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 |
|---|---|---|---|---|---|---|---|---|---|
| 46559 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ \phi_1q_2^2$ | 0.7281 | 0.9047 | 0.8047 | [X:[], M:[0.6956, 0.869, 0.869, 0.6956, 1.0], q:[0.5, 0.8044], qb:[0.631, 0.5], phi:[0.3912]] | [X:[], M:[[-1, 1], [-7, 1], [-7, -1], [-1, -1], [0, 0]], q:[[0, -1], [1, 0]], qb:[[7, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_5$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_1M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_3^2$, $ M_2^2$, $ M_5\phi_1^2$ | . | -4 | 2*t^2.09 + t^2.35 + 2*t^2.61 + t^3. + 6*t^4.17 + t^4.31 + 2*t^4.43 + 2*t^4.57 + 5*t^4.69 + 2*t^4.95 + t^4.96 + 2*t^5.09 + 3*t^5.21 + t^5.35 - 4*t^6. + 8*t^6.26 + 5*t^6.52 + 4*t^6.65 + 12*t^6.78 + 2*t^6.91 + 5*t^7.04 + 2*t^7.05 + 6*t^7.17 + 8*t^7.3 + t^7.31 + 2*t^7.43 + 3*t^7.56 + t^7.69 + 4*t^7.82 - 3*t^7.83 - 10*t^8.09 - 2*t^8.22 + 11*t^8.35 - 2*t^8.48 - 2*t^8.61 + 6*t^8.74 + 18*t^8.87 - t^4.17/y - (2*t^6.26)/y - t^6.52/y - (2*t^6.78)/y + t^7.17/y + (2*t^7.43)/y + (2*t^7.57)/y + (4*t^7.69)/y + t^7.83/y + (2*t^7.95)/y + (4*t^8.09)/y + t^8.21/y - (2*t^8.35)/y - (5*t^8.87)/y - t^4.17*y - 2*t^6.26*y - t^6.52*y - 2*t^6.78*y + t^7.17*y + 2*t^7.43*y + 2*t^7.57*y + 4*t^7.69*y + t^7.83*y + 2*t^7.95*y + 4*t^8.09*y + t^8.21*y - 2*t^8.35*y - 5*t^8.87*y | t^2.09/(g1*g2) + (g2*t^2.09)/g1 + t^2.35/g1^4 + t^2.61/(g1^7*g2) + (g2*t^2.61)/g1^7 + t^3. + (2*t^4.17)/g1^2 + (2*t^4.17)/(g1^2*g2^2) + (2*g2^2*t^4.17)/g1^2 + g1^8*t^4.31 + t^4.43/(g1^5*g2) + (g2*t^4.43)/g1^5 + (g1^5*t^4.57)/g2 + g1^5*g2*t^4.57 + (3*t^4.69)/g1^8 + t^4.69/(g1^8*g2^2) + (g2^2*t^4.69)/g1^8 + t^4.95/(g1^11*g2) + (g2*t^4.95)/g1^11 + g1^12*t^4.96 + t^5.09/(g1*g2) + (g2*t^5.09)/g1 + t^5.21/g1^14 + t^5.21/(g1^14*g2^2) + (g2^2*t^5.21)/g1^14 + t^5.35/g1^4 - 2*t^6. - t^6./g2^2 - g2^2*t^6. + (2*t^6.26)/(g1^3*g2^3) + (2*t^6.26)/(g1^3*g2) + (2*g2*t^6.26)/g1^3 + (2*g2^3*t^6.26)/g1^3 + t^6.52/g1^6 + (2*t^6.52)/(g1^6*g2^2) + (2*g2^2*t^6.52)/g1^6 + 2*g1^4*t^6.65 + (g1^4*t^6.65)/g2^2 + g1^4*g2^2*t^6.65 + (2*t^6.78)/(g1^9*g2^3) + (4*t^6.78)/(g1^9*g2) + (4*g2*t^6.78)/g1^9 + (2*g2^3*t^6.78)/g1^9 + (g1*t^6.91)/g2 + g1*g2*t^6.91 + (3*t^7.04)/g1^12 + t^7.04/(g1^12*g2^2) + (g2^2*t^7.04)/g1^12 + (g1^11*t^7.05)/g2 + g1^11*g2*t^7.05 + (2*t^7.17)/g1^2 + (2*t^7.17)/(g1^2*g2^2) + (2*g2^2*t^7.17)/g1^2 + t^7.3/(g1^15*g2^3) + (3*t^7.3)/(g1^15*g2) + (3*g2*t^7.3)/g1^15 + (g2^3*t^7.3)/g1^15 + g1^8*t^7.31 + t^7.43/(g1^5*g2) + (g2*t^7.43)/g1^5 + t^7.56/g1^18 + t^7.56/(g1^18*g2^2) + (g2^2*t^7.56)/g1^18 + t^7.69/g1^8 + t^7.82/(g1^21*g2^3) + t^7.82/(g1^21*g2) + (g2*t^7.82)/g1^21 + (g2^3*t^7.82)/g1^21 - g1^2*t^7.83 - (g1^2*t^7.83)/g2^2 - g1^2*g2^2*t^7.83 - t^8.09/(g1*g2^3) - (4*t^8.09)/(g1*g2) - (4*g2*t^8.09)/g1 - (g2^3*t^8.09)/g1 - (g1^9*t^8.22)/g2 - g1^9*g2*t^8.22 + t^8.35/g1^4 + (3*t^8.35)/(g1^4*g2^4) + (2*t^8.35)/(g1^4*g2^2) + (2*g2^2*t^8.35)/g1^4 + (3*g2^4*t^8.35)/g1^4 - 2*g1^6*t^8.48 + t^8.61/(g1^7*g2^3) - (2*t^8.61)/(g1^7*g2) - (2*g2*t^8.61)/g1^7 + (g2^3*t^8.61)/g1^7 + (2*g1^3*t^8.74)/g2^3 + (g1^3*t^8.74)/g2 + g1^3*g2*t^8.74 + 2*g1^3*g2^3*t^8.74 + (4*t^8.87)/g1^10 + (2*t^8.87)/(g1^10*g2^4) + (5*t^8.87)/(g1^10*g2^2) + (5*g2^2*t^8.87)/g1^10 + (2*g2^4*t^8.87)/g1^10 - t^4.17/(g1^2*y) - t^6.26/(g1^3*g2*y) - (g2*t^6.26)/(g1^3*y) - t^6.52/(g1^6*y) - t^6.78/(g1^9*g2*y) - (g2*t^6.78)/(g1^9*y) + t^7.17/(g1^2*y) + t^7.43/(g1^5*g2*y) + (g2*t^7.43)/(g1^5*y) + (g1^5*t^7.57)/(g2*y) + (g1^5*g2*t^7.57)/y + (2*t^7.69)/(g1^8*y) + t^7.69/(g1^8*g2^2*y) + (g2^2*t^7.69)/(g1^8*y) + (g1^2*t^7.83)/y + t^7.95/(g1^11*g2*y) + (g2*t^7.95)/(g1^11*y) + (2*t^8.09)/(g1*g2*y) + (2*g2*t^8.09)/(g1*y) + t^8.21/(g1^14*y) - t^8.35/(g1^4*g2^2*y) - (g2^2*t^8.35)/(g1^4*y) - (3*t^8.87)/(g1^10*y) - t^8.87/(g1^10*g2^2*y) - (g2^2*t^8.87)/(g1^10*y) - (t^4.17*y)/g1^2 - (t^6.26*y)/(g1^3*g2) - (g2*t^6.26*y)/g1^3 - (t^6.52*y)/g1^6 - (t^6.78*y)/(g1^9*g2) - (g2*t^6.78*y)/g1^9 + (t^7.17*y)/g1^2 + (t^7.43*y)/(g1^5*g2) + (g2*t^7.43*y)/g1^5 + (g1^5*t^7.57*y)/g2 + g1^5*g2*t^7.57*y + (2*t^7.69*y)/g1^8 + (t^7.69*y)/(g1^8*g2^2) + (g2^2*t^7.69*y)/g1^8 + g1^2*t^7.83*y + (t^7.95*y)/(g1^11*g2) + (g2*t^7.95*y)/g1^11 + (2*t^8.09*y)/(g1*g2) + (2*g2*t^8.09*y)/g1 + (t^8.21*y)/g1^14 - (t^8.35*y)/(g1^4*g2^2) - (g2^2*t^8.35*y)/g1^4 - (3*t^8.87*y)/g1^10 - (t^8.87*y)/(g1^10*g2^2) - (g2^2*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46856 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ \phi_1q_2^2$ + $ M_2M_3$ | 0.7112 | 0.8808 | 0.8074 | [X:[], M:[0.7143, 1.0, 1.0, 0.7143, 1.0], q:[0.5, 0.7857], qb:[0.5, 0.5], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 3*t^3. + t^3.86 + 9*t^4.29 + 2*t^4.71 + 7*t^5.14 + 3*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3903/5488, c: 2417/2744, M1: 5/7, M2: 1, M3: 1, M4: 5/7, M5: 1, q1: 1/2, q2: 11/14, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 46932 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ \phi_1q_2^2$ + $ M_2^2$ | 0.7163 | 0.8881 | 0.8066 | [X:[], M:[0.7481, 1.0, 0.9211, 0.6692, 1.0], q:[0.4606, 0.7913], qb:[0.5394, 0.5394], phi:[0.4173]] | t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + t^3.99 + 2*t^4.02 + 3*t^4.25 + 4*t^4.49 + t^4.51 + t^4.75 + t^4.77 + 4*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - t^6. - t^4.25/y - t^4.25*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46324 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |