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 |
|---|---|---|---|---|---|---|---|---|---|
| 8367 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ | 1.1882 | 1.331 | 0.8927 | [X:[1.6425], M:[0.715, 0.86], q:[0.4469, 0.4806], qb:[], phi:[0.1788]] | [X:[[4]], M:[[-8], [-32]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ M_2$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1M_2$, $ M_2\phi_1^4$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2^2$, $ M_1\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ M_2q_1q_2$, $ M_1\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ q_1^2q_2^2$, $ M_2\phi_1q_1^2$ | . | -1 | 2*t^2.15+t^2.58+t^2.78+t^3.22+t^3.32+4*t^4.29+t^4.39+t^4.49+2*t^4.73+3*t^4.93+t^5.16+3*t^5.36+2*t^5.46+t^5.56+t^5.8-t^6.+6*t^6.44+2*t^6.54+2*t^6.64+4*t^6.87+6*t^7.07+t^7.27+2*t^7.31+6*t^7.51+4*t^7.61+3*t^7.71+t^7.74+t^7.81+3*t^7.94+t^8.38+8*t^8.58+2*t^8.78+t^8.88+t^8.98+t^8.15/y^2-(2*t^8.68)/y^2-t^3.54/y-t^4.61/y-(2*t^5.68)/y-t^6.12/y-t^6.32/y-(3*t^6.75)/y-t^6.85/y-t^7.19/y+t^7.29/y+(2*t^7.73)/y-(4*t^7.83)/y+t^7.93/y-(2*t^8.26)/y+(3*t^8.36)/y+t^8.46/y-t^8.7/y+t^8.8/y-(5*t^8.9)/y-t^3.54*y-t^4.61*y-2*t^5.68*y-t^6.12*y-t^6.32*y-3*t^6.75*y-t^6.85*y-t^7.19*y+t^7.29*y+2*t^7.73*y-4*t^7.83*y+t^7.93*y-2*t^8.26*y+3*t^8.36*y+t^8.46*y-t^8.7*y+t^8.8*y-5*t^8.9*y+t^8.15*y^2-2*t^8.68*y^2 | (2*t^2.15)/g1^8+t^2.58/g1^32+g1^12*t^2.78+t^3.22/g1^12+g1^10*t^3.32+(4*t^4.29)/g1^16+g1^6*t^4.39+g1^28*t^4.49+(2*t^4.73)/g1^40+3*g1^4*t^4.93+t^5.16/g1^64+(3*t^5.36)/g1^20+2*g1^2*t^5.46+g1^24*t^5.56+t^5.8/g1^44-t^6.+(6*t^6.44)/g1^24+(2*t^6.54)/g1^2+2*g1^20*t^6.64+(4*t^6.87)/g1^48+(6*t^7.07)/g1^4+g1^40*t^7.27+(2*t^7.31)/g1^72+(6*t^7.51)/g1^28+(4*t^7.61)/g1^6+3*g1^16*t^7.71+t^7.74/g1^96+g1^38*t^7.81+(3*t^7.94)/g1^52+t^8.38/g1^76+(8*t^8.58)/g1^32+2*g1^12*t^8.78+g1^34*t^8.88+g1^56*t^8.98+t^8.15/(g1^8*y^2)-(2*t^8.68)/(g1^10*y^2)-t^3.54/(g1^2*y)-t^4.61/(g1^6*y)-(2*t^5.68)/(g1^10*y)-t^6.12/(g1^34*y)-(g1^10*t^6.32)/y-(3*t^6.75)/(g1^14*y)-(g1^8*t^6.85)/y-t^7.19/(g1^38*y)+t^7.29/(g1^16*y)+(2*t^7.73)/(g1^40*y)-(4*t^7.83)/(g1^18*y)+(g1^4*t^7.93)/y-(2*t^8.26)/(g1^42*y)+(3*t^8.36)/(g1^20*y)+(g1^2*t^8.46)/y-t^8.7/(g1^66*y)+t^8.8/(g1^44*y)-(5*t^8.9)/(g1^22*y)-(t^3.54*y)/g1^2-(t^4.61*y)/g1^6-(2*t^5.68*y)/g1^10-(t^6.12*y)/g1^34-g1^10*t^6.32*y-(3*t^6.75*y)/g1^14-g1^8*t^6.85*y-(t^7.19*y)/g1^38+(t^7.29*y)/g1^16+(2*t^7.73*y)/g1^40-(4*t^7.83*y)/g1^18+g1^4*t^7.93*y-(2*t^8.26*y)/g1^42+(3*t^8.36*y)/g1^20+g1^2*t^8.46*y-(t^8.7*y)/g1^66+(t^8.8*y)/g1^44-(5*t^8.9*y)/g1^22+(t^8.15*y^2)/g1^8-(2*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 8518 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ | 1.175 | 1.3156 | 0.8931 | [X:[1.625], M:[0.75, 1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | 2*t^2.25+t^2.62+t^3.+t^3.19+t^3.38+t^4.12+t^4.31+4*t^4.5+3*t^4.88+3*t^5.25+2*t^5.44+3*t^5.62-t^3.56/y-t^4.69/y-(2*t^5.81)/y-t^3.56*y-t^4.69*y-2*t^5.81*y | detail | {a: 19251/16384, c: 21555/16384, X1: 13/8, M1: 3/4, M2: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8519 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_1^2$ | 1.1953 | 1.3428 | 0.8901 | [X:[1.6395], M:[0.721, 0.8841, 0.9185], q:[0.4506, 0.4678], qb:[], phi:[0.1803]] | 2*t^2.16+t^2.65+2*t^2.76+t^3.3+4*t^4.33+t^4.38+t^4.43+2*t^4.82+5*t^4.92+t^5.3+2*t^5.41+2*t^5.46+3*t^5.51-2*t^6.-t^3.54/y-t^4.62/y-(2*t^5.7)/y-t^3.54*y-t^4.62*y-2*t^5.7*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8201 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ | 1.1784 | 1.3155 | 0.8958 | [X:[1.6343], M:[0.7314], q:[0.4571, 0.4458], qb:[], phi:[0.1828]] | 2*t^2.19+t^2.71+t^3.22+t^3.26+t^3.29+t^4.32+t^4.35+4*t^4.39+3*t^4.9+3*t^5.42+2*t^5.45+2*t^5.49+t^5.93-t^6.-t^3.55/y-t^4.65/y-(2*t^5.74)/y-t^3.55*y-t^4.65*y-2*t^5.74*y | detail |