1^28 + 3*g1^16*t^8.919 - (g1^2*t^4.365)/y - (g1^8*t^6.46)/y - (g1^14*t^6.554)/y + (g1^18*t^7.284)/y + t^7.635/(g1^2*y) + (g1^4*t^7.73)/y + (g1^10*t^7.825)/y + (g1^16*t^7.919)/y + t^8.175/(g1^10*y) + (3*t^8.27)/(g1^4*y) + (2*g1^2*t^8.365)/y + (2*g1^8*t^8.46)/y + (g1^14*t^8.554)/y + t^8.716/(g1^18*y) - (g1^26*t^8.744)/y + t^8.811/(g1^12*y) + (2*t^8.905)/(g1^6*y) - g1^2*t^4.365*y - g1^8*t^6.46*y - g1^14*t^6.554*y + g1^18*t^7.284*y + (t^7.635*y)/g1^2 + g1^4*t^7.73*y + g1^10*t^7.825*y + g1^16*t^7.919*y + (t^8.175*y)/g1^10 + (3*t^8.27*y)/g1^4 + 2*g1^2*t^8.365*y + 2*g1^8*t^8.46*y + g1^14*t^8.554*y + (t^8.716*y)/g1^18 - g1^26*t^8.744*y + (t^8.811*y)/g1^12 + (2*t^8.905*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4203 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6536 | 0.8233 | 0.7939 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.9524, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.286 + t^2.571 + 2*t^2.857 + t^3.143 + t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 3*t^4.857 + 5*t^5.143 + 2*t^5.429 + 6*t^5.714 + 2*t^6. - t^4.429/y - t^4.429*y | detail | {a: 3587/5488, c: 2259/2744, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 20/21, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 4205 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6638 | 0.8305 | 0.7993 | [M:[1.162, 1.0857, 0.9525, 0.838, 0.7048, 1.0475, 0.7429, 1.0857], q:[0.7714, 0.3524], qb:[0.4856, 0.5619], phi:[0.4572]] | t^2.114 + t^2.229 + t^2.514 + t^3.143 + 2*t^3.257 + t^3.371 + t^3.486 + t^4. + t^4.114 + t^4.229 + t^4.285 + t^4.343 + t^4.458 + t^4.514 + t^4.629 + 2*t^4.743 + t^5.028 + t^5.257 + 2*t^5.371 + 3*t^5.486 + t^5.6 + t^5.657 + t^5.715 + t^5.771 + t^5.886 - 2*t^6. - t^4.371/y - t^4.371*y | detail | |
| 4204 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6828 | 0.8626 | 0.7915 | [M:[1.1573, 1.088, 0.9466, 0.8427, 0.7013, 1.0534, 0.7359, 0.8773], q:[0.772, 0.3506], qb:[0.4921, 0.5613], phi:[0.456]] | t^2.104 + t^2.208 + t^2.528 + t^2.632 + t^2.736 + t^3.16 + t^3.264 + t^3.472 + t^4. + t^4.104 + t^4.208 + t^4.312 + t^4.32 + t^4.415 + t^4.528 + t^4.632 + 3*t^4.736 + 2*t^4.84 + t^4.944 + t^5.056 + t^5.16 + 3*t^5.264 + 2*t^5.368 + 2*t^5.472 + t^5.68 + t^5.688 + t^5.792 + 2*t^5.896 - t^6. - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1164 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6523 | 0.8085 | 0.8069 | [M:[1.1652, 1.0841, 0.9565, 0.8348, 0.7073, 1.0435], q:[0.771, 0.3536], qb:[0.4811, 0.5623], phi:[0.458]] | t^2.122 + t^2.504 + t^2.748 + t^3.13 + t^3.252 + t^3.374 + t^3.496 + t^3.756 + t^4. + t^4.122 + t^4.244 + t^4.261 + t^4.504 + t^4.626 + t^4.748 + t^4.87 + t^5.009 + 2*t^5.252 + 2*t^5.496 + t^5.635 + 3*t^5.878 - t^6. - t^4.374/y - t^4.374*y | detail |