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 |
---|---|---|---|---|---|---|---|---|---|
1244 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.5757 | 0.7202 | 0.7994 | [X:[1.4706], M:[0.9059, 0.5294, 1.0, 0.8118, 1.0941, 0.9059], q:[0.8441, 0.75], qb:[0.25, 0.5323], phi:[0.4059]] | [X:[[5]], M:[[-1], [-5], [0], [-2], [1], [-1]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$ | ${}$ | -2 | t^2.347 + 2*t^2.435 + 2*t^2.718 + t^3. + t^3.847 + t^4.129 + t^4.412 + t^4.694 + 3*t^4.782 + 3*t^4.871 + 2*t^5.065 + 3*t^5.153 + t^5.347 + 4*t^5.435 + t^5.718 - 2*t^6. + t^6.194 - t^6.371 + t^6.476 + 2*t^6.565 - t^6.653 + t^6.759 + 3*t^6.847 - t^6.935 + t^7.041 + 3*t^7.129 + 3*t^7.218 + 4*t^7.306 + 2*t^7.412 + 3*t^7.5 + 4*t^7.588 + t^7.694 + 3*t^7.782 + 5*t^7.871 - t^8.065 + 3*t^8.153 + 2*t^8.259 - 4*t^8.347 - 3*t^8.435 + 2*t^8.541 - 5*t^8.718 - t^8.806 + 2*t^8.823 + 2*t^8.912 - t^4.218/y - (2*t^6.653)/y - t^6.935/y + t^7.5/y + (4*t^7.782)/y + t^7.871/y + (2*t^8.065)/y + (4*t^8.153)/y + t^8.347/y + (3*t^8.435)/y + (2*t^8.718)/y - t^4.218*y - 2*t^6.653*y - t^6.935*y + t^7.5*y + 4*t^7.782*y + t^7.871*y + 2*t^8.065*y + 4*t^8.153*y + t^8.347*y + 3*t^8.435*y + 2*t^8.718*y | g1^3*t^2.347 + (2*t^2.435)/g1^2 + (2*t^2.718)/g1 + t^3. + g1^3*t^3.847 + g1^4*t^4.129 + g1^5*t^4.412 + g1^6*t^4.694 + 3*g1*t^4.782 + (3*t^4.871)/g1^4 + 2*g1^2*t^5.065 + (3*t^5.153)/g1^3 + g1^3*t^5.347 + (4*t^5.435)/g1^2 + t^5.718/g1 - 2*t^6. + g1^6*t^6.194 - t^6.371/g1^4 + g1^7*t^6.476 + 2*g1^2*t^6.565 - t^6.653/g1^3 + g1^8*t^6.759 + 3*g1^3*t^6.847 - t^6.935/g1^2 + g1^9*t^7.041 + 3*g1^4*t^7.129 + (3*t^7.218)/g1 + (4*t^7.306)/g1^6 + 2*g1^5*t^7.412 + 3*t^7.5 + (4*t^7.588)/g1^5 + g1^6*t^7.694 + 3*g1*t^7.782 + (5*t^7.871)/g1^4 - g1^2*t^8.065 + (3*t^8.153)/g1^3 + 2*g1^8*t^8.259 - 4*g1^3*t^8.347 - (3*t^8.435)/g1^2 + 2*g1^9*t^8.541 - (5*t^8.718)/g1 - t^8.806/g1^6 + 2*g1^10*t^8.823 + 2*g1^5*t^8.912 - t^4.218/(g1*y) - (2*t^6.653)/(g1^3*y) - t^6.935/(g1^2*y) + t^7.5/y + (4*g1*t^7.782)/y + t^7.871/(g1^4*y) + (2*g1^2*t^8.065)/y + (4*t^8.153)/(g1^3*y) + (g1^3*t^8.347)/y + (3*t^8.435)/(g1^2*y) + (2*t^8.718)/(g1*y) - (t^4.218*y)/g1 - (2*t^6.653*y)/g1^3 - (t^6.935*y)/g1^2 + t^7.5*y + 4*g1*t^7.782*y + (t^7.871*y)/g1^4 + 2*g1^2*t^8.065*y + (4*t^8.153*y)/g1^3 + g1^3*t^8.347*y + (3*t^8.435*y)/g1^2 + (2*t^8.718*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
2314 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.5959 | 0.7583 | 0.7859 | [X:[1.4875], M:[0.9025, 0.5125, 1.0, 0.805, 1.0975, 0.9025, 0.7075], q:[0.8475, 0.75], qb:[0.25, 0.5425], phi:[0.4025]] | t^2.122 + t^2.378 + 2*t^2.415 + 2*t^2.707 + t^3. + t^4.17 + t^4.245 + t^4.463 + t^4.5 + 2*t^4.537 + t^4.755 + 3*t^4.793 + 5*t^4.83 + 2*t^5.085 + 4*t^5.122 + t^5.378 + 4*t^5.415 + t^5.707 - 2*t^6. - t^4.207/y - t^4.207*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
761 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}^{2}$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.307 + 2*t^2.462 + t^2.731 + t^3. + t^3.269 + t^3.807 + t^4.075 + t^4.344 + t^4.613 + 3*t^4.769 + 3*t^4.925 + t^5.038 + t^5.193 + t^5.307 + 2*t^5.462 + t^5.575 + 2*t^5.731 - t^6. - t^4.231/y - t^4.231*y | detail |