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 |
---|---|---|---|---|---|---|---|---|---|
57941 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.2954 | 1.4773 | 0.8769 | [X:[1.3873], M:[0.7659], q:[0.6696, 0.5164], qb:[0.2582, 0.7177], phi:[0.3063]] | [X:[[12]], M:[[-15]], q:[[13], [16]], qb:[[8], [-1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{1}$ | 0 | t^2.3 + t^2.32 + t^2.76 + t^2.78 + t^3.24 + t^3.7 + 3*t^4.16 + t^4.6 + 3*t^4.62 + t^4.65 + t^5.05 + 4*t^5.08 + t^5.11 + t^5.51 + 2*t^5.54 + 2*t^5.57 + 3*t^6.03 + t^6.46 + 6*t^6.49 + t^6.89 + 2*t^6.92 + 8*t^6.95 + t^6.97 + t^7.35 + t^7.38 + 10*t^7.4 + t^7.43 + t^7.81 + 2*t^7.84 + 9*t^7.86 + 2*t^7.89 + t^8.27 - 3*t^8.3 + 9*t^8.32 + 4*t^8.35 + 6*t^8.78 + 8*t^8.81 + t^8.76/y^2 - t^3.92/y - t^4.84/y - t^6.22/y - t^6.24/y - t^6.68/y - t^6.7/y - t^7.14/y - t^7.16/y - t^7.6/y + t^8.05/y + t^8.11/y - t^8.51/y + t^8.54/y - t^8.97/y - t^3.92*y - t^4.84*y - t^6.22*y - t^6.24*y - t^6.68*y - t^6.7*y - t^7.14*y - t^7.16*y - t^7.6*y + t^8.05*y + t^8.11*y - t^8.51*y + t^8.54*y - t^8.97*y + t^8.76*y^2 | t^2.3/g1^15 + g1^24*t^2.32 + t^2.76/g1^18 + g1^21*t^2.78 + g1^18*t^3.24 + g1^15*t^3.7 + 3*g1^12*t^4.16 + t^4.6/g1^30 + 3*g1^9*t^4.62 + g1^48*t^4.65 + t^5.05/g1^33 + 4*g1^6*t^5.08 + g1^45*t^5.11 + t^5.51/g1^36 + 2*g1^3*t^5.54 + 2*g1^42*t^5.57 + 3*g1^39*t^6.03 + t^6.46/g1^3 + 6*g1^36*t^6.49 + t^6.89/g1^45 + (2*t^6.92)/g1^6 + 8*g1^33*t^6.95 + g1^72*t^6.97 + t^7.35/g1^48 + t^7.38/g1^9 + 10*g1^30*t^7.4 + g1^69*t^7.43 + t^7.81/g1^51 + (2*t^7.84)/g1^12 + 9*g1^27*t^7.86 + 2*g1^66*t^7.89 + t^8.27/g1^54 - (3*t^8.3)/g1^15 + 9*g1^24*t^8.32 + 4*g1^63*t^8.35 + 6*g1^21*t^8.78 + 8*g1^60*t^8.81 + t^8.76/(g1^18*y^2) - t^3.92/(g1^6*y) - t^4.84/(g1^12*y) - t^6.22/(g1^21*y) - (g1^18*t^6.24)/y - t^6.68/(g1^24*y) - (g1^15*t^6.7)/y - t^7.14/(g1^27*y) - (g1^12*t^7.16)/y - t^7.6/(g1^30*y) + t^8.05/(g1^33*y) + (g1^45*t^8.11)/y - t^8.51/(g1^36*y) + (g1^3*t^8.54)/y - t^8.97/(g1^39*y) - (t^3.92*y)/g1^6 - (t^4.84*y)/g1^12 - (t^6.22*y)/g1^21 - g1^18*t^6.24*y - (t^6.68*y)/g1^24 - g1^15*t^6.7*y - (t^7.14*y)/g1^27 - g1^12*t^7.16*y - (t^7.6*y)/g1^30 + (t^8.05*y)/g1^33 + g1^45*t^8.11*y - (t^8.51*y)/g1^36 + g1^3*t^8.54*y - (t^8.97*y)/g1^39 + (t^8.76*y^2)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
61071 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.2591 | 1.4362 | 0.8767 | [X:[1.3333, 1.3333], M:[0.8333], q:[0.6111, 0.4444], qb:[0.2222, 0.7222], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + t^3.5 + 4*t^4. + 2*t^4.5 + 5*t^5. + 5*t^5.5 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 967/768, c: 1103/768, X1: 4/3, X2: 4/3, M1: 5/6, q1: 11/18, q2: 4/9, qb1: 2/9, qb2: 13/18, phi1: 1/3} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57302 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4334 | 1.623 | 0.8832 | [X:[1.3613], M:[0.7984], q:[0.4354, 0.5847], qb:[0.4469, 0.6169], phi:[0.3194]] | t^2.395 + t^2.647 + t^2.874 + t^3.095 + t^3.157 + t^3.605 + t^4.053 + t^4.084 + t^4.115 + 2*t^4.563 + t^4.79 + t^5.011 + t^5.042 + t^5.073 + t^5.269 + t^5.293 + t^5.324 + t^5.49 + 2*t^5.521 + t^5.741 + t^5.748 + t^5.773 + t^5.804 + t^5.969 - 2*t^6. - t^3.958/y - t^4.916/y - t^3.958*y - t^4.916*y | detail |