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 |
|---|---|---|---|---|---|---|---|---|---|
| 45247 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ | 1.7614 | 1.8591 | 0.9475 | [X:[1.375], M:[0.875, 0.75], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 230871/131072, c: 243671/131072, X1: 11/8, M1: 7/8, M2: 3/4, q1: 1/2, q2: 9/16, phi1: 5/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_2^2$, $ M_1M_2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2q_1^2$, $ \phi_1^2q_2^2$, $ M_2q_1q_2$, $ M_1q_1^2$, $ M_2q_2^2$, $ M_2\phi_1^2q_2$ | $\phi_1^3q_1q_2$ | 1 | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + 2*t^4.12 + t^4.5 + 2*t^4.88 + t^5.06 + 3*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 + t^6. + 3*t^6.38 + 2*t^6.56 + 4*t^6.75 + 4*t^7.12 + 3*t^7.31 + 6*t^7.5 + 3*t^7.69 + 4*t^7.88 + 2*t^8.06 + 7*t^8.25 + 2*t^8.44 + 4*t^8.62 + 2*t^8.81 - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^6.19/y - t^6.56/y - t^6.94/y - t^7.12/y - t^7.31/y - t^7.5/y - t^7.69/y - (3*t^8.06)/y + t^8.25/y - t^8.44/y - (2*t^8.81)/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y - t^6.19*y - t^6.56*y - t^6.94*y - t^7.12*y - t^7.31*y - t^7.5*y - t^7.69*y - 3*t^8.06*y + t^8.25*y - t^8.44*y - 2*t^8.81*y | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + 2*t^4.12 + t^4.5 + 2*t^4.88 + t^5.06 + 3*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 + t^6. + 3*t^6.38 + 2*t^6.56 + 4*t^6.75 + 4*t^7.12 + 3*t^7.31 + 6*t^7.5 + 3*t^7.69 + 4*t^7.88 + 2*t^8.06 + 7*t^8.25 + 2*t^8.44 + 4*t^8.62 + 2*t^8.81 - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^6.19/y - t^6.56/y - t^6.94/y - t^7.12/y - t^7.31/y - t^7.5/y - t^7.69/y - (3*t^8.06)/y + t^8.25/y - t^8.44/y - (2*t^8.81)/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y - t^6.19*y - t^6.56*y - t^6.94*y - t^7.12*y - t^7.31*y - t^7.5*y - t^7.69*y - 3*t^8.06*y + t^8.25*y - t^8.44*y - 2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 45410 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_1M_3$ | 1.7502 | 1.8401 | 0.9512 | [X:[1.375], M:[0.875, 0.75, 1.125], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.25 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + 2*t^4.12 + t^4.5 + t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 2*t^5.62 - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 229407/131072, c: 241183/131072, X1: 11/8, M1: 7/8, M2: 3/4, M3: 9/8, q1: 1/2, q2: 9/16, phi1: 5/16} |
| 45335 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3\phi_1^2q_2$ | 1.7771 | 1.8865 | 0.942 | [X:[1.375], M:[0.875, 0.75, 0.8125], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.25 + t^2.44 + t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^4.12 + t^4.5 + t^4.69 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 3*t^5.62 + t^5.81 + t^6. - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 58233/32768, c: 61817/32768, X1: 11/8, M1: 7/8, M2: 3/4, M3: 13/16, q1: 1/2, q2: 9/16, phi1: 5/16} |
| 45278 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1q_2$ | 1.7672 | 1.8688 | 0.9457 | [X:[1.375], M:[0.875, 0.75, 0.9375], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.56 + 2*t^4.12 + t^4.5 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + t^5.44 + 3*t^5.62 + t^5.81 + t^6. - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 115815/65536, c: 122471/65536, X1: 11/8, M1: 7/8, M2: 3/4, M3: 15/16, q1: 1/2, q2: 9/16, phi1: 5/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45055 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ | 1.7424 | 1.8244 | 0.955 | [X:[1.375], M:[0.875], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + 2*t^4.12 + t^4.88 + t^5.06 + 2*t^5.25 + t^5.62 + t^6. - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 228375/131072, c: 239127/131072, X1: 11/8, M1: 7/8, q1: 1/2, q2: 9/16, phi1: 5/16} |