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 |
|---|---|---|---|---|---|---|---|---|---|
| 1803 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 1.2291, 1.1563, 0.698, 0.8437], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | [X:[[0, 1]], M:[[0, -1], [0, 2], [0, -3], [0, -7], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.09 + t^2.53 + t^3.47 + 2*t^3.58 + 2*t^3.69 + 2*t^3.8 + t^4.19 + t^4.63 + t^4.84 + t^5.06 + t^5.56 + 2*t^5.67 + t^5.78 - 2*t^6. + t^6.22 + t^6.28 + 2*t^6.33 + t^6.72 + t^6.94 + 3*t^7.16 + 2*t^7.27 + 4*t^7.37 + 2*t^7.48 + 3*t^7.59 + t^7.66 + 2*t^7.77 + t^7.88 - 2*t^8.09 + t^8.31 + t^8.38 - 2*t^8.53 + t^8.81 + 2*t^8.86 - t^4.16/y - t^6.25/y + t^7.63/y + t^8.06/y - t^8.34/y + t^8.56/y + (2*t^8.67)/y + (2*t^8.78)/y + (2*t^8.89)/y - t^4.16*y - t^6.25*y + t^7.63*y + t^8.06*y - t^8.34*y + t^8.56*y + 2*t^8.67*y + 2*t^8.78*y + 2*t^8.89*y | t^2.09/g2^7 + g2^3*t^2.53 + t^3.47/g2^3 + t^3.58/g1^2 + (g1^2*t^3.58)/g2 + 2*g2^2*t^3.69 + g1^2*g2^4*t^3.8 + (g2^5*t^3.8)/g1^2 + t^4.19/g2^14 + t^4.63/g2^4 + g2*t^4.84 + g2^6*t^5.06 + t^5.56/g2^10 + (g1^2*t^5.67)/g2^8 + t^5.67/(g1^2*g2^7) + t^5.78/g2^5 - 2*t^6. + g2^5*t^6.22 + t^6.28/g2^21 + g1^2*g2^7*t^6.33 + (g2^8*t^6.33)/g1^2 + t^6.72/g2^11 + t^6.94/g2^6 + t^7.16/g1^4 + (g1^4*t^7.16)/g2^2 + t^7.16/g2 + g1^2*g2*t^7.27 + (g2^2*t^7.27)/g1^2 + g1^4*g2^3*t^7.37 + 2*g2^4*t^7.37 + (g2^5*t^7.37)/g1^4 + g1^2*g2^6*t^7.48 + (g2^7*t^7.48)/g1^2 + g1^4*g2^8*t^7.59 + g2^9*t^7.59 + (g2^10*t^7.59)/g1^4 + t^7.66/g2^17 + (g1^2*t^7.77)/g2^15 + t^7.77/(g1^2*g2^14) + t^7.88/g2^12 - (2*t^8.09)/g2^7 + t^8.31/g2^2 + t^8.38/g2^28 - 2*g2^3*t^8.53 + t^8.81/g2^18 + g1^2*g2^10*t^8.86 + (g2^11*t^8.86)/g1^2 - t^4.16/(g2*y) - t^6.25/(g2^8*y) + t^7.63/(g2^4*y) + (g2^6*t^8.06)/y - t^8.34/(g2^15*y) + t^8.56/(g2^10*y) + (g1^2*t^8.67)/(g2^8*y) + t^8.67/(g1^2*g2^7*y) + (2*t^8.78)/(g2^5*y) + (g1^2*t^8.89)/(g2^3*y) + t^8.89/(g1^2*g2^2*y) - (t^4.16*y)/g2 - (t^6.25*y)/g2^8 + (t^7.63*y)/g2^4 + g2^6*t^8.06*y - (t^8.34*y)/g2^15 + (t^8.56*y)/g2^10 + (g1^2*t^8.67*y)/g2^8 + (t^8.67*y)/(g1^2*g2^7) + (2*t^8.78*y)/g2^5 + (g1^2*t^8.89*y)/g2^3 + (t^8.89*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2817 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 1.2284, 1.1574, 0.7007, 0.8426, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + t^3.68 + 2*t^3.69 + t^3.9 + t^4.2 + t^4.41 + t^4.62 + t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + t^5.77 + t^5.78 + t^5.79 + 3*t^5.99 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 338 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[0.8179, 1.091, 1.0, 0.8179, 1.0], q:[0.6411, 0.541], qb:[0.541, 0.459], phi:[0.4545]] | 2*t^2.45 + 2*t^3. + t^3.25 + t^3.27 + t^3.3 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 5*t^4.91 + t^5.21 + 3*t^5.45 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |