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 |
|---|---|---|---|---|---|---|---|---|---|
| 4225 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6244 | 0.7853 | 0.795 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 39889/63888, c: 25087/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.182 + t^2.364 + t^2.727 + 2*t^3.091 + t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 2*t^4.909 + t^5.091 + t^5.273 + 3*t^5.455 + 3*t^5.636 + 3*t^5.818 - t^6. + 4*t^6.182 + 2*t^6.364 + 5*t^6.545 + 2*t^6.727 + 3*t^6.909 + 4*t^7.091 + 3*t^7.273 + 3*t^7.455 + 4*t^7.636 + 5*t^7.818 + 3*t^8. + 3*t^8.182 + 2*t^8.364 + 3*t^8.545 + 3*t^8.727 + 5*t^8.909 - t^4.455/y - t^6.818/y + t^7.364/y + t^7.909/y + (2*t^8.091)/y + (2*t^8.273)/y + (3*t^8.455)/y + (3*t^8.636)/y + (4*t^8.818)/y - t^4.455*y - t^6.818*y + t^7.364*y + t^7.909*y + 2*t^8.091*y + 2*t^8.273*y + 3*t^8.455*y + 3*t^8.636*y + 4*t^8.818*y | t^2.182 + t^2.364 + t^2.727 + 2*t^3.091 + t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 2*t^4.909 + t^5.091 + t^5.273 + 3*t^5.455 + 3*t^5.636 + 3*t^5.818 - t^6. + 4*t^6.182 + 2*t^6.364 + 5*t^6.545 + 2*t^6.727 + 3*t^6.909 + 4*t^7.091 + 3*t^7.273 + 3*t^7.455 + 4*t^7.636 + 5*t^7.818 + 3*t^8. + 3*t^8.182 + 2*t^8.364 + 3*t^8.545 + 3*t^8.727 + 5*t^8.909 - t^4.455/y - t^6.818/y + t^7.364/y + t^7.909/y + (2*t^8.091)/y + (2*t^8.273)/y + (3*t^8.455)/y + (3*t^8.636)/y + (4*t^8.818)/y - t^4.455*y - t^6.818*y + t^7.364*y + t^7.909*y + 2*t^8.091*y + 2*t^8.273*y + 3*t^8.455*y + 3*t^8.636*y + 4*t^8.818*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5709 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6327 | 0.7993 | 0.7915 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + 2*t^2.727 + 2*t^3.091 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 3*t^4.909 + 2*t^5.091 + t^5.273 + 4*t^5.455 + 2*t^5.636 + 5*t^5.818 - 2*t^6. - t^4.455/y - t^4.455*y | detail | {a: 10105/15972, c: 12767/15972, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, M8: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 5708 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{7}M_{8}$ | 0.616 | 0.7713 | 0.7987 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091, 1.0909], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + 2*t^3.091 + 2*t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + t^4.909 + t^5.273 + 3*t^5.455 + 4*t^5.636 + t^5.818 - 2*t^6. - t^4.455/y - t^4.455*y | detail | {a: 1789/2904, c: 280/363, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, M8: 12/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 5710 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6376 | 0.808 | 0.7891 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + t^2.545 + t^2.727 + 2*t^3.091 + t^3.273 + t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + 2*t^4.727 + 3*t^4.909 + 2*t^5.091 + 2*t^5.273 + 3*t^5.455 + 4*t^5.636 + 3*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 6789/10648, c: 2151/2662, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, M8: 28/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2224 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6695 | 0.8409 | 0.7962 | [M:[1.1395, 1.0969, 0.9244, 0.8605, 0.688, 1.0969, 0.7093], q:[0.7742, 0.344], qb:[0.5165, 0.5591], phi:[0.4515]] | t^2.064 + t^2.128 + t^2.581 + t^2.773 + 2*t^3.291 + t^3.355 + t^3.419 + t^4. + t^4.064 + t^4.128 + t^4.192 + t^4.256 + t^4.454 + t^4.581 + t^4.645 + 2*t^4.709 + t^4.837 + t^4.901 + t^5.163 + 2*t^5.355 + 3*t^5.419 + t^5.482 + 2*t^5.546 + t^5.872 + t^5.936 - 2*t^6. - t^4.355/y - t^4.355*y | detail |