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 |
|---|---|---|---|---|---|---|---|---|---|
| 45460 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4\phi_1^4$ | 1.7981 | 1.9206 | 0.9362 | [X:[1.36], M:[0.88, 0.88, 0.8, 0.72], q:[0.48, 0.56], qb:[], phi:[0.32]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 449529/250000, c: 240077/125000, X1: 34/25, M1: 22/25, M2: 22/25, M3: 4/5, M4: 18/25, q1: 12/25, q2: 14/25, phi1: 8/25} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ M_2$, $ q_1^2$, $ q_1q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ M_2M_3$, $ M_4q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_3q_1^2$, $ M_4q_1q_2$, $ \phi_1^2q_2^2$, $ M_1q_1^2$, $ M_2q_1^2$, $ M_3q_1q_2$, $ M_1q_1q_2$, $ M_2q_1q_2$ | $\phi_1^3q_1q_2$ | 0 | t^2.16 + t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^4.08 + t^4.32 + t^4.56 + 4*t^4.8 + 4*t^5.04 + 6*t^5.28 + 3*t^5.52 + 2*t^5.76 + t^6.24 + 2*t^6.48 + 4*t^6.72 + 5*t^6.96 + 7*t^7.2 + 11*t^7.44 + 10*t^7.68 + 12*t^7.92 + 8*t^8.16 + 4*t^8.4 - t^8.64 + 3*t^8.88 - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^6.12/y - t^6.36/y - (2*t^6.6)/y - t^6.84/y - t^7.08/y - (2*t^8.04)/y - t^8.28/y - t^8.52/y - (3*t^8.76)/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y - t^6.12*y - t^6.36*y - 2*t^6.6*y - t^6.84*y - t^7.08*y - 2*t^8.04*y - t^8.28*y - t^8.52*y - 3*t^8.76*y | t^2.16 + t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^4.08 + t^4.32 + t^4.56 + 4*t^4.8 + 4*t^5.04 + 6*t^5.28 + 3*t^5.52 + 2*t^5.76 + t^6.24 + 2*t^6.48 + 4*t^6.72 + 5*t^6.96 + 7*t^7.2 + 11*t^7.44 + 10*t^7.68 + 12*t^7.92 + 8*t^8.16 + 4*t^8.4 - t^8.64 + 3*t^8.88 - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^6.12/y - t^6.36/y - (2*t^6.6)/y - t^6.84/y - t^7.08/y - (2*t^8.04)/y - t^8.28/y - t^8.52/y - (3*t^8.76)/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y - t^6.12*y - t^6.36*y - 2*t^6.6*y - t^6.84*y - t^7.08*y - 2*t^8.04*y - t^8.28*y - t^8.52*y - 3*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 45565 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4\phi_1^4$ + $ M_5q_1q_2$ | 1.8018 | 1.9268 | 0.9351 | [X:[1.36], M:[0.88, 0.88, 0.8, 0.72, 0.96], q:[0.48, 0.56], qb:[], phi:[0.32]] | t^2.16 + t^2.4 + 2*t^2.64 + 2*t^2.88 + 2*t^4.08 + t^4.32 + t^4.56 + 4*t^4.8 + 5*t^5.04 + 6*t^5.28 + 4*t^5.52 + 2*t^5.76 - t^6. - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y | detail | {a: 225231/125000, c: 30107/15625, X1: 34/25, M1: 22/25, M2: 22/25, M3: 4/5, M4: 18/25, M5: 24/25, q1: 12/25, q2: 14/25, phi1: 8/25} |
| 45535 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4\phi_1^4$ + $ M_5q_1^2$ | 1.7944 | 1.9144 | 0.9373 | [X:[1.36], M:[0.88, 0.88, 0.8, 0.72, 1.04], q:[0.48, 0.56], qb:[], phi:[0.32]] | t^2.16 + t^2.4 + 2*t^2.64 + 2*t^3.12 + 2*t^4.08 + t^4.32 + t^4.56 + 4*t^4.8 + 3*t^5.04 + 6*t^5.28 + 2*t^5.52 + 3*t^5.76 - t^6. - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y | detail | {a: 112149/62500, c: 119649/62500, X1: 34/25, M1: 22/25, M2: 22/25, M3: 4/5, M4: 18/25, M5: 26/25, q1: 12/25, q2: 14/25, phi1: 8/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45261 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ | 1.778 | 1.883 | 0.9442 | [X:[1.36], M:[0.88, 0.88, 0.8], q:[0.48, 0.56], qb:[], phi:[0.32]] | t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.84 + 2*t^4.08 + 2*t^4.8 + 3*t^5.04 + 5*t^5.28 + 3*t^5.52 + 2*t^5.76 - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y | detail | {a: 44451/25000, c: 11769/6250, X1: 34/25, M1: 22/25, M2: 22/25, M3: 4/5, q1: 12/25, q2: 14/25, phi1: 8/25} |