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 |
|---|---|---|---|---|---|---|---|---|---|
| 45098 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ | 1.752 | 1.852 | 0.946 | [X:[], M:[1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | [X:[], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 219/125, c: 463/250, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ q_2^2$, $ M_1$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^2q_2^2$, $ q_2^4$, $ q_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_2^2$, $ q_2^4$ | $M_2q_1^2$, $ \phi_1^2q_1^3$, $ \phi_1^3q_1q_2$, $ \phi_1^2q_1^2q_2$, $ \phi_1q_1^3q_2$, $ M_2q_2^2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^2q_2^3$, $ \phi_1q_1q_2^3$ | 7 | 2*t^2.4 + 5*t^3.6 + 7*t^4.8 + 7*t^6. + 21*t^7.2 + 21*t^8.4 - t^4.2/y - (2*t^5.4)/y - (3*t^6.6)/y - (7*t^7.8)/y - t^4.2*y - 2*t^5.4*y - 3*t^6.6*y - 7*t^7.8*y | t^2.4/g1^2 + g1^2*t^2.4 + 3*t^3.6 + t^3.6/g1 + g1*t^3.6 + 3*t^4.8 + t^4.8/g1^4 + t^4.8/g1^2 + g1^2*t^4.8 + g1^4*t^4.8 - t^6. + t^6./g1^3 + (2*t^6.)/g1^2 + t^6./g1 + g1*t^6. + 2*g1^2*t^6. + g1^3*t^6. + 7*t^7.2 + t^7.2/g1^6 + t^7.2/g1^4 + (3*t^7.2)/g1^2 + (2*t^7.2)/g1 + 2*g1*t^7.2 + 3*g1^2*t^7.2 + g1^4*t^7.2 + g1^6*t^7.2 + 5*t^8.4 + t^8.4/g1^5 + (2*t^8.4)/g1^4 + (2*t^8.4)/g1^3 + (3*t^8.4)/g1 + 3*g1*t^8.4 + 2*g1^3*t^8.4 + 2*g1^4*t^8.4 + g1^5*t^8.4 - t^4.2/y - t^5.4/(g1*y) - (g1*t^5.4)/y - t^6.6/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y - t^7.8/y - t^7.8/(g1^3*y) - (2*t^7.8)/(g1*y) - (2*g1*t^7.8)/y - (g1^3*t^7.8)/y - t^4.2*y - (t^5.4*y)/g1 - g1*t^5.4*y - t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y - t^7.8*y - (t^7.8*y)/g1^3 - (2*t^7.8*y)/g1 - 2*g1*t^7.8*y - g1^3*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 45241 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ M_2q_2^2$ + $ q_1^2X_1$ | 1.6695 | 1.757 | 0.9502 | [X:[1.4667], M:[1.2, 0.9333], q:[0.2667, 0.5333], qb:[], phi:[0.4]] | t^2.4 + t^2.8 + t^3.2 + 2*t^3.6 + 2*t^4. + t^4.4 + 3*t^4.8 + 3*t^5.6 + 2*t^6. - t^4.2/y - t^5./y - t^5.8/y - t^4.2*y - t^5.*y - t^5.8*y | detail | {a: 3339/2000, c: 1757/1000, X1: 22/15, M1: 6/5, M2: 14/15, q1: 4/15, q2: 8/15, phi1: 2/5} |
| 45136 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2$ | 1.7687 | 1.8815 | 0.94 | [X:[], M:[1.2, 0.7943, 1.2], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | t^2.37 + t^2.38 + t^2.43 + t^3.58 + 3*t^3.6 + t^4.73 + t^4.75 + 2*t^4.77 + 3*t^4.8 + t^4.82 + t^4.83 + t^4.87 + t^5.95 + 3*t^5.97 + 3*t^5.98 - t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y | detail | |
| 45253 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ + $ q_2^4$ + $ q_1^2X_1$ | 1.7075 | 1.8012 | 0.948 | [X:[1.4], M:[1.2, 0.9], q:[0.3, 0.5], qb:[], phi:[0.4]] | t^2.4 + t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 2*t^4.2 + 3*t^4.8 + t^5.1 + 2*t^5.4 + t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 54639/32000, c: 57639/32000, X1: 7/5, M1: 6/5, M2: 9/10, q1: 3/10, q2: 1/2, phi1: 2/5} |
| 45166 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ M_3q_1^2$ | 1.7363 | 1.8255 | 0.9511 | [X:[], M:[1.2, 1.2, 1.1729], q:[0.4135, 0.3865], qb:[], phi:[0.4]] | t^2.32 + t^3.52 + t^3.56 + 3*t^3.6 + t^3.64 + t^4.64 + t^4.72 + 2*t^4.8 + t^4.88 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.2/y - t^5.36/y - t^5.44/y - t^4.2*y - t^5.36*y - t^5.44*y | detail | |
| 45140 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ \phi_1^2q_1^2$ + $ q_2^2X_1$ | 1.554 | 1.6165 | 0.9613 | [X:[1.6], M:[1.2, 1.2], q:[0.6, 0.2], qb:[], phi:[0.4]] | t^3. + 5*t^3.6 + t^4.2 + 2*t^4.8 - t^4.2/y - t^4.8/y - t^6./y - t^4.2*y - t^4.8*y - t^6.*y | detail | {a: 777/500, c: 3233/2000, X1: 8/5, M1: 6/5, M2: 6/5, q1: 3/5, q2: 1/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44946 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ | 1.7685 | 1.881 | 0.9402 | [X:[], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 3*t^2.4 + 4*t^3.6 + 10*t^4.8 + 9*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 3537/2000, c: 1881/1000, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |