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 |
|---|---|---|---|---|---|---|---|---|---|
| 4204 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 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]] | [M:[[8], [-4], [10], [-8], [6], [-10], [12], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -1 | 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^6.104 + 2*t^6.208 + 2*t^6.312 + t^6.32 + t^6.415 + t^6.424 + t^6.519 + t^6.528 + t^6.623 + t^6.632 + 2*t^6.736 + 3*t^6.84 + t^6.849 + 4*t^6.944 + t^6.952 + 2*t^7.048 + t^7.056 + t^7.151 + t^7.16 + 3*t^7.264 + 3*t^7.368 + 5*t^7.472 + t^7.481 + 3*t^7.576 + t^7.585 + 2*t^7.68 + t^7.688 + 2*t^7.792 + t^7.887 + 2*t^7.896 + 3*t^8. + t^8.208 + t^8.217 + t^8.312 + t^8.32 + 3*t^8.415 + 2*t^8.424 + 2*t^8.519 + t^8.528 + t^8.623 - t^8.632 + t^8.641 + t^8.727 + t^8.831 + t^8.84 + 2*t^8.849 + 4*t^8.944 + t^8.952 - t^4.368/y - t^6.472/y - t^6.576/y - t^7./y + t^7.312/y + t^7.632/y + (3*t^7.736)/y + (2*t^7.84)/y + t^7.944/y + (2*t^8.16)/y + (3*t^8.264)/y + (3*t^8.368)/y + t^8.472/y + t^8.688/y - t^8.783/y + (2*t^8.792)/y + (2*t^8.896)/y - t^4.368*y - t^6.472*y - t^6.576*y - t^7.*y + t^7.312*y + t^7.632*y + 3*t^7.736*y + 2*t^7.84*y + t^7.944*y + 2*t^8.16*y + 3*t^8.264*y + 3*t^8.368*y + t^8.472*y + t^8.688*y - t^8.783*y + 2*t^8.792*y + 2*t^8.896*y | g1^6*t^2.104 + g1^12*t^2.208 + t^2.528/g1^8 + t^2.632/g1^2 + g1^4*t^2.736 + t^3.16/g1^10 + t^3.264/g1^4 + g1^8*t^3.472 + t^4. + g1^6*t^4.104 + g1^12*t^4.208 + g1^18*t^4.312 + t^4.32/g1^20 + g1^24*t^4.415 + t^4.528/g1^8 + t^4.632/g1^2 + 3*g1^4*t^4.736 + 2*g1^10*t^4.84 + g1^16*t^4.944 + t^5.056/g1^16 + t^5.16/g1^10 + (3*t^5.264)/g1^4 + 2*g1^2*t^5.368 + 2*g1^8*t^5.472 + g1^20*t^5.68 + t^5.688/g1^18 + t^5.792/g1^12 + (2*t^5.896)/g1^6 - t^6. + g1^6*t^6.104 + 2*g1^12*t^6.208 + 2*g1^18*t^6.312 + t^6.32/g1^20 + g1^24*t^6.415 + t^6.424/g1^14 + g1^30*t^6.519 + t^6.528/g1^8 + g1^36*t^6.623 + t^6.632/g1^2 + 2*g1^4*t^6.736 + 3*g1^10*t^6.84 + t^6.849/g1^28 + 4*g1^16*t^6.944 + t^6.952/g1^22 + 2*g1^22*t^7.048 + t^7.056/g1^16 + g1^28*t^7.151 + t^7.16/g1^10 + (3*t^7.264)/g1^4 + 3*g1^2*t^7.368 + 5*g1^8*t^7.472 + t^7.481/g1^30 + 3*g1^14*t^7.576 + t^7.585/g1^24 + 2*g1^20*t^7.68 + t^7.688/g1^18 + (2*t^7.792)/g1^12 + g1^32*t^7.887 + (2*t^7.896)/g1^6 + 3*t^8. + g1^12*t^8.208 + t^8.217/g1^26 + g1^18*t^8.312 + t^8.32/g1^20 + 3*g1^24*t^8.415 + (2*t^8.424)/g1^14 + 2*g1^30*t^8.519 + t^8.528/g1^8 + g1^36*t^8.623 - t^8.632/g1^2 + t^8.641/g1^40 + g1^42*t^8.727 + g1^48*t^8.831 + g1^10*t^8.84 + (2*t^8.849)/g1^28 + 4*g1^16*t^8.944 + t^8.952/g1^22 - (g1^2*t^4.368)/y - (g1^8*t^6.472)/y - (g1^14*t^6.576)/y - t^7./y + (g1^18*t^7.312)/y + t^7.632/(g1^2*y) + (3*g1^4*t^7.736)/y + (2*g1^10*t^7.84)/y + (g1^16*t^7.944)/y + (2*t^8.16)/(g1^10*y) + (3*t^8.264)/(g1^4*y) + (3*g1^2*t^8.368)/y + (g1^8*t^8.472)/y + t^8.688/(g1^18*y) - (g1^26*t^8.783)/y + (2*t^8.792)/(g1^12*y) + (2*t^8.896)/(g1^6*y) - g1^2*t^4.368*y - g1^8*t^6.472*y - g1^14*t^6.576*y - t^7.*y + g1^18*t^7.312*y + (t^7.632*y)/g1^2 + 3*g1^4*t^7.736*y + 2*g1^10*t^7.84*y + g1^16*t^7.944*y + (2*t^8.16*y)/g1^10 + (3*t^8.264*y)/g1^4 + 3*g1^2*t^8.368*y + g1^8*t^8.472*y + (t^8.688*y)/g1^18 - g1^26*t^8.783*y + (2*t^8.792*y)/g1^12 + (2*t^8.896*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 |
|---|---|---|---|---|---|---|---|---|
| 5701 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{2}M_{9}$ | 0.691 | 0.8768 | 0.7882 | [M:[1.1486, 1.0924, 0.9358, 0.8514, 0.6948, 1.0642, 0.7229, 0.8795, 0.9076], q:[0.7731, 0.3474], qb:[0.504, 0.5602], phi:[0.4538]] | t^2.084 + t^2.169 + t^2.554 + t^2.639 + 2*t^2.723 + t^3.193 + t^3.446 + t^4. + t^4.084 + t^4.169 + t^4.253 + t^4.338 + t^4.385 + t^4.554 + t^4.639 + 3*t^4.723 + 3*t^4.807 + 2*t^4.892 + t^5.108 + t^5.193 + 4*t^5.277 + 2*t^5.361 + 3*t^5.446 + t^5.615 + t^5.747 + 2*t^5.916 - 2*t^6. - t^4.361/y - t^4.361*y | detail | |
| 5700 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6749 | 0.8494 | 0.7946 | [M:[1.166, 1.0837, 0.9575, 0.834, 0.7078, 1.0425, 0.749, 0.8752, 1.0837], q:[0.7709, 0.3539], qb:[0.4801, 0.5624], phi:[0.4582]] | t^2.124 + t^2.247 + t^2.502 + t^2.625 + t^3.127 + 2*t^3.251 + t^3.498 + t^4. + t^4.124 + t^4.247 + t^4.255 + t^4.371 + t^4.494 + t^4.502 + t^4.625 + 3*t^4.749 + t^4.873 + t^5.004 + t^5.127 + 2*t^5.251 + 2*t^5.375 + 2*t^5.498 + t^5.629 + t^5.745 + 2*t^5.753 + 2*t^5.876 - 2*t^6. - t^4.375/y - t^4.375*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.365/y - t^4.365*y | detail |