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 |
|---|---|---|---|---|---|---|---|---|---|
| 45933 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5768 | 0.6957 | 0.829 | [X:[], M:[1.0], q:[0.7872, 0.8322], qb:[0.3097, 0.5484], phi:[0.3806]] | [X:[], M:[[0]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.28 + t^2.57 + t^3. + t^3.29 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.43 + t^4.57 + 2*t^4.86 + t^5.15 + t^5.57 + t^5.87 + 2*t^6.29 + 2*t^6.58 + t^6.72 + t^6.85 + 2*t^7.01 + t^7.14 + t^7.3 + 2*t^7.43 + 2*t^7.72 + t^8.01 + 2*t^8.15 + 2*t^8.44 - t^8.57 - t^8.71 + 3*t^8.87 - t^4.14/y - t^6.43/y + (2*t^7.86)/y + t^8.28/y + (2*t^8.57)/y + t^8.87/y - t^4.14*y - t^6.43*y + 2*t^7.86*y + t^8.28*y + 2*t^8.57*y + t^8.87*y | t^2.28/g1^4 + g1^6*t^2.57 + t^3. + g1^10*t^3.29 + t^3.43/g1^6 + g1^4*t^3.72 + g1^14*t^4.01 + t^4.14/g1^2 + g1^8*t^4.43 + t^4.57/g1^8 + 2*g1^2*t^4.86 + g1^12*t^5.15 + g1^6*t^5.57 + g1^16*t^5.87 + 2*g1^10*t^6.29 + 2*g1^20*t^6.58 + g1^4*t^6.72 + t^6.85/g1^12 + 2*g1^14*t^7.01 + t^7.14/g1^2 + g1^24*t^7.3 + 2*g1^8*t^7.43 + 2*g1^18*t^7.72 + g1^28*t^8.01 + 2*g1^12*t^8.15 + 2*g1^22*t^8.44 - g1^6*t^8.57 - t^8.71/g1^10 + 3*g1^16*t^8.87 - t^4.14/(g1^2*y) - t^6.43/(g1^6*y) + (2*g1^2*t^7.86)/y + t^8.28/(g1^4*y) + (2*g1^6*t^8.57)/y + (g1^16*t^8.87)/y - (t^4.14*y)/g1^2 - (t^6.43*y)/g1^6 + 2*g1^2*t^7.86*y + (t^8.28*y)/g1^4 + 2*g1^6*t^8.57*y + g1^16*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 46042 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.588 | 0.713 | 0.8247 | [X:[], M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 - t^4.11/y - t^4.11*y | detail | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |
| 46024 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.3472 | 0.394 | 0.881 | [X:[1.5], M:[1.0], q:[1.375, 0.375], qb:[0.375, 0.875], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + t^4.5 + t^5.25 - t^3.75/y - t^3.75*y | detail | {a: 711/2048, c: 807/2048, X1: 3/2, M1: 1, q1: 11/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
| 45987 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.5762 | 0.6934 | 0.831 | [X:[], M:[1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + t^2.62 + t^3. + 2*t^3.38 + t^3.75 + 2*t^4.12 + 2*t^4.5 + 2*t^4.88 + t^5.25 + t^5.62 + t^6. - t^4.12/y - t^4.12*y | detail | {a: 9441/16384, c: 11361/16384, M1: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
| 46027 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ q_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4324 | 0.4949 | 0.8737 | [X:[1.4286], M:[1.0], q:[1.2143, 0.5], qb:[0.3571, 0.7857], phi:[0.2857]] | t^2.57 + t^3. + t^3.43 + t^3.86 + t^4.29 + t^5.14 - t^3.86/y - t^3.86*y | detail | {a: 339/784, c: 97/196, X1: 10/7, M1: 1, q1: 17/14, q2: 1/2, qb1: 5/14, qb2: 11/14, phi1: 2/7} |
| 46039 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.3333], M:[1.0], q:[1.0, 0.6667], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 4/3, M1: 1, q1: 1, q2: 2/3, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45856 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.5776 | 0.6992 | 0.8261 | [X:[], M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | t^2.33 + t^2.5 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^4.83 + t^5. + t^5.5 + 2*t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail |