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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | [M:[[8], [-4], [10], [-8], [6]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. + 2*t^6.059 + 2*t^6.118 + 2*t^6.176 + t^6.471 + t^6.588 + t^6.647 + t^6.706 + 3*t^6.765 + 2*t^6.823 + t^6.882 + t^7.059 + 2*t^7.177 + t^7.235 + t^7.294 + t^7.353 + 3*t^7.412 + 3*t^7.47 + t^7.529 + t^7.588 + 2*t^7.765 + t^7.882 + 2*t^8. - t^8.059 + 4*t^8.118 + 2*t^8.176 + 2*t^8.235 + t^8.294 + t^8.353 + t^8.471 + t^8.53 - t^8.588 + 3*t^8.823 + 3*t^8.882 + 3*t^8.941 - t^4.353/y - t^6.412/y - t^7.118/y + t^7.588/y + t^7.647/y + t^7.765/y + t^7.823/y + (2*t^8.294)/y + (2*t^8.353)/y + t^8.412/y + t^8.47/y + t^8.882/y + (2*t^8.941)/y - t^4.353*y - t^6.412*y - t^7.118*y + t^7.588*y + t^7.647*y + t^7.765*y + t^7.823*y + 2*t^8.294*y + 2*t^8.353*y + t^8.412*y + t^8.47*y + t^8.882*y + 2*t^8.941*y | g1^6*t^2.059 + t^2.588/g1^8 + g1^4*t^2.706 + g1^10*t^2.765 + t^3.294/g1^4 + g1^2*t^3.353 + g1^8*t^3.412 + t^3.882/g1^12 + t^4. + g1^6*t^4.059 + g1^12*t^4.118 + t^4.471/g1^20 + t^4.588/g1^8 + t^4.647/g1^2 + g1^4*t^4.706 + g1^10*t^4.765 + g1^16*t^4.823 + t^5.177/g1^16 + t^5.294/g1^4 + g1^2*t^5.353 + 2*g1^8*t^5.412 + g1^14*t^5.47 + g1^20*t^5.529 + (2*t^5.941)/g1^6 - t^6. + 2*g1^6*t^6.059 + 2*g1^12*t^6.118 + 2*g1^18*t^6.176 + t^6.471/g1^20 + t^6.588/g1^8 + t^6.647/g1^2 + g1^4*t^6.706 + 3*g1^10*t^6.765 + 2*g1^16*t^6.823 + g1^22*t^6.882 + t^7.059/g1^28 + (2*t^7.177)/g1^16 + t^7.235/g1^10 + t^7.294/g1^4 + g1^2*t^7.353 + 3*g1^8*t^7.412 + 3*g1^14*t^7.47 + g1^20*t^7.529 + g1^26*t^7.588 + (2*t^7.765)/g1^24 + t^7.882/g1^12 + 2*t^8. - g1^6*t^8.059 + 4*g1^12*t^8.118 + 2*g1^18*t^8.176 + 2*g1^24*t^8.235 + g1^30*t^8.294 + t^8.353/g1^32 + t^8.471/g1^20 + t^8.53/g1^14 - t^8.588/g1^8 + 3*g1^16*t^8.823 + 3*g1^22*t^8.882 + t^8.941/g1^40 + 2*g1^28*t^8.941 - (g1^2*t^4.353)/y - (g1^8*t^6.412)/y - (g1^12*t^7.118)/y + t^7.588/(g1^8*y) + t^7.647/(g1^2*y) + (g1^10*t^7.765)/y + (g1^16*t^7.823)/y + (2*t^8.294)/(g1^4*y) + (2*g1^2*t^8.353)/y + (g1^8*t^8.412)/y + (g1^14*t^8.47)/y + t^8.882/(g1^12*y) + (2*t^8.941)/(g1^6*y) - g1^2*t^4.353*y - g1^8*t^6.412*y - g1^12*t^7.118*y + (t^7.588*y)/g1^8 + (t^7.647*y)/g1^2 + g1^10*t^7.765*y + g1^16*t^7.823*y + (2*t^8.294*y)/g1^4 + 2*g1^2*t^8.353*y + g1^8*t^8.412*y + g1^14*t^8.47*y + (t^8.882*y)/g1^12 + (2*t^8.941*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 |
|---|---|---|---|---|---|---|---|---|
| 1165 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6366 | 0.7943 | 0.8014 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.286 + t^2.857 + 2*t^3.143 + 2*t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 + t^6. - t^4.429/y - t^4.429*y | detail | {a: 10481/16464, c: 6539/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 1164 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6523 | 0.8085 | 0.8069 | [M:[1.1652, 1.0841, 0.9565, 0.8348, 0.7073, 1.0435], q:[0.771, 0.3536], qb:[0.4811, 0.5623], phi:[0.458]] | t^2.122 + t^2.504 + t^2.748 + t^3.13 + t^3.252 + t^3.374 + t^3.496 + t^3.756 + t^4. + t^4.122 + t^4.244 + t^4.261 + t^4.504 + t^4.626 + t^4.748 + t^4.87 + t^5.009 + 2*t^5.252 + 2*t^5.496 + t^5.635 + 3*t^5.878 - t^6. - t^4.374/y - t^4.374*y | detail | |
| 1163 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.6498 | 0.8082 | 0.8041 | [M:[1.2, 1.0667, 1.0, 0.8, 0.7333], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 3899/6000, c: 4849/6000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 11/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
| 1167 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6493 | 0.8027 | 0.8089 | [M:[1.1478, 1.0927, 0.9348, 0.8522, 0.6942, 1.0927], q:[0.7732, 0.3471], qb:[0.505, 0.5601], phi:[0.4536]] | t^2.083 + t^2.556 + t^2.804 + 2*t^3.278 + t^3.361 + t^3.444 + t^3.835 + t^4. + t^4.083 + t^4.165 + t^4.391 + t^4.556 + t^4.639 + t^4.722 + t^4.887 + t^5.113 + 2*t^5.361 + t^5.444 + t^5.609 + t^5.835 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y | detail | |
| 1166 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6686 | 0.8353 | 0.8005 | [M:[1.1423, 1.0955, 0.9278, 0.8577, 0.69, 0.8811], q:[0.7739, 0.345], qb:[0.5127, 0.5595], phi:[0.4522]] | t^2.07 + t^2.573 + t^2.643 + t^2.713 + t^2.784 + t^3.287 + t^3.427 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.433 + t^4.573 + t^4.643 + 2*t^4.713 + t^4.784 + t^4.854 + t^5.146 + t^5.216 + 2*t^5.287 + 2*t^5.357 + 2*t^5.427 + t^5.497 + t^5.567 + 2*t^5.93 - t^6. - t^4.357/y - t^4.357*y | detail | |
| 1979 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6785 | 0.8569 | 0.7919 | [M:[1.1312, 1.1011, 0.914, 0.8688, 0.6817, 0.6968], q:[0.7753, 0.3409], qb:[0.5279, 0.5581], phi:[0.4495]] | t^2.045 + t^2.09 + t^2.606 + t^2.697 + t^2.742 + t^3.303 + t^3.348 + t^3.394 + t^4. + t^4.045 + t^4.09 + t^4.136 + t^4.181 + t^4.516 + t^4.606 + t^4.652 + 2*t^4.697 + t^4.742 + 2*t^4.787 + t^4.833 + t^5.213 + t^5.303 + t^5.348 + 3*t^5.394 + 2*t^5.439 + 2*t^5.484 + t^5.955 - t^6. - t^4.348/y - t^4.348*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 |
|---|---|---|---|---|---|---|---|---|---|
| 427 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail |