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 |
|---|---|---|---|---|---|---|---|---|---|
| 8196 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | [X:[[4]], M:[[-32]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^5q_1^2$, $ M_1q_1q_2$, $ \phi_1^5q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_1^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.15+t^2.59+t^2.78+t^3.22+t^3.31+t^3.85+2*t^4.3+t^4.39+t^4.48+t^4.74+2*t^4.93+t^5.19+2*t^5.37+t^5.46+t^5.55+t^5.82+3*t^6.45+t^6.54+2*t^6.63+2*t^6.89+4*t^7.07+t^7.17+t^7.26+t^7.34+3*t^7.52+2*t^7.61+3*t^7.7+t^7.78+t^7.79+2*t^7.97+3*t^8.15+t^8.24+t^8.33+t^8.41+3*t^8.59+2*t^8.78+t^8.87+t^8.96+t^8.15/y^2-t^8.69/y^2-t^3.54/y-t^4.61/y-t^5.69/y-t^6.13/y-t^6.31/y-(2*t^6.76)/y-t^6.85/y-t^7.21/y-t^7.39/y+t^7.74/y-(2*t^7.83)/y-t^8.28/y+(2*t^8.37)/y-t^8.73/y+t^8.82/y-(2*t^8.91)/y-t^3.54*y-t^4.61*y-t^5.69*y-t^6.13*y-t^6.31*y-2*t^6.76*y-t^6.85*y-t^7.21*y-t^7.39*y+t^7.74*y-2*t^7.83*y-t^8.28*y+2*t^8.37*y-t^8.73*y+t^8.82*y-2*t^8.91*y+t^8.15*y^2-t^8.69*y^2 | t^2.15/g1^8+t^2.59/g1^32+g1^12*t^2.78+t^3.22/g1^12+g1^10*t^3.31+g1^8*t^3.85+(2*t^4.3)/g1^16+g1^6*t^4.39+g1^28*t^4.48+t^4.74/g1^40+2*g1^4*t^4.93+t^5.19/g1^64+(2*t^5.37)/g1^20+g1^2*t^5.46+g1^24*t^5.55+t^5.82/g1^44+(3*t^6.45)/g1^24+t^6.54/g1^2+2*g1^20*t^6.63+(2*t^6.89)/g1^48+(4*t^7.07)/g1^4+g1^18*t^7.17+g1^40*t^7.26+t^7.34/g1^72+(3*t^7.52)/g1^28+(2*t^7.61)/g1^6+3*g1^16*t^7.7+t^7.78/g1^96+g1^38*t^7.79+(2*t^7.97)/g1^52+(3*t^8.15)/g1^8+g1^14*t^8.24+g1^36*t^8.33+t^8.41/g1^76+(3*t^8.59)/g1^32+2*g1^12*t^8.78+g1^34*t^8.87+g1^56*t^8.96+t^8.15/(g1^8*y^2)-t^8.69/(g1^10*y^2)-t^3.54/(g1^2*y)-t^4.61/(g1^6*y)-t^5.69/(g1^10*y)-t^6.13/(g1^34*y)-(g1^10*t^6.31)/y-(2*t^6.76)/(g1^14*y)-(g1^8*t^6.85)/y-t^7.21/(g1^38*y)-(g1^6*t^7.39)/y+t^7.74/(g1^40*y)-(2*t^7.83)/(g1^18*y)-t^8.28/(g1^42*y)+(2*t^8.37)/(g1^20*y)-t^8.73/(g1^66*y)+t^8.82/(g1^44*y)-(2*t^8.91)/(g1^22*y)-(t^3.54*y)/g1^2-(t^4.61*y)/g1^6-(t^5.69*y)/g1^10-(t^6.13*y)/g1^34-g1^10*t^6.31*y-(2*t^6.76*y)/g1^14-g1^8*t^6.85*y-(t^7.21*y)/g1^38-g1^6*t^7.39*y+(t^7.74*y)/g1^40-(2*t^7.83*y)/g1^18-(t^8.28*y)/g1^42+(2*t^8.37*y)/g1^20-(t^8.73*y)/g1^66+(t^8.82*y)/g1^44-(2*t^8.91*y)/g1^22+(t^8.15*y^2)/g1^8-(t^8.69*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 |
|---|---|---|---|---|---|---|---|---|
| 8363 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1\phi_1^4$ | 1.0965 | 1.2215 | 0.8977 | [X:[1.6], M:[1.2], q:[0.5, 0.3], qb:[], phi:[0.2]] | 2*t^2.4+t^3.+4*t^3.6+t^4.2+5*t^4.8+t^5.4+6*t^6.-t^3.6/y-t^4.8/y-(2*t^6.)/y-t^3.6*y-t^4.8*y-2*t^6.*y | detail | {a: 2193/2000, c: 2443/2000, X1: 8/5, M1: 6/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
| 8364 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1^2$ | 1.1559 | 1.2809 | 0.9024 | [X:[1.625], M:[1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.25+t^2.62+t^3.+t^3.19+t^3.38+t^3.75+t^4.12+t^4.31+2*t^4.5+2*t^4.88+2*t^5.25+t^5.44+2*t^5.62+t^6.-t^3.56/y-t^4.69/y-t^5.81/y-t^3.56*y-t^4.69*y-t^5.81*y | detail | {a: 18939/16384, c: 20987/16384, X1: 13/8, M1: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8374 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1479 | 1.2552 | 0.9145 | [X:[1.6413], M:[0.8696, 1.2826], q:[0.4484, 0.4755], qb:[], phi:[0.1793]] | t^2.61+t^2.77+t^3.23+t^3.31+2*t^3.85+t^4.3+t^4.39+t^4.47+t^4.92+t^5.22+t^5.38+t^5.54+t^5.84-t^6.-t^3.54/y-t^4.61/y-t^3.54*y-t^4.61*y | detail | |
| 8379 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ | 1.1616 | 1.2825 | 0.9057 | [X:[1.645], M:[0.8398, 1.0649], q:[0.4437, 0.4913], qb:[], phi:[0.1775]] | t^2.13+t^2.52+2*t^3.19+t^3.34+t^3.87+2*t^4.26+t^4.4+t^4.55+t^4.65+t^4.94+t^5.04+2*t^5.32+t^5.47+2*t^5.71-t^6.-t^3.53/y-t^4.6/y-t^5.66/y-t^3.53*y-t^4.6*y-t^5.66*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2+t^2.7+t^3.2+t^3.25+t^3.3+t^3.8+t^4.3+t^4.35+2*t^4.4+2*t^4.9+2*t^5.4+t^5.45+t^5.5+t^5.9-t^3.55/y-t^4.65/y-t^5.75/y-t^3.55*y-t^4.65*y-t^5.75*y | detail |