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 |
|---|---|---|---|---|---|---|---|---|---|
| 916 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7478 | 0.9314 | 0.8029 | [M:[1.0, 0.7502, 0.889, 0.8612, 1.0, 0.7502], q:[0.5555, 0.4445], qb:[0.5555, 0.6943], phi:[0.4375]] | [M:[[0, 0], [-4, -4], [-8, 0], [4, -4], [0, 0], [-4, -4]], q:[[4, 0], [-4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -3 | 2*t^2.251 + t^2.584 + t^2.625 + t^2.667 + 2*t^3. + t^3.98 + 2*t^4.313 + 3*t^4.501 + 3*t^4.646 + t^4.729 + 2*t^4.834 + 2*t^4.876 + 2*t^4.917 + 2*t^5.062 + t^5.167 + t^5.209 + 5*t^5.251 + t^5.292 + t^5.334 + t^5.478 + 2*t^5.625 - 3*t^6. + 2*t^6.23 - 2*t^6.333 - 2*t^6.416 + 4*t^6.563 + t^6.605 + t^6.646 - 2*t^6.749 + 4*t^6.752 + 6*t^6.896 + 2*t^6.938 + 4*t^6.98 + 3*t^7.085 + 3*t^7.126 + 3*t^7.168 + 3*t^7.229 + 3*t^7.271 + 6*t^7.313 + t^7.396 + 2*t^7.418 + 2*t^7.459 + 8*t^7.501 + 2*t^7.543 + 2*t^7.584 + 4*t^7.646 + 2*t^7.729 + t^7.751 + t^7.793 + 2*t^7.834 + 5*t^7.876 + t^7.917 + 2*t^7.959 + t^8.001 - 3*t^8.02 - t^8.062 + t^8.145 - 6*t^8.251 + 2*t^8.292 - 2*t^8.395 - 2*t^8.437 + 3*t^8.481 - 9*t^8.584 - 8*t^8.667 + t^8.708 - t^8.812 + 6*t^8.814 - t^8.853 + 2*t^8.855 + 2*t^8.897 - 2*t^8.917 + 2*t^8.958 - t^4.313/y - (2*t^6.563)/y - t^6.896/y - t^6.938/y - t^6.98/y + t^7.501/y + t^7.646/y + t^7.687/y + t^7.729/y + (2*t^7.834)/y + (2*t^7.876)/y + (2*t^7.917)/y + (2*t^8.062)/y + t^8.209/y + (5*t^8.251)/y + t^8.292/y + (2*t^8.584)/y + (2*t^8.625)/y + (2*t^8.667)/y - (3*t^8.814)/y - t^4.313*y - 2*t^6.563*y - t^6.896*y - t^6.938*y - t^6.98*y + t^7.501*y + t^7.646*y + t^7.687*y + t^7.729*y + 2*t^7.834*y + 2*t^7.876*y + 2*t^7.917*y + 2*t^8.062*y + t^8.209*y + 5*t^8.251*y + t^8.292*y + 2*t^8.584*y + 2*t^8.625*y + 2*t^8.667*y - 3*t^8.814*y | (2*t^2.251)/(g1^4*g2^4) + (g1^4*t^2.584)/g2^4 + t^2.625/(g1^2*g2^2) + t^2.667/g1^8 + 2*t^3. + t^3.98/(g1^9*g2) + (2*t^4.313)/(g1*g2) + (3*t^4.501)/(g1^8*g2^8) + (3*g1^7*t^4.646)/g2 + (g2^3*t^4.729)/g1^5 + (2*t^4.834)/g2^8 + (2*t^4.876)/(g1^6*g2^6) + (2*t^4.917)/(g1^12*g2^4) + 2*g1^3*g2^3*t^5.062 + (g1^8*t^5.167)/g2^8 + (g1^2*t^5.209)/g2^6 + (5*t^5.251)/(g1^4*g2^4) + t^5.292/(g1^10*g2^2) + t^5.334/g1^16 + (g2^7*t^5.478)/g1 + (2*t^5.625)/(g1^2*g2^2) - 3*t^6. + (2*t^6.23)/(g1^13*g2^5) - 2*g1^8*t^6.333 - (2*g2^4*t^6.416)/g1^4 + (4*t^6.563)/(g1^5*g2^5) + t^6.605/(g1^11*g2^3) + t^6.646/(g1^17*g2) - 2*g1^4*g2^4*t^6.749 + (4*t^6.752)/(g1^12*g2^12) + (6*g1^3*t^6.896)/g2^5 + (2*t^6.938)/(g1^3*g2^3) + (4*t^6.98)/(g1^9*g2) + (3*t^7.085)/(g1^4*g2^12) + (3*t^7.126)/(g1^10*g2^10) + (3*t^7.168)/(g1^16*g2^8) + (3*g1^11*t^7.229)/g2^5 + (3*g1^5*t^7.271)/g2^3 + (6*t^7.313)/(g1*g2) + (g2^3*t^7.396)/g1^13 + (2*g1^4*t^7.418)/g2^12 + (2*t^7.459)/(g1^2*g2^10) + (8*t^7.501)/(g1^8*g2^8) + (2*t^7.543)/(g1^14*g2^6) + (2*t^7.584)/(g1^20*g2^4) + (4*g1^7*t^7.646)/g2 + (2*g2^3*t^7.729)/g1^5 + (g1^12*t^7.751)/g2^12 + (g1^6*t^7.793)/g2^10 + (2*t^7.834)/g2^8 + (5*t^7.876)/(g1^6*g2^6) + t^7.917/(g1^12*g2^4) + (2*t^7.959)/(g1^18*g2^2) + t^8.001/g1^24 - 3*g1^9*g2*t^8.02 - g1^3*g2^3*t^8.062 + (g2^7*t^8.145)/g1^9 - (6*t^8.251)/(g1^4*g2^4) + (2*t^8.292)/(g1^10*g2^2) - 2*g1^11*g2^3*t^8.395 - 2*g1^5*g2^5*t^8.437 + (3*t^8.481)/(g1^17*g2^9) - (9*g1^4*t^8.584)/g2^4 - (8*t^8.667)/g1^8 + (g2^2*t^8.708)/g1^14 - g1^7*g2^7*t^8.812 + (6*t^8.814)/(g1^9*g2^9) - g1*g2^9*t^8.853 + (2*t^8.855)/(g1^15*g2^7) + (2*t^8.897)/(g1^21*g2^5) - (2*g1^12*t^8.917)/g2^4 + (2*g1^6*t^8.958)/g2^2 - t^4.313/(g1*g2*y) - (2*t^6.563)/(g1^5*g2^5*y) - (g1^3*t^6.896)/(g2^5*y) - t^6.938/(g1^3*g2^3*y) - t^6.98/(g1^9*g2*y) + t^7.501/(g1^8*g2^8*y) + (g1^7*t^7.646)/(g2*y) + (g1*g2*t^7.687)/y + (g2^3*t^7.729)/(g1^5*y) + (2*t^7.834)/(g2^8*y) + (2*t^7.876)/(g1^6*g2^6*y) + (2*t^7.917)/(g1^12*g2^4*y) + (2*g1^3*g2^3*t^8.062)/y + (g1^2*t^8.209)/(g2^6*y) + (5*t^8.251)/(g1^4*g2^4*y) + t^8.292/(g1^10*g2^2*y) + (2*g1^4*t^8.584)/(g2^4*y) + (2*t^8.625)/(g1^2*g2^2*y) + (2*t^8.667)/(g1^8*y) - (3*t^8.814)/(g1^9*g2^9*y) - (t^4.313*y)/(g1*g2) - (2*t^6.563*y)/(g1^5*g2^5) - (g1^3*t^6.896*y)/g2^5 - (t^6.938*y)/(g1^3*g2^3) - (t^6.98*y)/(g1^9*g2) + (t^7.501*y)/(g1^8*g2^8) + (g1^7*t^7.646*y)/g2 + g1*g2*t^7.687*y + (g2^3*t^7.729*y)/g1^5 + (2*t^7.834*y)/g2^8 + (2*t^7.876*y)/(g1^6*g2^6) + (2*t^7.917*y)/(g1^12*g2^4) + 2*g1^3*g2^3*t^8.062*y + (g1^2*t^8.209*y)/g2^6 + (5*t^8.251*y)/(g1^4*g2^4) + (t^8.292*y)/(g1^10*g2^2) + (2*g1^4*t^8.584*y)/g2^4 + (2*t^8.625*y)/(g1^2*g2^2) + (2*t^8.667*y)/g1^8 - (3*t^8.814*y)/(g1^9*g2^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1402 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.7086 | 0.8735 | 0.8112 | [M:[1.0, 0.9207, 1.0793, 0.8413, 1.0, 0.9207], q:[0.4603, 0.5397], qb:[0.4603, 0.619], phi:[0.4802]] | t^2.524 + 2*t^2.762 + t^2.881 + 2*t^3. + t^3.238 + 3*t^4.202 + 2*t^4.44 + 3*t^4.679 + t^4.917 + t^5.048 + t^5.155 + 2*t^5.286 + t^5.405 + 3*t^5.524 + 2*t^5.643 + 3*t^5.762 + 2*t^5.881 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 1403 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7344 | 0.9115 | 0.8058 | [M:[1.0, 0.8102, 0.8102, 1.0, 1.0, 0.8102], q:[0.5949, 0.4051], qb:[0.5949, 0.5949], phi:[0.4525]] | 3*t^2.431 + t^2.715 + 3*t^3. + t^3.788 + 3*t^4.358 + 6*t^4.861 + 6*t^4.927 + 3*t^5.146 + 7*t^5.431 + 3*t^5.715 - 4*t^6. - t^4.358/y - t^4.358*y | detail | |
| 1404 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7686 | 0.9726 | 0.7902 | [M:[1.0, 0.7511, 0.8907, 0.8603, 1.0, 0.7511, 0.6715], q:[0.5546, 0.4454], qb:[0.5546, 0.6943], phi:[0.4378]] | t^2.015 + 2*t^2.253 + t^2.581 + t^2.627 + t^2.672 + 2*t^3. + t^4.029 + 2*t^4.268 + 2*t^4.313 + 3*t^4.506 + t^4.595 + 4*t^4.641 + t^4.687 + t^4.732 + 2*t^4.834 + 2*t^4.88 + 2*t^4.925 + 2*t^5.015 + 2*t^5.06 + t^5.162 + t^5.208 + 5*t^5.253 + t^5.299 + t^5.344 + t^5.479 + 2*t^5.627 - 3*t^6. - t^4.313/y - t^4.313*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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |