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 |
|---|---|---|---|---|---|---|---|---|---|
| 828 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7059 | 0.868 | 0.8133 | [M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | [M:[[-4, -4], [2, 2], [0, 0], [4, 4], [-8, -8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.552 + 2*t^2.776 + t^3. + t^3.099 + t^3.112 + t^3.125 + t^4.121 + t^4.22 + t^4.319 + t^4.444 + t^4.543 + t^4.569 + t^4.668 + t^4.767 + t^4.892 + t^5.017 + t^5.105 + 2*t^5.329 + 3*t^5.552 + t^5.664 + t^5.776 + t^5.875 + 2*t^5.888 + t^5.901 - 3*t^6. + t^6.112 + t^6.198 + t^6.211 + t^6.237 + t^6.25 - t^6.323 - t^6.349 - t^6.448 + t^6.674 + t^6.773 + t^6.872 + 2*t^6.898 + 2*t^6.996 + 2*t^7.095 + t^7.121 + 3*t^7.22 + t^7.246 + 3*t^7.319 + t^7.345 + t^7.418 + t^7.444 + 2*t^7.543 + t^7.569 + t^7.642 + t^7.657 + t^7.668 + t^7.694 + t^7.793 + t^7.866 + 2*t^7.881 + t^8.017 + 3*t^8.105 + t^8.141 + t^8.217 + t^8.243 + 3*t^8.329 + t^8.342 + 3*t^8.441 - t^8.454 + t^8.539 - 2*t^8.552 + t^8.565 + t^8.638 + 4*t^8.664 + t^8.69 + t^8.763 - 7*t^8.776 + t^8.789 + t^8.862 - 2*t^8.875 + 3*t^8.888 - t^8.901 + t^8.974 + 3*t^8.987 - t^4.444/y - t^6.996/y - t^7.22/y + t^7.668/y + t^7.892/y + (2*t^8.329)/y + (2*t^8.552)/y + t^8.651/y + t^8.664/y + t^8.677/y + (2*t^8.776)/y + (2*t^8.875)/y + (2*t^8.888)/y + (2*t^8.901)/y - t^4.444*y - t^6.996*y - t^7.22*y + t^7.668*y + t^7.892*y + 2*t^8.329*y + 2*t^8.552*y + t^8.651*y + t^8.664*y + t^8.677*y + 2*t^8.776*y + 2*t^8.875*y + 2*t^8.888*y + 2*t^8.901*y | t^2.552/(g1^8*g2^8) + (2*t^2.776)/(g1^4*g2^4) + t^3. + (g2^12*t^3.099)/g1^4 + g1^2*g2^2*t^3.112 + (g1^8*t^3.125)/g2^8 + t^4.121/(g1*g2^17) + t^4.22/(g1^5*g2^5) + (g2^7*t^4.319)/g1^9 + t^4.444/(g1*g2) + (g2^11*t^4.543)/g1^5 + (g1^7*t^4.569)/g2^9 + g1^3*g2^3*t^4.668 + (g2^15*t^4.767)/g1 + g1^7*g2^7*t^4.892 + (g1^15*t^5.017)/g2 + t^5.105/(g1^16*g2^16) + (2*t^5.329)/(g1^12*g2^12) + (3*t^5.552)/(g1^8*g2^8) + t^5.664/(g1^6*g2^6) + t^5.776/(g1^4*g2^4) + (g2^8*t^5.875)/g1^8 + (2*t^5.888)/(g1^2*g2^2) + (g1^4*t^5.901)/g2^12 - 3*t^6. + g1^2*g2^2*t^6.112 + (g2^24*t^6.198)/g1^8 + (g2^14*t^6.211)/g1^2 + (g1^10*t^6.237)/g2^6 + (g1^16*t^6.25)/g2^16 - g2^16*t^6.323 - (g1^12*t^6.349)/g2^4 - g1^8*g2^8*t^6.448 + t^6.674/(g1^9*g2^25) + t^6.773/(g1^13*g2^13) + t^6.872/(g1^17*g2) + (2*t^6.898)/(g1^5*g2^21) + (2*t^6.996)/(g1^9*g2^9) + (2*g2^3*t^7.095)/g1^13 + t^7.121/(g1*g2^17) + (3*t^7.22)/(g1^5*g2^5) + (g1^7*t^7.246)/g2^25 + (3*g2^7*t^7.319)/g1^9 + (g1^3*t^7.345)/g2^13 + (g2^19*t^7.418)/g1^13 + t^7.444/(g1*g2) + (2*g2^11*t^7.543)/g1^5 + (g1^7*t^7.569)/g2^9 + (g2^23*t^7.642)/g1^9 + t^7.657/(g1^24*g2^24) + g1^3*g2^3*t^7.668 + (g1^15*t^7.694)/g2^17 + (g1^11*t^7.793)/g2^5 + (g2^27*t^7.866)/g1^5 + (2*t^7.881)/(g1^20*g2^20) + (g1^15*t^8.017)/g2 + (3*t^8.105)/(g1^16*g2^16) + (g1^23*t^8.141)/g2^9 + t^8.217/(g1^14*g2^14) + t^8.243/(g1^2*g2^34) + (3*t^8.329)/(g1^12*g2^12) + t^8.342/(g1^6*g2^22) + (3*t^8.441)/(g1^10*g2^10) - t^8.454/(g1^4*g2^20) + (g2^2*t^8.539)/g1^14 - (2*t^8.552)/(g1^8*g2^8) + t^8.565/(g1^2*g2^18) + (g2^14*t^8.638)/g1^18 + (4*t^8.664)/(g1^6*g2^6) + (g1^6*t^8.69)/g2^26 + (g2^6*t^8.763)/g1^10 - (7*t^8.776)/(g1^4*g2^4) + (g1^2*t^8.789)/g2^14 + (g2^18*t^8.862)/g1^14 - (2*g2^8*t^8.875)/g1^8 + (3*t^8.888)/(g1^2*g2^2) - (g1^4*t^8.901)/g2^12 + (g2^20*t^8.974)/g1^12 + (3*g2^10*t^8.987)/g1^6 - t^4.444/(g1*g2*y) - t^6.996/(g1^9*g2^9*y) - t^7.22/(g1^5*g2^5*y) + (g1^3*g2^3*t^7.668)/y + (g1^7*g2^7*t^7.892)/y + (2*t^8.329)/(g1^12*g2^12*y) + (2*t^8.552)/(g1^8*g2^8*y) + (g2^4*t^8.651)/(g1^12*y) + t^8.664/(g1^6*g2^6*y) + t^8.677/(g2^16*y) + (2*t^8.776)/(g1^4*g2^4*y) + (2*g2^8*t^8.875)/(g1^8*y) + (2*t^8.888)/(g1^2*g2^2*y) + (2*g1^4*t^8.901)/(g2^12*y) - (t^4.444*y)/(g1*g2) - (t^6.996*y)/(g1^9*g2^9) - (t^7.22*y)/(g1^5*g2^5) + g1^3*g2^3*t^7.668*y + g1^7*g2^7*t^7.892*y + (2*t^8.329*y)/(g1^12*g2^12) + (2*t^8.552*y)/(g1^8*g2^8) + (g2^4*t^8.651*y)/g1^12 + (t^8.664*y)/(g1^6*g2^6) + (t^8.677*y)/g2^16 + (2*t^8.776*y)/(g1^4*g2^4) + (2*g2^8*t^8.875*y)/g1^8 + (2*t^8.888*y)/(g1^2*g2^2) + (2*g1^4*t^8.901*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1307 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.9322, 1.0339, 1.0, 1.0678, 0.8644, 0.9322], q:[0.5, 0.5678], qb:[0.4322, 0.5678], phi:[0.483]] | t^2.593 + 2*t^2.797 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + 2*t^4.653 + 3*t^4.856 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.797 + 2*t^5.898 - t^6. - t^4.449/y - t^4.449*y | detail | |
| 1306 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.705 | 0.8668 | 0.8134 | [M:[0.929, 1.0355, 1.0, 1.071, 0.858, 0.929], q:[0.4645, 0.6065], qb:[0.4645, 0.5355], phi:[0.4823]] | t^2.574 + 2*t^2.787 + 2*t^3. + t^3.106 + t^3.213 + 3*t^4.234 + 2*t^4.447 + 3*t^4.66 + t^4.873 + t^5.086 + t^5.148 + 2*t^5.361 + 3*t^5.574 + t^5.681 + 2*t^5.787 + 2*t^5.894 - t^6. - t^4.447/y - t^4.447*y | detail | |
| 2013 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.5738 | 0.7167 | 0.8007 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | 2*t^2.143 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.643 + 3*t^4.286 + t^4.714 + 2*t^5.143 + 4*t^5.357 + 3*t^5.571 + 2*t^5.786 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 12597/21952, c: 15733/21952, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 2014 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6744 | 0.8431 | 0.7999 | [M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]] | t^2.046 + 2*t^2.523 + t^2.812 + t^3. + t^3.239 + t^3.665 + t^3.716 + t^3.903 + 2*t^4.091 + t^4.193 + t^4.381 + 2*t^4.568 + t^4.67 + t^4.858 + 4*t^5.046 + t^5.284 + 2*t^5.335 + t^5.523 + t^5.625 + 3*t^5.761 + t^5.949 - 2*t^6. - t^4.381/y - t^4.381*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 |
|---|---|---|---|---|---|---|---|---|---|
| 532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ | 0.6998 | 0.8569 | 0.8166 | [M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | t^2.655 + t^2.827 + t^3. + t^3.079 + t^3.086 + t^3.094 + t^3.173 + t^4.206 + t^4.284 + t^4.363 + t^4.457 + t^4.535 + t^4.551 + t^4.629 + t^4.708 + t^4.802 + t^4.896 + t^5.309 + t^5.482 + t^5.655 + t^5.741 + t^5.827 + t^5.914 - 2*t^6. - t^4.457/y - t^4.457*y | detail |