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 |
|---|---|---|---|---|---|---|---|---|---|
| 4716 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.7169 | 0.9105 | 0.7874 | [X:[1.3232], M:[1.1281, 0.6768, 0.8049, 1.0, 1.0, 0.8049, 0.8719, 0.8719, 0.6768], q:[0.5335, 0.3384], qb:[0.6616, 0.6616], phi:[0.4512]] | [X:[[0, 6]], M:[[0, -10], [0, -6], [1, -19], [-1, 3], [1, -3], [-1, -13], [0, 10], [0, 10], [0, -6]], q:[[0, 13], [0, -3]], qb:[[-1, 6], [1, 0]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{9}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }X_{1}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{9}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{9}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{9}X_{1}$ | -2 | t^2.031 + 2*t^2.415 + 2*t^2.616 + t^2.707 + 2*t^3. + t^3.969 + t^4.061 + 2*t^4.354 + 2*t^4.445 + t^4.555 + 2*t^4.646 + t^4.738 + 3*t^4.829 + 2*t^4.939 + 4*t^5.031 + 2*t^5.122 + 3*t^5.232 + 5*t^5.323 + 4*t^5.415 + 2*t^5.616 + 2*t^5.707 - 2*t^6. + t^6.092 + 2*t^6.476 + t^6.585 + 2*t^6.677 + 4*t^6.768 + 3*t^6.86 + 4*t^6.969 + 6*t^7.061 + 2*t^7.153 + 2*t^7.171 + 4*t^7.244 + 3*t^7.262 + 7*t^7.354 + 6*t^7.445 + 3*t^7.537 + 4*t^7.555 + 4*t^7.646 + 8*t^7.738 + 6*t^7.829 + 3*t^7.847 + 7*t^7.939 + 4*t^8.031 + 5*t^8.122 + 4*t^8.323 - 4*t^8.415 + 2*t^8.506 - 9*t^8.616 - t^8.707 + 3*t^8.89 - t^4.354/y - t^6.384/y - (2*t^6.768)/y - t^6.969/y - t^7.061/y + (2*t^7.445)/y + (3*t^7.646)/y + (2*t^7.738)/y + t^7.829/y + (2*t^7.939)/y + (6*t^8.031)/y + (2*t^8.122)/y + t^8.232/y + (3*t^8.323)/y + (3*t^8.415)/y + (4*t^8.616)/y + (2*t^8.707)/y - (2*t^8.799)/y - t^4.354*y - t^6.384*y - 2*t^6.768*y - t^6.969*y - t^7.061*y + 2*t^7.445*y + 3*t^7.646*y + 2*t^7.738*y + t^7.829*y + 2*t^7.939*y + 6*t^8.031*y + 2*t^8.122*y + t^8.232*y + 3*t^8.323*y + 3*t^8.415*y + 4*t^8.616*y + 2*t^8.707*y - 2*t^8.799*y | t^2.031/g2^6 + (g1*t^2.415)/g2^19 + t^2.415/(g1*g2^13) + 2*g2^10*t^2.616 + t^2.707/g2^8 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^6*t^3.969 + t^4.061/g2^12 + (g1*t^4.354)/g2^7 + t^4.354/(g1*g2) + (g1*t^4.445)/g2^25 + t^4.445/(g1*g2^19) + g2^22*t^4.555 + 2*g2^4*t^4.646 + t^4.738/g2^14 + (g1^2*t^4.829)/g2^38 + t^4.829/g2^32 + t^4.829/(g1^2*g2^26) + g1*g2^9*t^4.939 + (g2^15*t^4.939)/g1 + (2*g1*t^5.031)/g2^9 + (2*t^5.031)/(g1*g2^3) + (g1*t^5.122)/g2^27 + t^5.122/(g1*g2^21) + 3*g2^20*t^5.232 + (g1^2*t^5.323)/g2^4 + 3*g2^2*t^5.323 + (g2^8*t^5.323)/g1^2 + (g1^2*t^5.415)/g2^22 + (2*t^5.415)/g2^16 + t^5.415/(g1^2*g2^10) + g1*g2^7*t^5.616 + (g2^13*t^5.616)/g1 + (g1*t^5.707)/g2^11 + t^5.707/(g1*g2^5) - 2*t^6. + t^6.092/g2^18 + (g1*t^6.476)/g2^31 + t^6.476/(g1*g2^25) + g2^16*t^6.585 + (2*t^6.677)/g2^2 + (g1^2*t^6.768)/g2^26 + (2*t^6.768)/g2^20 + t^6.768/(g1^2*g2^14) + (g1^2*t^6.86)/g2^44 + t^6.86/g2^38 + t^6.86/(g1^2*g2^32) + 2*g1*g2^3*t^6.969 + (2*g2^9*t^6.969)/g1 + (3*g1*t^7.061)/g2^15 + (3*t^7.061)/(g1*g2^9) + (g1*t^7.153)/g2^33 + t^7.153/(g1*g2^27) + 2*g2^32*t^7.171 + (g1^3*t^7.244)/g2^57 + (g1*t^7.244)/g2^51 + t^7.244/(g1*g2^45) + t^7.244/(g1^3*g2^39) + 3*g2^14*t^7.262 + (2*g1^2*t^7.354)/g2^10 + (3*t^7.354)/g2^4 + (2*g2^2*t^7.354)/g1^2 + (2*g1^2*t^7.445)/g2^28 + (2*t^7.445)/g2^22 + (2*t^7.445)/(g1^2*g2^16) + (g1^2*t^7.537)/g2^46 + t^7.537/g2^40 + t^7.537/(g1^2*g2^34) + 2*g1*g2^19*t^7.555 + (2*g2^25*t^7.555)/g1 + 2*g1*g2*t^7.646 + (2*g2^7*t^7.646)/g1 + (g1^3*t^7.738)/g2^23 + (3*g1*t^7.738)/g2^17 + (3*t^7.738)/(g1*g2^11) + t^7.738/(g1^3*g2^5) + (g1^3*t^7.829)/g2^41 + (2*g1*t^7.829)/g2^35 + (2*t^7.829)/(g1*g2^29) + t^7.829/(g1^3*g2^23) + 3*g2^30*t^7.847 + 2*g1^2*g2^6*t^7.939 + 3*g2^12*t^7.939 + (2*g2^18*t^7.939)/g1^2 + (2*t^8.031)/g1^2 + (2*g1^2*t^8.031)/g2^12 + (g1^2*t^8.122)/g2^30 + (3*t^8.122)/g2^24 + t^8.122/(g1^2*g2^18) + (g1^3*t^8.323)/g2^7 + (g1*t^8.323)/g2 + (g2^5*t^8.323)/g1 + (g2^11*t^8.323)/g1^3 - (2*g1*t^8.415)/g2^19 - (2*t^8.415)/(g1*g2^13) + (g1*t^8.506)/g2^37 + t^8.506/(g1*g2^31) - g1^2*g2^4*t^8.616 - 7*g2^10*t^8.616 - (g2^16*t^8.616)/g1^2 - t^8.707/g2^8 + (g1^2*t^8.89)/g2^50 + t^8.89/g2^44 + t^8.89/(g1^2*g2^38) - t^4.354/(g2^4*y) - t^6.384/(g2^10*y) - (g1*t^6.768)/(g2^23*y) - t^6.768/(g1*g2^17*y) - (g2^6*t^6.969)/y - t^7.061/(g2^12*y) + (g1*t^7.445)/(g2^25*y) + t^7.445/(g1*g2^19*y) + (3*g2^4*t^7.646)/y + (2*t^7.738)/(g2^14*y) + t^7.829/(g2^32*y) + (g1*g2^9*t^7.939)/y + (g2^15*t^7.939)/(g1*y) + (3*g1*t^8.031)/(g2^9*y) + (3*t^8.031)/(g1*g2^3*y) + (g1*t^8.122)/(g2^27*y) + t^8.122/(g1*g2^21*y) + (g2^20*t^8.232)/y + (3*g2^2*t^8.323)/y + (g1^2*t^8.415)/(g2^22*y) + t^8.415/(g2^16*y) + t^8.415/(g1^2*g2^10*y) + (2*g1*g2^7*t^8.616)/y + (2*g2^13*t^8.616)/(g1*y) + (g1*t^8.707)/(g2^11*y) + t^8.707/(g1*g2^5*y) - (g1*t^8.799)/(g2^29*y) - t^8.799/(g1*g2^23*y) - (t^4.354*y)/g2^4 - (t^6.384*y)/g2^10 - (g1*t^6.768*y)/g2^23 - (t^6.768*y)/(g1*g2^17) - g2^6*t^6.969*y - (t^7.061*y)/g2^12 + (g1*t^7.445*y)/g2^25 + (t^7.445*y)/(g1*g2^19) + 3*g2^4*t^7.646*y + (2*t^7.738*y)/g2^14 + (t^7.829*y)/g2^32 + g1*g2^9*t^7.939*y + (g2^15*t^7.939*y)/g1 + (3*g1*t^8.031*y)/g2^9 + (3*t^8.031*y)/(g1*g2^3) + (g1*t^8.122*y)/g2^27 + (t^8.122*y)/(g1*g2^21) + g2^20*t^8.232*y + 3*g2^2*t^8.323*y + (g1^2*t^8.415*y)/g2^22 + (t^8.415*y)/g2^16 + (t^8.415*y)/(g1^2*g2^10) + 2*g1*g2^7*t^8.616*y + (2*g2^13*t^8.616*y)/g1 + (g1*t^8.707*y)/g2^11 + (t^8.707*y)/(g1*g2^5) - (g1*t^8.799*y)/g2^29 - (t^8.799*y)/(g1*g2^23) |
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 |
|---|---|---|---|---|---|---|---|---|
| 6310 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ + ${ }M_{10}M_{3}$ | 0.7027 | 0.887 | 0.7922 | [X:[1.3093], M:[1.1512, 0.6907, 0.8696, 0.9723, 1.0277, 0.8142, 0.8488, 0.8488, 0.6907, 1.1304], q:[0.5035, 0.3454], qb:[0.6269, 0.6824], phi:[0.4605]] | t^2.072 + t^2.443 + 2*t^2.546 + t^2.763 + t^2.917 + t^3.083 + t^3.391 + t^3.928 + t^4.144 + t^4.298 + t^4.402 + t^4.465 + t^4.515 + 2*t^4.619 + t^4.773 + t^4.835 + t^4.885 + t^4.939 + 2*t^4.989 + 3*t^5.093 + t^5.143 + t^5.205 + 3*t^5.309 + t^5.359 + 2*t^5.463 + t^5.476 + t^5.526 + t^5.63 + t^5.68 + t^5.834 + t^5.846 + 2*t^5.938 - 2*t^6. - t^4.381/y - t^4.381*y | detail | |
| 6314 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ + ${ }M_{10}X_{1}$ | 0.7377 | 0.9515 | 0.7753 | [X:[1.3235], M:[1.1275, 0.6765, 0.804, 1.0, 1.0, 0.804, 0.8725, 0.8725, 0.6765, 0.6765], q:[0.5343, 0.3382], qb:[0.6618, 0.6618], phi:[0.451]] | 2*t^2.029 + 2*t^2.412 + 2*t^2.618 + t^2.706 + 2*t^3. + 3*t^4.059 + 2*t^4.353 + 4*t^4.441 + t^4.559 + 4*t^4.647 + 2*t^4.735 + 3*t^4.824 + 2*t^4.941 + 6*t^5.029 + 2*t^5.118 + 3*t^5.235 + 5*t^5.324 + 4*t^5.412 + 2*t^5.618 + 2*t^5.706 - 3*t^6. - t^4.353/y - t^4.353*y | detail | |
| 6306 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ + ${ }M_{3}M_{9}$ | 0.6157 | 0.8011 | 0.7686 | [X:[1.2241], M:[1.2932, 0.7759, 1.2241, 0.845, 1.155, 0.9141, 0.7068, 0.7068, 0.7759], q:[0.3189, 0.388], qb:[0.4571, 0.767], phi:[0.5173]] | 2*t^2.12 + t^2.328 + t^2.535 + t^2.742 + t^3.104 + 2*t^3.465 + 2*t^3.672 + t^3.88 + t^4.087 + 3*t^4.241 + t^4.294 + 2*t^4.448 + 2*t^4.655 + t^4.809 + 2*t^4.863 + t^5.017 + t^5.07 + 3*t^5.224 + t^5.277 + t^5.431 + t^5.485 + 3*t^5.585 + t^5.639 + 3*t^5.793 + t^5.846 + t^6. - t^4.552/y - t^4.552*y | detail | |
| 6308 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6981 | 0.8919 | 0.7828 | [X:[1.3244], M:[1.126, 0.6756, 0.6889, 1.1126, 0.8874, 0.9141, 0.874, 0.874, 0.6756], q:[0.5363, 0.3378], qb:[0.7748, 0.5496], phi:[0.4504]] | t^2.027 + t^2.067 + 2*t^2.622 + t^2.662 + t^2.702 + t^2.742 + t^3.338 + t^3.973 + t^4.013 + t^4.053 + t^4.094 + t^4.134 + t^4.569 + t^4.609 + 3*t^4.649 + 3*t^4.689 + 2*t^4.729 + 2*t^4.769 + t^4.809 + 3*t^5.244 + 2*t^5.284 + 3*t^5.324 + 3*t^5.365 + 2*t^5.405 + t^5.445 + t^5.485 + t^5.96 - t^6. - t^4.351/y - t^4.351*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |