Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
55401	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$	0.696	0.8546	0.8144	[M:[1.0313, 0.9364, 0.9687, 1.0428, 1.0104, 0.9572, 0.9896], q:[0.5214, 0.4473], qb:[0.5423, 0.5099], phi:[0.4948]]	[M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-12, 8], [-2, -2]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-3	t^2.809 + t^2.872 + t^2.906 + 2*t^2.969 + t^3.094 + t^3.156 + t^4.168 + t^4.356 + t^4.39 + t^4.453 + t^4.544 + t^4.578 + t^4.613 + t^4.641 + t^4.675 + t^4.738 + t^5.618 + t^5.681 + t^5.743 + 2*t^5.778 + 2*t^5.84 + 2*t^5.875 + 2*t^5.937 + t^5.966 - 3*t^6. + t^6.028 - t^6.034 + t^6.063 - t^6.097 + 2*t^6.125 - t^6.222 + t^6.25 - t^6.285 + t^6.313 + t^6.977 + t^7.04 + t^7.074 + 2*t^7.137 + t^7.165 - t^7.2 + t^7.228 + 2*t^7.262 + 3*t^7.325 + t^7.353 + 2*t^7.359 - t^7.387 + t^7.415 + t^7.422 + 2*t^7.45 - t^7.484 + 3*t^7.512 + 3*t^7.547 - t^7.575 + t^7.581 + 2*t^7.61 + t^7.638 + t^7.644 - t^7.672 + t^7.7 + t^7.707 + t^7.735 - t^7.769 + t^7.797 + t^7.832 + t^7.894 + t^8.336 + t^8.427 + t^8.49 + t^8.524 + t^8.552 + t^8.559 + t^8.587 + t^8.615 + 2*t^8.649 - t^8.684 + 3*t^8.712 + 4*t^8.746 + t^8.781 + t^8.837 + 3*t^8.844 - 5*t^8.872 + 2*t^8.9 - t^8.906 + 2*t^8.934 - 7*t^8.969 + 2*t^8.997 - t^4.484/y - t^7.293/y - t^7.453/y + t^7.516/y + t^7.675/y + t^8.681/y + t^8.715/y + (3*t^8.778)/y + (2*t^8.84)/y + (2*t^8.875)/y + t^8.903/y + t^8.937/y + (2*t^8.966)/y - t^4.484*y - t^7.293*y - t^7.453*y + t^7.516*y + t^7.675*y + t^8.681*y + t^8.715*y + 3*t^8.778*y + 2*t^8.84*y + 2*t^8.875*y + t^8.903*y + t^8.937*y + 2*t^8.966*y	(g2^4*t^2.809)/g1^16 + (g2^8*t^2.872)/g1^12 + t^2.906/(g1^6*g2^6) + (2*t^2.969)/(g1^2*g2^2) + g1^6*g2^6*t^3.094 + g1^10*g2^10*t^3.156 + t^4.168/(g1^25*g2^5) + (g2^7*t^4.356)/g1^13 + t^4.39/(g1^7*g2^7) + t^4.453/(g1^3*g2^3) + (g2^19*t^4.544)/g1 + g1^5*g2^5*t^4.578 + (g1^11*t^4.613)/g2^9 + g1^9*g2^9*t^4.641 + (g1^15*t^4.675)/g2^5 + (g1^19*t^4.738)/g2 + (g2^8*t^5.618)/g1^32 + (g2^12*t^5.681)/g1^28 + (g2^16*t^5.743)/g1^24 + (2*g2^2*t^5.778)/g1^18 + (2*g2^6*t^5.84)/g1^14 + (2*t^5.875)/(g1^8*g2^8) + (2*t^5.937)/(g1^4*g2^4) + (g2^14*t^5.966)/g1^6 - 3*t^6. + (g2^18*t^6.028)/g1^2 - (g1^6*t^6.034)/g2^14 + g1^4*g2^4*t^6.063 - (g1^10*t^6.097)/g2^10 + 2*g1^8*g2^8*t^6.125 - (g1^18*t^6.222)/g2^2 + g1^16*g2^16*t^6.25 - g1^22*g2^2*t^6.285 + g1^20*g2^20*t^6.313 + t^6.977/(g1^41*g2) + (g2^3*t^7.04)/g1^37 + t^7.074/(g1^31*g2^11) + (2*t^7.137)/(g1^27*g2^7) + (g2^11*t^7.165)/g1^29 - t^7.2/(g1^23*g2^3) + (g2^15*t^7.228)/g1^25 + (2*g2*t^7.262)/g1^19 + (3*g2^5*t^7.325)/g1^15 + (g2^23*t^7.353)/g1^17 + (2*t^7.359)/(g1^9*g2^9) - (g2^9*t^7.387)/g1^11 + (g2^27*t^7.415)/g1^13 + t^7.422/(g1^5*g2^5) + (2*g2^13*t^7.45)/g1^7 - t^7.484/(g1*g2) + (3*g2^17*t^7.512)/g1^3 + 3*g1^3*g2^3*t^7.547 - g1*g2^21*t^7.575 + (g1^9*t^7.581)/g2^11 + 2*g1^7*g2^7*t^7.61 + g1^5*g2^25*t^7.638 + (g1^13*t^7.644)/g2^7 - g1^11*g2^11*t^7.672 + g1^9*g2^29*t^7.7 + (g1^17*t^7.707)/g2^3 + g1^15*g2^15*t^7.735 - g1^21*g2*t^7.769 + g1^19*g2^19*t^7.797 + g1^25*g2^5*t^7.832 + g1^29*g2^9*t^7.894 + t^8.336/(g1^50*g2^10) + (g2^12*t^8.427)/g1^48 + (g2^16*t^8.49)/g1^44 + (g2^2*t^8.524)/g1^38 + (g2^20*t^8.552)/g1^40 + t^8.559/(g1^32*g2^12) + (g2^6*t^8.587)/g1^34 + (g2^24*t^8.615)/g1^36 + (2*g2^10*t^8.649)/g1^30 - t^8.684/(g1^24*g2^4) + (3*g2^14*t^8.712)/g1^26 + (4*t^8.746)/g1^20 + t^8.781/(g1^14*g2^14) + (g2^22*t^8.837)/g1^18 + (3*t^8.844)/(g1^10*g2^10) - (5*g2^8*t^8.872)/g1^12 + (2*g2^26*t^8.9)/g1^14 - t^8.906/(g1^6*g2^6) + (2*g2^12*t^8.934)/g1^8 - (7*t^8.969)/(g1^2*g2^2) + (2*g2^16*t^8.997)/g1^4 - t^4.484/(g1*g2*y) - (g2^3*t^7.293)/(g1^17*y) - t^7.453/(g1^3*g2^3*y) + (g1*g2*t^7.516)/y + (g1^15*t^7.675)/(g2^5*y) + (g2^12*t^8.681)/(g1^28*y) + t^8.715/(g1^22*g2^2*y) + (3*g2^2*t^8.778)/(g1^18*y) + (2*g2^6*t^8.84)/(g1^14*y) + (2*t^8.875)/(g1^8*g2^8*y) + (g2^10*t^8.903)/(g1^10*y) + t^8.937/(g1^4*g2^4*y) + (2*g2^14*t^8.966)/(g1^6*y) - (t^4.484*y)/(g1*g2) - (g2^3*t^7.293*y)/g1^17 - (t^7.453*y)/(g1^3*g2^3) + g1*g2*t^7.516*y + (g1^15*t^7.675*y)/g2^5 + (g2^12*t^8.681*y)/g1^28 + (t^8.715*y)/(g1^22*g2^2) + (3*g2^2*t^8.778*y)/g1^18 + (2*g2^6*t^8.84*y)/g1^14 + (2*t^8.875*y)/(g1^8*g2^8) + (g2^10*t^8.903*y)/g1^10 + (t^8.937*y)/(g1^4*g2^4) + (2*g2^14*t^8.966*y)/g1^6

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

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
46838	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$	0.6951	0.8535	0.8144	[M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]]	t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. - t^4.488/y - t^4.488*y	detail