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 |
---|---|---|---|---|---|---|---|---|---|
60759 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4634 | 1.6644 | 0.8793 | [X:[1.3515], M:[0.6757], q:[0.4777, 0.4777], qb:[0.5223, 0.5767], phi:[0.3243]] | [X:[[6]], M:[[3]], q:[[11], [11]], qb:[[-11], [7]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.03 + t^2.92 + 2*t^3. + 2*t^3.16 + t^3.97 + 2*t^4.05 + 2*t^4.14 + 3*t^4.95 + 2*t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 - t^6. + 4*t^6.08 + 5*t^6.16 + 2*t^6.24 + 3*t^6.33 + t^6.89 + 2*t^6.97 + 6*t^7.05 + 6*t^7.14 + 8*t^7.22 + 5*t^7.3 + t^7.62 + t^7.86 + 4*t^7.95 + 10*t^8.11 + 7*t^8.19 + 9*t^8.27 + 3*t^8.35 + 4*t^8.44 - 2*t^8.67 + t^8.76 + 2*t^8.92 + t^8.92/y^2 - t^3.97/y - t^4.95/y - t^6./y - t^6.89/y - (3*t^6.97)/y - (2*t^7.14)/y - t^7.86/y + t^8.03/y - (2*t^8.11)/y + (2*t^8.19)/y - t^3.97*y - t^4.95*y - t^6.*y - t^6.89*y - 3*t^6.97*y - 2*t^7.14*y - t^7.86*y + t^8.03*y - 2*t^8.11*y + 2*t^8.19*y + t^8.92*y^2 | g1^3*t^2.03 + t^2.92/g1^9 + 2*t^3. + 2*g1^18*t^3.16 + t^3.97/g1^3 + 2*g1^6*t^4.05 + 2*g1^15*t^4.14 + (3*t^4.95)/g1^6 + 2*g1^3*t^5.03 + 2*g1^12*t^5.11 + 2*g1^21*t^5.19 + 2*g1^30*t^5.27 + t^5.84/g1^18 + (2*t^5.92)/g1^9 - t^6. + 4*g1^9*t^6.08 + 5*g1^18*t^6.16 + 2*g1^27*t^6.24 + 3*g1^36*t^6.33 + t^6.89/g1^12 + (2*t^6.97)/g1^3 + 6*g1^6*t^7.05 + 6*g1^15*t^7.14 + 8*g1^24*t^7.22 + 5*g1^33*t^7.3 + t^7.62/g1^42 + t^7.86/g1^15 + (4*t^7.95)/g1^6 + 10*g1^12*t^8.11 + 7*g1^21*t^8.19 + 9*g1^30*t^8.27 + 3*g1^39*t^8.35 + 4*g1^48*t^8.44 - (2*t^8.67)/g1^36 + t^8.76/g1^27 + (2*t^8.92)/g1^9 + t^8.92/(g1^9*y^2) - t^3.97/(g1^3*y) - t^4.95/(g1^6*y) - t^6./y - t^6.89/(g1^12*y) - (3*t^6.97)/(g1^3*y) - (2*g1^15*t^7.14)/y - t^7.86/(g1^15*y) + (g1^3*t^8.03)/y - (2*g1^12*t^8.11)/y + (2*g1^21*t^8.19)/y - (t^3.97*y)/g1^3 - (t^4.95*y)/g1^6 - t^6.*y - (t^6.89*y)/g1^12 - (3*t^6.97*y)/g1^3 - 2*g1^15*t^7.14*y - (t^7.86*y)/g1^15 + g1^3*t^8.03*y - 2*g1^12*t^8.11*y + 2*g1^21*t^8.19*y + (t^8.92*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61100 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.147 | 1.2876 | 0.8908 | [X:[1.5], M:[0.75], q:[0.75, 0.75], qb:[0.25, 0.75], phi:[0.25]] | 2*t^2.25 + 2*t^3. + t^3.75 + 9*t^4.5 + 6*t^5.25 - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 2349/2048, c: 2637/2048, X1: 3/2, M1: 3/4, q1: 3/4, q2: 3/4, qb1: 1/4, qb2: 3/4, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
57463 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4634 | 1.6644 | 0.8792 | [X:[1.3515], M:[0.6749], q:[0.4769, 0.4786], qb:[0.5223, 0.5767], phi:[0.3243]] | t^2.02 + t^2.92 + 2*t^3. + t^3.16 + t^3.17 + t^3.97 + 2*t^4.05 + t^4.13 + t^4.14 + 2*t^4.94 + t^4.95 + t^5.02 + t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 + t^5.99 - 2*t^6. - t^3.97/y - t^4.95/y - t^6./y - t^3.97*y - t^4.95*y - t^6.*y | detail |