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 |
---|---|---|---|---|---|---|---|---|---|
60569 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4405 | 1.623 | 0.8875 | [X:[1.3439], M:[1.0158], q:[0.4743, 0.4585], qb:[0.5257, 0.5731], phi:[0.3281]] | [X:[[6]], M:[[9]], q:[[17], [8]], qb:[[-17], [10]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.95 + t^3. + t^3.05 + t^3.09 + t^3.14 + t^3.94 + t^3.98 + t^4.03 + t^4.08 + t^4.13 + t^4.92 + t^4.97 + t^5.06 + t^5.11 + t^5.16 + t^5.21 + t^5.91 - t^6. + t^6.05 + 3*t^6.09 + 2*t^6.14 + 3*t^6.19 + t^6.24 + t^6.28 + t^6.89 + t^6.94 + t^6.98 + 3*t^7.03 + 5*t^7.08 + 4*t^7.13 + 4*t^7.17 + 2*t^7.22 + t^7.27 + t^7.68 + t^7.87 + t^7.92 + 2*t^7.97 + 2*t^8.02 + 4*t^8.06 + 4*t^8.11 + 4*t^8.16 + 3*t^8.21 + 3*t^8.25 + 2*t^8.3 + t^8.35 - t^8.72 - t^8.76 + t^8.86 + t^8.91 + t^8.95/y^2 - t^3.98/y - t^4.97/y - t^6.94/y - t^6.98/y - t^7.03/y - t^7.08/y - t^7.13/y - t^7.92/y - t^7.97/y - t^8.02/y - t^8.06/y - t^8.11/y - t^8.91/y - t^3.98*y - t^4.97*y - t^6.94*y - t^6.98*y - t^7.03*y - t^7.08*y - t^7.13*y - t^7.92*y - t^7.97*y - t^8.02*y - t^8.06*y - t^8.11*y - t^8.91*y + t^8.95*y^2 | t^2.95/g1^9 + t^3. + g1^9*t^3.05 + g1^18*t^3.09 + g1^27*t^3.14 + t^3.94/g1^12 + t^3.98/g1^3 + g1^6*t^4.03 + g1^15*t^4.08 + g1^24*t^4.13 + t^4.92/g1^15 + t^4.97/g1^6 + g1^12*t^5.06 + g1^21*t^5.11 + g1^30*t^5.16 + g1^39*t^5.21 + t^5.91/g1^18 - t^6. + g1^9*t^6.05 + 3*g1^18*t^6.09 + 2*g1^27*t^6.14 + 3*g1^36*t^6.19 + g1^45*t^6.24 + g1^54*t^6.28 + t^6.89/g1^21 + t^6.94/g1^12 + t^6.98/g1^3 + 3*g1^6*t^7.03 + 5*g1^15*t^7.08 + 4*g1^24*t^7.13 + 4*g1^33*t^7.17 + 2*g1^42*t^7.22 + g1^51*t^7.27 + t^7.68/g1^60 + t^7.87/g1^24 + t^7.92/g1^15 + (2*t^7.97)/g1^6 + 2*g1^3*t^8.02 + 4*g1^12*t^8.06 + 4*g1^21*t^8.11 + 4*g1^30*t^8.16 + 3*g1^39*t^8.21 + 3*g1^48*t^8.25 + 2*g1^57*t^8.3 + g1^66*t^8.35 - t^8.72/g1^54 - t^8.76/g1^45 + t^8.86/g1^27 + t^8.91/g1^18 + t^8.95/(g1^9*y^2) - t^3.98/(g1^3*y) - t^4.97/(g1^6*y) - t^6.94/(g1^12*y) - t^6.98/(g1^3*y) - (g1^6*t^7.03)/y - (g1^15*t^7.08)/y - (g1^24*t^7.13)/y - t^7.92/(g1^15*y) - t^7.97/(g1^6*y) - (g1^3*t^8.02)/y - (g1^12*t^8.06)/y - (g1^21*t^8.11)/y - t^8.91/(g1^18*y) - (t^3.98*y)/g1^3 - (t^4.97*y)/g1^6 - (t^6.94*y)/g1^12 - (t^6.98*y)/g1^3 - g1^6*t^7.03*y - g1^15*t^7.08*y - g1^24*t^7.13*y - (t^7.92*y)/g1^15 - (t^7.97*y)/g1^6 - g1^3*t^8.02*y - g1^12*t^8.06*y - g1^21*t^8.11*y - (t^8.91*y)/g1^18 + (t^8.95*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 |
---|---|---|---|---|---|---|---|---|
61237 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4464 | 1.6305 | 0.8871 | [X:[1.3514], M:[1.027, 0.9189], q:[0.4955, 0.4685], qb:[0.5045, 0.5856], phi:[0.3243]] | t^2.76 + t^2.92 + t^3. + t^3.08 + t^3.16 + t^3.89 + t^3.97 + t^4.05 + t^4.14 + t^4.22 + t^4.86 + t^4.95 + t^5.11 + t^5.19 + t^5.27 + t^5.35 + t^5.51 + t^5.68 + t^5.76 + 2*t^5.84 + t^5.92 - t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail | |
61224 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3968 | 1.5603 | 0.8952 | [X:[1.3846], M:[1.0769], q:[0.5897, 0.5128], qb:[0.4103, 0.641], phi:[0.3077]] | t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + t^5.31 + 2*t^5.54 + t^5.77 - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | {a: 3777/2704, c: 4219/2704, X1: 18/13, M1: 14/13, q1: 23/39, q2: 20/39, qb1: 16/39, qb2: 25/39, phi1: 4/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
57608 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4746 | 1.6852 | 0.875 | [X:[], M:[0.9914], q:[0.4913, 0.4999], qb:[0.5087, 0.4829], phi:[0.3362]] | t^2.02 + t^2.92 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.93 + t^3.96 + t^4.01 + 2*t^4.03 + 2*t^4.94 + 2*t^4.97 + t^4.99 + 2*t^5.02 + 2*t^5.04 + t^5.43 + t^5.46 + t^5.48 + t^5.51 + t^5.85 + t^5.87 + 2*t^5.9 + t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |