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 |
|---|---|---|---|---|---|---|---|---|---|
| 8369 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1755 | 1.3079 | 0.8987 | [X:[1.633], M:[0.9175, 0.8989], q:[0.4588, 0.4402], qb:[], phi:[0.1835]] | [X:[[4]], M:[[-10], [12]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ q_1q_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ M_2\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1\phi_1^4$, $ M_2^2$, $ M_2q_1q_2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ M_1M_2$, $ M_1q_1q_2$, $ M_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1q_1q_2^3$ | $\phi_1^6q_1q_2$ | -1 | t^2.2 + 2*t^2.7 + t^2.75 + t^3.19 + t^3.8 + t^4.29 + t^4.35 + 2*t^4.4 + 3*t^4.9 + t^4.95 + 4*t^5.39 + 2*t^5.45 + t^5.51 + 2*t^5.89 - t^6. - t^6.06 + t^6.38 + 2*t^6.49 + t^6.55 + t^6.61 + 3*t^6.99 + 2*t^7.05 + 5*t^7.1 + t^7.16 + t^7.48 + t^7.54 + 6*t^7.6 + 2*t^7.65 + 7*t^8.09 + 3*t^8.15 + 2*t^8.2 + 5*t^8.59 + t^8.64 - t^8.7 - 3*t^8.75 + t^8.81 + t^8.2/y^2 - t^8.75/y^2 - t^3.55/y - t^4.65/y - t^5.75/y - (2*t^6.25)/y - t^6.3/y - t^6.74/y - t^6.85/y - (2*t^7.35)/y - t^7.4/y - t^7.84/y + (2*t^7.9)/y + (2*t^8.39)/y - t^8.51/y + (2*t^8.89)/y - (3*t^8.94)/y - t^3.55*y - t^4.65*y - t^5.75*y - 2*t^6.25*y - t^6.3*y - t^6.74*y - t^6.85*y - 2*t^7.35*y - t^7.4*y - t^7.84*y + 2*t^7.9*y + 2*t^8.39*y - t^8.51*y + 2*t^8.89*y - 3*t^8.94*y + t^8.2*y^2 - t^8.75*y^2 | t^2.2/g1^8 + 2*g1^12*t^2.7 + t^2.75/g1^10 + g1^32*t^3.19 + g1^8*t^3.8 + g1^28*t^4.29 + g1^6*t^4.35 + (2*t^4.4)/g1^16 + 3*g1^4*t^4.9 + t^4.95/g1^18 + 4*g1^24*t^5.39 + 2*g1^2*t^5.45 + t^5.51/g1^20 + 2*g1^44*t^5.89 - t^6. - t^6.06/g1^22 + g1^64*t^6.38 + 2*g1^20*t^6.49 + t^6.55/g1^2 + t^6.61/g1^24 + 3*g1^40*t^6.99 + 2*g1^18*t^7.05 + (5*t^7.1)/g1^4 + t^7.16/g1^26 + g1^60*t^7.48 + g1^38*t^7.54 + 6*g1^16*t^7.6 + (2*t^7.65)/g1^6 + 7*g1^36*t^8.09 + 3*g1^14*t^8.15 + (2*t^8.2)/g1^8 + 5*g1^56*t^8.59 + g1^34*t^8.64 - g1^12*t^8.7 - (3*t^8.75)/g1^10 + t^8.81/g1^32 + t^8.2/(g1^8*y^2) - t^8.75/(g1^10*y^2) - t^3.55/(g1^2*y) - t^4.65/(g1^6*y) - t^5.75/(g1^10*y) - (2*g1^10*t^6.25)/y - t^6.3/(g1^12*y) - (g1^30*t^6.74)/y - t^6.85/(g1^14*y) - (2*g1^6*t^7.35)/y - t^7.4/(g1^16*y) - (g1^26*t^7.84)/y + (2*g1^4*t^7.9)/y + (2*g1^24*t^8.39)/y - t^8.51/(g1^20*y) + (2*g1^44*t^8.89)/y - (3*g1^22*t^8.94)/y - (t^3.55*y)/g1^2 - (t^4.65*y)/g1^6 - (t^5.75*y)/g1^10 - 2*g1^10*t^6.25*y - (t^6.3*y)/g1^12 - g1^30*t^6.74*y - (t^6.85*y)/g1^14 - 2*g1^6*t^7.35*y - (t^7.4*y)/g1^16 - g1^26*t^7.84*y + 2*g1^4*t^7.9*y + 2*g1^24*t^8.39*y - (t^8.51*y)/g1^20 + 2*g1^44*t^8.89*y - 3*g1^22*t^8.94*y + (t^8.2*y^2)/g1^8 - (t^8.75*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 8506 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1951 | 1.3439 | 0.8893 | [X:[1.6338], M:[0.9154, 0.9015, 0.7323], q:[0.4577, 0.4438], qb:[], phi:[0.1831]] | 2*t^2.2 + 2*t^2.7 + t^2.75 + t^3.21 + t^4.31 + t^4.35 + 4*t^4.39 + 5*t^4.9 + 2*t^4.94 + 5*t^5.41 + 2*t^5.45 + t^5.49 + 2*t^5.92 - 2*t^6. - t^3.55/y - t^4.65/y - (2*t^5.75)/y - t^3.55*y - t^4.65*y - 2*t^5.75*y | detail | |
| 8501 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^4$ | 1.1558 | 1.2723 | 0.9085 | [X:[1.6321], M:[0.9198, 0.8963, 1.2642], q:[0.4599, 0.4364], qb:[], phi:[0.184]] | 2*t^2.69 + t^2.76 + t^3.17 + 2*t^3.79 + t^4.27 + t^4.34 + t^4.41 + t^4.9 + 3*t^5.38 + 2*t^5.45 + t^5.52 + 2*t^5.86 - 2*t^6. - t^3.55/y - t^4.66/y - t^3.55*y - t^4.66*y | detail | |
| 8523 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9441 | 1.0066 | 0.9379 | [X:[1.7143, 1.4286], M:[0.7143, 1.1429], q:[0.3571, 0.7857], qb:[], phi:[0.1429]] | t^2.14 + 3*t^3.43 + 3*t^4.29 + t^5.14 + 2*t^5.57 - 2*t^6. - t^3.43/y - t^4.29/y - t^5.57/y - t^3.43*y - t^4.29*y - t^5.57*y | detail | {a: 5181/5488, c: 1381/1372, X1: 12/7, X2: 10/7, M1: 5/7, M2: 8/7, q1: 5/14, q2: 11/14, phi1: 1/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8197 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |