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 |
|---|---|---|---|---|---|---|---|---|---|
| 40 | SU2adj1nf2 | $M_1q_1q_2$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] | [X:[], M:[[-4, -4, 0, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | -4 | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - 4*t^6.13 + t^6.7 + 4*t^6.82 + 9*t^6.95 + 3*t^7.01 + 3*t^7.14 + t^7.2 + t^7.32 - t^7.39 + t^7.45 + t^7.57 + 3*t^7.96 + 9*t^8.09 + t^8.15 + 8*t^8.21 + t^8.27 + 5*t^8.34 - 4*t^8.4 - 4*t^8.52 - t^8.65 - t^4.26/y - t^6.66/y - t^6.79/y + t^7.74/y + t^7.86/y + t^7.92/y + t^8.75/y + (5*t^8.87)/y - t^4.26*y - t^6.66*y - t^6.79*y + t^7.74*y + t^7.86*y + t^7.92*y + t^8.75*y + 5*t^8.87*y | t^2.4/(g1^4*g2^4) + t^2.52/(g1^2*g2^2*g3^2*g4^2) + g3^4*g4^4*t^3.35 + g1^4*g3^4*t^3.48 + g2^4*g3^4*t^3.48 + g1^4*g4^4*t^3.48 + g2^4*g4^4*t^3.48 + (g3^7*t^4.61)/(g1*g2*g4) + (g3^3*g4^3*t^4.61)/(g1*g2) + (g4^7*t^4.61)/(g1*g2*g3) + (g1^3*g3^3*t^4.74)/(g2*g4) + (g2^3*g3^3*t^4.74)/(g1*g4) + (g1^3*g4^3*t^4.74)/(g2*g3) + (g2^3*g4^3*t^4.74)/(g1*g3) + t^4.8/(g1^8*g2^8) + (g1^7*t^4.86)/(g2*g3*g4) + (g1^3*g2^3*t^4.86)/(g3*g4) + (g2^7*t^4.86)/(g1*g3*g4) + t^4.92/(g1^6*g2^6*g3^2*g4^2) + t^5.05/(g1^4*g2^4*g3^4*g4^4) + (g3^4*g4^4*t^5.75)/(g1^4*g2^4) + (g3^2*g4^2*t^5.87)/(g1^2*g2^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g3^4*t^6.)/g4^4 + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) - (g4^4*t^6.)/g3^4 - (g1^4*t^6.13)/g3^4 - (g2^4*t^6.13)/g3^4 - (g1^4*t^6.13)/g4^4 - (g2^4*t^6.13)/g4^4 + g3^8*g4^8*t^6.7 + g1^4*g3^8*g4^4*t^6.82 + g2^4*g3^8*g4^4*t^6.82 + g1^4*g3^4*g4^8*t^6.82 + g2^4*g3^4*g4^8*t^6.82 + g1^8*g3^8*t^6.95 + g1^4*g2^4*g3^8*t^6.95 + g2^8*g3^8*t^6.95 + g1^8*g3^4*g4^4*t^6.95 + g1^4*g2^4*g3^4*g4^4*t^6.95 + g2^8*g3^4*g4^4*t^6.95 + g1^8*g4^8*t^6.95 + g1^4*g2^4*g4^8*t^6.95 + g2^8*g4^8*t^6.95 + (g3^7*t^7.01)/(g1^5*g2^5*g4) + (g3^3*g4^3*t^7.01)/(g1^5*g2^5) + (g4^7*t^7.01)/(g1^5*g2^5*g3) + (g3^5*t^7.14)/(g1^3*g2^3*g4^3) + (g3*g4*t^7.14)/(g1^3*g2^3) + (g4^5*t^7.14)/(g1^3*g2^3*g3^3) + t^7.2/(g1^12*g2^12) - (g3^3*t^7.26)/(g1*g2*g4^5) + (g1*g3*t^7.26)/(g2^3*g4^3) + (g2*g3*t^7.26)/(g1^3*g4^3) - (2*t^7.26)/(g1*g2*g3*g4) + (g1*g4*t^7.26)/(g2^3*g3^3) + (g2*g4*t^7.26)/(g1^3*g3^3) - (g4^3*t^7.26)/(g1*g2*g3^5) + t^7.32/(g1^10*g2^10*g3^2*g4^2) - (g1^3*t^7.39)/(g2*g3*g4^5) - (g2^3*t^7.39)/(g1*g3*g4^5) + (g1^5*t^7.39)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.39)/(g3^3*g4^3) + (g2^5*t^7.39)/(g1^3*g3^3*g4^3) - (g1^3*t^7.39)/(g2*g3^5*g4) - (g2^3*t^7.39)/(g1*g3^5*g4) + t^7.45/(g1^8*g2^8*g3^4*g4^4) + t^7.57/(g1^6*g2^6*g3^6*g4^6) + (g3^11*g4^3*t^7.96)/(g1*g2) + (g3^7*g4^7*t^7.96)/(g1*g2) + (g3^3*g4^11*t^7.96)/(g1*g2) + (g1^3*g3^11*t^8.09)/(g2*g4) + (g2^3*g3^11*t^8.09)/(g1*g4) - g1*g2*g3^9*g4*t^8.09 + (2*g1^3*g3^7*g4^3*t^8.09)/g2 + (2*g2^3*g3^7*g4^3*t^8.09)/g1 - g1*g2*g3^5*g4^5*t^8.09 + (2*g1^3*g3^3*g4^7*t^8.09)/g2 + (2*g2^3*g3^3*g4^7*t^8.09)/g1 - g1*g2*g3*g4^9*t^8.09 + (g1^3*g4^11*t^8.09)/(g2*g3) + (g2^3*g4^11*t^8.09)/(g1*g3) + (g3^4*g4^4*t^8.15)/(g1^8*g2^8) + (g1^7*g3^7*t^8.21)/(g2*g4) + (g1^3*g2^3*g3^7*t^8.21)/g4 + (g2^7*g3^7*t^8.21)/(g1*g4) - g1^5*g2*g3^5*g4*t^8.21 - g1*g2^5*g3^5*g4*t^8.21 + (2*g1^7*g3^3*g4^3*t^8.21)/g2 + 2*g1^3*g2^3*g3^3*g4^3*t^8.21 + (2*g2^7*g3^3*g4^3*t^8.21)/g1 - g1^5*g2*g3*g4^5*t^8.21 - g1*g2^5*g3*g4^5*t^8.21 + (g1^7*g4^7*t^8.21)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.21)/g3 + (g2^7*g4^7*t^8.21)/(g1*g3) + (g3^2*g4^2*t^8.27)/(g1^6*g2^6) + (g1^11*g3^3*t^8.34)/(g2*g4) + (g1^7*g2^3*g3^3*t^8.34)/g4 + (g1^3*g2^7*g3^3*t^8.34)/g4 + (g2^11*g3^3*t^8.34)/(g1*g4) - g1^9*g2*g3*g4*t^8.34 - g1^5*g2^5*g3*g4*t^8.34 - g1*g2^9*g3*g4*t^8.34 + (g1^11*g4^3*t^8.34)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.34)/g3 + (g1^3*g2^7*g4^3*t^8.34)/g3 + (g2^11*g4^3*t^8.34)/(g1*g3) - (2*t^8.4)/(g1^4*g2^4) - (g3^4*t^8.4)/(g1^4*g2^4*g4^4) - (g4^4*t^8.4)/(g1^4*g2^4*g3^4) + t^8.52/(g1^4*g3^4) + t^8.52/(g2^4*g3^4) - (g3^2*t^8.52)/(g1^2*g2^2*g4^6) + t^8.52/(g1^4*g4^4) + t^8.52/(g2^4*g4^4) - (g1^2*t^8.52)/(g2^6*g3^2*g4^2) - (4*t^8.52)/(g1^2*g2^2*g3^2*g4^2) - (g2^2*t^8.52)/(g1^6*g3^2*g4^2) - (g4^2*t^8.52)/(g1^2*g2^2*g3^6) + t^8.65/g3^8 + t^8.65/g4^8 - (g1^2*t^8.65)/(g2^2*g3^2*g4^6) - (g2^2*t^8.65)/(g1^2*g3^2*g4^6) + t^8.65/(g3^4*g4^4) - (g1^2*t^8.65)/(g2^2*g3^6*g4^2) - (g2^2*t^8.65)/(g1^2*g3^6*g4^2) - t^4.26/(g1*g2*g3*g4*y) - t^6.66/(g1^5*g2^5*g3*g4*y) - t^6.79/(g1^3*g2^3*g3^3*g4^3*y) + (g1*g2*g3*g4*t^7.74)/y + (g1^3*g2^3*t^7.86)/(g3*g4*y) + t^7.92/(g1^6*g2^6*g3^2*g4^2*y) + (g3^4*g4^4*t^8.75)/(g1^4*g2^4*y) + (g3^4*t^8.87)/(g1^4*y) + (g3^4*t^8.87)/(g2^4*y) + (g3^2*g4^2*t^8.87)/(g1^2*g2^2*y) + (g4^4*t^8.87)/(g1^4*y) + (g4^4*t^8.87)/(g2^4*y) - (t^4.26*y)/(g1*g2*g3*g4) - (t^6.66*y)/(g1^5*g2^5*g3*g4) - (t^6.79*y)/(g1^3*g2^3*g3^3*g4^3) + g1*g2*g3*g4*t^7.74*y + (g1^3*g2^3*t^7.86*y)/(g3*g4) + (t^7.92*y)/(g1^6*g2^6*g3^2*g4^2) + (g3^4*g4^4*t^8.75*y)/(g1^4*g2^4) + (g3^4*t^8.87*y)/g1^4 + (g3^4*t^8.87*y)/g2^4 + (g3^2*g4^2*t^8.87*y)/(g1^2*g2^2) + (g4^4*t^8.87*y)/g1^4 + (g4^4*t^8.87*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 53 | $M_1q_1q_2$ + $ M_2\phi_1^2$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[0.8278, 1.1256], q:[0.5861, 0.5861], qb:[0.5395, 0.5395], phi:[0.4372]] | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*y | detail | |
| 45838 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ | 0.7406 | 0.8961 | 0.8265 | [X:[], M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y | detail | |
| 55 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail | |
| 45825 | $M_1q_1q_2$ + $ \phi_1q_1^2$ | 0.694 | 0.8411 | 0.8251 | [X:[], M:[0.6741], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]] | t^2.02 + t^2.43 + 3*t^3.16 + 2*t^3.97 + t^4.04 + 3*t^4.37 + 2*t^4.38 + t^4.39 + t^4.46 + t^4.87 + t^5.18 + 2*t^5.19 + t^5.59 + 2*t^5.6 - 5*t^6. - t^4.22/y - t^4.22*y | detail | |
| 54 | $M_1q_1q_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.5, 0.5], qb:[0.8333, 0.8333], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 1/2, q2: 1/2, qb1: 5/6, qb2: 5/6, phi1: 1/3} |
| 52 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55671 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.7995], q:[0.5581, 1.0211, 0.9789], qb:[0.6003, 0.6003, 0.5581], phi:[0.4208]] | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 36 | SU2adj1nf2 | . | 0.7103 | 0.8462 | 0.8394 | [X:[], M:[], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. - t^4.3/y - t^4.3*y | detail |