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 |
|---|---|---|---|---|---|---|---|---|---|
| 1164 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ | 0.6523 | 0.8085 | 0.8069 | [X:[], M:[1.1652, 1.0841, 0.9565, 0.8348, 0.7073, 1.0435], q:[0.771, 0.3536], qb:[0.4811, 0.5623], phi:[0.458]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_5M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1\tilde{q}_1$ | . | -1 | t^2.12 + t^2.5 + t^2.75 + t^3.13 + t^3.25 + t^3.37 + t^3.5 + t^3.76 + t^4. + t^4.12 + t^4.24 + t^4.26 + t^4.5 + t^4.63 + t^4.75 + t^4.87 + t^5.01 + 2*t^5.25 + 2*t^5.5 + t^5.63 + 3*t^5.88 - t^6. + t^6.12 + t^6.24 + 2*t^6.26 + t^6.37 + t^6.38 + 2*t^6.5 + t^6.63 + t^6.75 + t^6.77 + 2*t^6.87 + t^6.89 + t^6.99 + 2*t^7.01 + t^7.13 + 2*t^7.25 + t^7.37 + t^7.39 + 2*t^7.5 + 2*t^7.51 + 2*t^7.62 + t^7.63 + 2*t^7.76 + 3*t^8. + t^8.02 - 2*t^8.12 + t^8.14 + 3*t^8.24 + t^8.26 + 3*t^8.38 + t^8.49 - t^8.5 + t^8.52 + 2*t^8.63 - 2*t^8.75 + 3*t^8.77 + t^8.87 + t^8.99 - t^4.37/y - t^6.5/y + t^7.63/y + t^7.87/y + (3*t^8.25)/y + t^8.37/y + t^8.5/y + t^8.63/y + t^8.76/y + (3*t^8.88)/y - t^4.37*y - t^6.5*y + t^7.63*y + t^7.87*y + 3*t^8.25*y + t^8.37*y + t^8.5*y + t^8.63*y + t^8.76*y + 3*t^8.88*y | g1^6*t^2.12 + t^2.5/g1^8 + g1^4*t^2.75 + t^3.13/g1^10 + t^3.25/g1^4 + g1^2*t^3.37 + g1^8*t^3.5 + t^3.76/g1^12 + t^4. + g1^6*t^4.12 + g1^12*t^4.24 + t^4.26/g1^20 + t^4.5/g1^8 + t^4.63/g1^2 + g1^4*t^4.75 + g1^10*t^4.87 + t^5.01/g1^16 + (2*t^5.25)/g1^4 + 2*g1^8*t^5.5 + t^5.63/g1^18 + (3*t^5.88)/g1^6 - t^6. + g1^6*t^6.12 + g1^12*t^6.24 + (2*t^6.26)/g1^20 + g1^18*t^6.37 + t^6.38/g1^14 + (2*t^6.5)/g1^8 + t^6.63/g1^2 + g1^4*t^6.75 + t^6.77/g1^28 + 2*g1^10*t^6.87 + t^6.89/g1^22 + g1^16*t^6.99 + (2*t^7.01)/g1^16 + t^7.13/g1^10 + (2*t^7.25)/g1^4 + g1^2*t^7.37 + t^7.39/g1^30 + 2*g1^8*t^7.5 + (2*t^7.51)/g1^24 + 2*g1^14*t^7.62 + t^7.63/g1^18 + (2*t^7.76)/g1^12 + 3*t^8. + t^8.02/g1^32 - 2*g1^6*t^8.12 + t^8.14/g1^26 + 3*g1^12*t^8.24 + t^8.26/g1^20 + (3*t^8.38)/g1^14 + g1^24*t^8.49 - t^8.5/g1^8 + t^8.52/g1^40 + (2*t^8.63)/g1^2 - 2*g1^4*t^8.75 + (3*t^8.77)/g1^28 + g1^10*t^8.87 + g1^16*t^8.99 - (g1^2*t^4.37)/y - (g1^8*t^6.5)/y + t^7.63/(g1^2*y) + (g1^10*t^7.87)/y + (3*t^8.25)/(g1^4*y) + (g1^2*t^8.37)/y + (g1^8*t^8.5)/y + t^8.63/(g1^18*y) + t^8.76/(g1^12*y) + (3*t^8.88)/(g1^6*y) - g1^2*t^4.37*y - g1^8*t^6.5*y + (t^7.63*y)/g1^2 + g1^10*t^7.87*y + (3*t^8.25*y)/g1^4 + g1^2*t^8.37*y + g1^8*t^8.5*y + (t^8.63*y)/g1^18 + (t^8.76*y)/g1^12 + (3*t^8.88*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2206 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6718 | 0.8441 | 0.7959 | [X:[], M:[1.1532, 1.0901, 0.9415, 0.8468, 0.6982, 1.0585, 0.7298], q:[0.7725, 0.3491], qb:[0.4977, 0.5608], phi:[0.455]] | t^2.09 + t^2.19 + t^2.54 + t^2.73 + t^3.18 + t^3.27 + t^3.36 + t^3.46 + t^4. + t^4.09 + t^4.19 + t^4.28 + t^4.35 + t^4.38 + t^4.54 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.08 + 2*t^5.27 + t^5.36 + 3*t^5.46 + t^5.55 + t^5.65 + t^5.72 + 2*t^5.91 - t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.06 + t^2.59 + t^2.71 + t^2.76 + t^3.29 + t^3.35 + t^3.41 + t^3.88 + t^4. + t^4.06 + t^4.12 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.76 + t^4.82 + t^5.18 + t^5.29 + t^5.35 + 2*t^5.41 + t^5.47 + t^5.53 + 2*t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |