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 |
|---|---|---|---|---|---|---|---|---|---|
| 683 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6802 | 0.8389 | 0.8108 | [M:[1.0, 1.1152, 0.9814, 0.8848, 0.6914], q:[0.7788, 0.4331], qb:[0.5669, 0.4517], phi:[0.4424]] | [M:[[0], [4], [-18], [-4], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.074 + 2*t^2.654 + t^2.944 + t^3. + t^3.636 + t^3.691 + t^3.981 + 2*t^4.037 + t^4.148 + t^4.327 + t^4.383 + 3*t^4.729 + t^5.019 + t^5.074 + 3*t^5.309 + t^5.599 + t^5.654 + t^5.71 + t^5.766 + t^5.889 - 2*t^6. + 2*t^6.111 + t^6.223 + t^6.29 + t^6.457 + t^6.58 + 3*t^6.636 + 3*t^6.691 + 3*t^6.803 + 2*t^6.981 + 2*t^7.037 + t^7.093 + t^7.148 + 4*t^7.383 + 2*t^7.673 + 2*t^7.729 + t^7.784 + t^7.84 + 5*t^7.963 + 2*t^8.019 + 2*t^8.186 + t^8.253 + t^8.297 + 2*t^8.364 + 2*t^8.42 + t^8.531 + t^8.543 - t^8.599 - 4*t^8.654 + t^8.71 + 5*t^8.766 + t^8.833 + 3*t^8.877 - t^8.944 - t^4.327/y - t^6.401/y - t^6.981/y - t^7.271/y + t^7.383/y + t^7.673/y + (2*t^7.729)/y + t^8.019/y + t^8.074/y + t^8.253/y + t^8.309/y - t^8.476/y + (2*t^8.599)/y + (2*t^8.654)/y + t^8.71/y + t^8.766/y + t^8.944/y - t^4.327*y - t^6.401*y - t^6.981*y - t^7.271*y + t^7.383*y + t^7.673*y + 2*t^7.729*y + t^8.019*y + t^8.074*y + t^8.253*y + t^8.309*y - t^8.476*y + 2*t^8.599*y + 2*t^8.654*y + t^8.71*y + t^8.766*y + t^8.944*y | g1^24*t^2.074 + (2*t^2.654)/g1^4 + t^2.944/g1^18 + t^3. + t^3.636/g1^10 + g1^8*t^3.691 + t^3.981/g1^6 + 2*g1^12*t^4.037 + g1^48*t^4.148 + t^4.327/g1^2 + g1^16*t^4.383 + 3*g1^20*t^4.729 + g1^6*t^5.019 + g1^24*t^5.074 + (3*t^5.309)/g1^8 + t^5.599/g1^22 + t^5.654/g1^4 + g1^14*t^5.71 + g1^32*t^5.766 + t^5.889/g1^36 - 2*t^6. + 2*g1^36*t^6.111 + g1^72*t^6.223 + t^6.29/g1^14 + g1^40*t^6.457 + t^6.58/g1^28 + (3*t^6.636)/g1^10 + 3*g1^8*t^6.691 + 3*g1^44*t^6.803 + (2*t^6.981)/g1^6 + 2*g1^12*t^7.037 + g1^30*t^7.093 + g1^48*t^7.148 + 4*g1^16*t^7.383 + 2*g1^2*t^7.673 + 2*g1^20*t^7.729 + g1^38*t^7.784 + g1^56*t^7.84 + (5*t^7.963)/g1^12 + 2*g1^6*t^8.019 + 2*g1^60*t^8.186 + t^8.253/g1^26 + g1^96*t^8.297 + 2*g1^10*t^8.364 + 2*g1^28*t^8.42 + g1^64*t^8.531 + t^8.543/g1^40 - t^8.599/g1^22 - (4*t^8.654)/g1^4 + g1^14*t^8.71 + 5*g1^32*t^8.766 + t^8.833/g1^54 + 3*g1^68*t^8.877 - t^8.944/g1^18 - t^4.327/(g1^2*y) - (g1^22*t^6.401)/y - t^6.981/(g1^6*y) - t^7.271/(g1^20*y) + (g1^16*t^7.383)/y + (g1^2*t^7.673)/y + (2*g1^20*t^7.729)/y + (g1^6*t^8.019)/y + (g1^24*t^8.074)/y + t^8.253/(g1^26*y) + t^8.309/(g1^8*y) - (g1^46*t^8.476)/y + (2*t^8.599)/(g1^22*y) + (2*t^8.654)/(g1^4*y) + (g1^14*t^8.71)/y + (g1^32*t^8.766)/y + t^8.944/(g1^18*y) - (t^4.327*y)/g1^2 - g1^22*t^6.401*y - (t^6.981*y)/g1^6 - (t^7.271*y)/g1^20 + g1^16*t^7.383*y + g1^2*t^7.673*y + 2*g1^20*t^7.729*y + g1^6*t^8.019*y + g1^24*t^8.074*y + (t^8.253*y)/g1^26 + (t^8.309*y)/g1^8 - g1^46*t^8.476*y + (2*t^8.599*y)/g1^22 + (2*t^8.654*y)/g1^4 + g1^14*t^8.71*y + g1^32*t^8.766*y + (t^8.944*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1099 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6614 | 0.8132 | 0.8134 | [M:[1.0, 1.1429, 0.8571, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 4*t^2.571 + t^3. + t^3.429 + 2*t^3.857 + 3*t^4.286 + t^4.714 + 10*t^5.143 + 2*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 1815/2744, c: 4463/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, M5: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 1100 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6778 | 0.8341 | 0.8127 | [M:[1.0, 1.125, 0.9375, 0.875, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + 2*t^2.625 + t^2.813 + t^3. + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + t^5.063 + 4*t^5.25 + t^5.438 + 2*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 44421/65536, c: 54661/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 1096 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6175 | 0.7633 | 0.809 | [M:[1.0, 1.1667, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] | t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 4*t^5. + t^5.25 + 5*t^5.5 + t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1897/3072, c: 2345/3072, M1: 1, M2: 7/6, M3: 3/4, M4: 5/6, M5: 1, q1: 19/24, q2: 7/24, qb1: 17/24, qb2: 13/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 416 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6597 | 0.7994 | 0.8252 | [M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] | 2*t^2.647 + t^2.911 + t^3. + t^3.617 + t^3.706 + t^3.882 + t^3.97 + 2*t^4.059 + t^4.323 + t^4.412 + t^4.765 + 3*t^5.294 + t^5.558 + t^5.647 + t^5.822 - 2*t^6. - t^4.323/y - t^4.323*y | detail |