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 |
|---|---|---|---|---|---|---|---|---|---|
| 1978 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6701 | 0.8368 | 0.8008 | [M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | [M:[[8], [-4], [10], [-8], [-8], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.166 + 2*t^2.556 + t^2.722 + t^2.805 + t^3.278 + t^3.361 + t^3.917 + t^4. + t^4.083 + t^4.332 + t^4.39 + t^4.556 + 3*t^4.722 + t^4.888 + t^4.971 + 3*t^5.112 + 2*t^5.278 + t^5.361 + 2*t^5.444 + t^5.527 + t^5.61 + t^5.834 + 2*t^5.917 - 2*t^6. + 2*t^6.083 + t^6.166 + t^6.249 + t^6.473 + t^6.497 + 2*t^6.556 + t^6.639 + t^6.722 + t^6.805 + 3*t^6.888 + 2*t^6.946 + t^7.054 + 2*t^7.112 + t^7.136 + 5*t^7.278 + 3*t^7.444 + t^7.527 + 2*t^7.61 + 4*t^7.668 + t^7.693 + t^7.775 + 2*t^7.834 + t^7.917 + 2*t^8. + 2*t^8.083 + 2*t^8.249 + t^8.307 + t^8.332 + t^8.39 + 2*t^8.415 + 3*t^8.473 - 5*t^8.556 + 2*t^8.639 + t^8.663 + t^8.781 + t^8.946 + 2*t^8.971 - t^4.361/y - t^6.527/y - t^6.917/y - t^7.166/y + t^7.556/y + (2*t^7.722)/y + t^7.805/y + t^7.888/y + t^7.971/y + t^8.112/y + t^8.195/y + (2*t^8.278)/y + (2*t^8.361)/y + t^8.444/y + (2*t^8.527)/y - t^8.693/y + (2*t^8.834)/y + (2*t^8.917)/y - t^4.361*y - t^6.527*y - t^6.917*y - t^7.166*y + t^7.556*y + 2*t^7.722*y + t^7.805*y + t^7.888*y + t^7.971*y + t^8.112*y + t^8.195*y + 2*t^8.278*y + 2*t^8.361*y + t^8.444*y + 2*t^8.527*y - t^8.693*y + 2*t^8.834*y + 2*t^8.917*y | g1^12*t^2.166 + (2*t^2.556)/g1^8 + g1^4*t^2.722 + g1^10*t^2.805 + t^3.278/g1^4 + g1^2*t^3.361 + t^3.917/g1^6 + t^4. + g1^6*t^4.083 + g1^24*t^4.332 + t^4.39/g1^20 + t^4.556/g1^8 + 3*g1^4*t^4.722 + g1^16*t^4.888 + g1^22*t^4.971 + (3*t^5.112)/g1^16 + (2*t^5.278)/g1^4 + g1^2*t^5.361 + 2*g1^8*t^5.444 + g1^14*t^5.527 + g1^20*t^5.61 + t^5.834/g1^12 + (2*t^5.917)/g1^6 - 2*t^6. + 2*g1^6*t^6.083 + g1^12*t^6.166 + g1^18*t^6.249 + t^6.473/g1^14 + g1^36*t^6.497 + (2*t^6.556)/g1^8 + t^6.639/g1^2 + g1^4*t^6.722 + g1^10*t^6.805 + 3*g1^16*t^6.888 + (2*t^6.946)/g1^28 + g1^28*t^7.054 + (2*t^7.112)/g1^16 + g1^34*t^7.136 + (5*t^7.278)/g1^4 + 3*g1^8*t^7.444 + g1^14*t^7.527 + 2*g1^20*t^7.61 + (4*t^7.668)/g1^24 + g1^26*t^7.693 + g1^32*t^7.775 + (2*t^7.834)/g1^12 + t^7.917/g1^6 + 2*t^8. + 2*g1^6*t^8.083 + 2*g1^18*t^8.249 + t^8.307/g1^26 + g1^24*t^8.332 + t^8.39/g1^20 + 2*g1^30*t^8.415 + (3*t^8.473)/g1^14 - (5*t^8.556)/g1^8 + (2*t^8.639)/g1^2 + g1^48*t^8.663 + t^8.781/g1^40 + t^8.946/g1^28 + 2*g1^22*t^8.971 - (g1^2*t^4.361)/y - (g1^14*t^6.527)/y - t^6.917/(g1^6*y) - (g1^12*t^7.166)/y + t^7.556/(g1^8*y) + (2*g1^4*t^7.722)/y + (g1^10*t^7.805)/y + (g1^16*t^7.888)/y + (g1^22*t^7.971)/y + t^8.112/(g1^16*y) + t^8.195/(g1^10*y) + (2*t^8.278)/(g1^4*y) + (2*g1^2*t^8.361)/y + (g1^8*t^8.444)/y + (2*g1^14*t^8.527)/y - (g1^26*t^8.693)/y + (2*t^8.834)/(g1^12*y) + (2*t^8.917)/(g1^6*y) - g1^2*t^4.361*y - g1^14*t^6.527*y - (t^6.917*y)/g1^6 - g1^12*t^7.166*y + (t^7.556*y)/g1^8 + 2*g1^4*t^7.722*y + g1^10*t^7.805*y + g1^16*t^7.888*y + g1^22*t^7.971*y + (t^8.112*y)/g1^16 + (t^8.195*y)/g1^10 + (2*t^8.278*y)/g1^4 + 2*g1^2*t^8.361*y + g1^8*t^8.444*y + 2*g1^14*t^8.527*y - g1^26*t^8.693*y + (2*t^8.834*y)/g1^12 + (2*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 3028 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6299 | 0.7965 | 0.7908 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.182 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + 2*t^3.455 + t^3.636 + t^4. + t^4.182 + 4*t^4.364 + 3*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 5*t^5.636 + 3*t^5.818 - t^6. - t^4.455/y - t^4.455*y | detail | {a: 2515/3993, c: 6361/7986, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 3029 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6654 | 0.8297 | 0.8019 | [M:[1.1705, 1.0814, 0.9631, 0.8295, 0.8295, 0.7558, 1.0369], q:[0.7704, 0.3556], qb:[0.4739, 0.563], phi:[0.4593]] | t^2.267 + 2*t^2.488 + t^2.756 + t^3.111 + t^3.244 + t^3.378 + t^3.866 + t^4. + t^4.134 + t^4.221 + t^4.488 + t^4.535 + 3*t^4.756 + 3*t^4.977 + t^5.023 + 2*t^5.244 + 2*t^5.512 + 2*t^5.599 + t^5.733 + 3*t^5.866 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 3030 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6618 | 0.823 | 0.8042 | [M:[1.1565, 1.0884, 0.9456, 0.8435, 0.8435, 0.7347, 1.0884], q:[0.7721, 0.3503], qb:[0.4932, 0.5612], phi:[0.4558]] | t^2.204 + 2*t^2.531 + t^2.837 + 2*t^3.265 + t^3.367 + t^3.898 + t^4. + t^4.102 + t^4.327 + t^4.408 + t^4.531 + 3*t^4.735 + t^5.041 + 3*t^5.061 + t^5.367 + 2*t^5.469 + t^5.673 + 3*t^5.796 + 2*t^5.898 - 3*t^6. - t^4.367/y - t^4.367*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 |
|---|---|---|---|---|---|---|---|---|---|
| 711 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6503 | 0.8006 | 0.8123 | [M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | 2*t^2.525 + t^2.738 + t^2.844 + t^3.262 + t^3.369 + t^3.787 + t^3.894 + t^4. + t^4.106 + t^4.312 + t^4.525 + t^4.738 + 3*t^5.05 + 2*t^5.262 + t^5.369 + t^5.475 + t^5.688 + t^5.787 + 2*t^5.894 - 2*t^6. - t^4.369/y - t^4.369*y | detail |