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
50959	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6484	0.8534	0.7598	[M:[0.7205, 0.6812, 1.0, 0.7598, 1.0393, 0.9214], q:[0.7598, 0.5196], qb:[0.5589, 0.2402], phi:[0.4804]]	[M:[[3], [7], [0], [-1], [-4], [8]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$	-1	t^2.044 + t^2.162 + 2*t^2.279 + t^2.397 + t^2.764 + t^2.882 + t^3. + t^3.118 + t^3.838 + t^4.087 + t^4.205 + 3*t^4.323 + 3*t^4.441 + 5*t^4.559 + 3*t^4.677 + 2*t^4.795 + t^4.808 + 2*t^4.926 + 3*t^5.044 + 4*t^5.162 + 4*t^5.279 + 3*t^5.397 + t^5.515 + t^5.528 + t^5.646 + 2*t^5.764 + t^5.882 - t^6. + t^6.118 + t^6.131 + t^6.236 + t^6.249 + 3*t^6.367 + 3*t^6.485 + 6*t^6.603 + 6*t^6.721 + 8*t^6.838 + t^6.852 + 6*t^6.956 + 2*t^6.97 + 4*t^7.074 + 4*t^7.087 + 2*t^7.192 + 6*t^7.205 + 8*t^7.323 + 8*t^7.441 + 7*t^7.559 + t^7.572 + 7*t^7.677 + 2*t^7.69 + 3*t^7.795 + 4*t^7.808 + t^7.913 + 4*t^7.926 + 2*t^8.044 + t^8.175 - 4*t^8.279 + 2*t^8.293 - 2*t^8.397 + 4*t^8.411 - t^8.515 + 5*t^8.528 + t^8.633 + 8*t^8.646 + 4*t^8.764 + 6*t^8.882 + t^8.895 - t^4.441/y - t^6.485/y - t^6.603/y - t^6.721/y + (2*t^7.323)/y + (3*t^7.441)/y + (2*t^7.559)/y + (3*t^7.677)/y + t^7.808/y + (2*t^7.926)/y + (4*t^8.044)/y + (6*t^8.162)/y + (5*t^8.279)/y + (4*t^8.397)/y + t^8.515/y - t^8.528/y - t^8.764/y + (2*t^8.882)/y - t^4.441*y - t^6.485*y - t^6.603*y - t^6.721*y + 2*t^7.323*y + 3*t^7.441*y + 2*t^7.559*y + 3*t^7.677*y + t^7.808*y + 2*t^7.926*y + 4*t^8.044*y + 6*t^8.162*y + 5*t^8.279*y + 4*t^8.397*y + t^8.515*y - t^8.528*y - t^8.764*y + 2*t^8.882*y	g1^7*t^2.044 + g1^3*t^2.162 + (2*t^2.279)/g1 + t^2.397/g1^5 + g1^8*t^2.764 + g1^4*t^2.882 + t^3. + t^3.118/g1^4 + t^3.838/g1^3 + g1^14*t^4.087 + g1^10*t^4.205 + 3*g1^6*t^4.323 + 3*g1^2*t^4.441 + (5*t^4.559)/g1^2 + (3*t^4.677)/g1^6 + (2*t^4.795)/g1^10 + g1^15*t^4.808 + 2*g1^11*t^4.926 + 3*g1^7*t^5.044 + 4*g1^3*t^5.162 + (4*t^5.279)/g1 + (3*t^5.397)/g1^5 + t^5.515/g1^9 + g1^16*t^5.528 + g1^12*t^5.646 + 2*g1^8*t^5.764 + g1^4*t^5.882 - t^6. + t^6.118/g1^4 + g1^21*t^6.131 + t^6.236/g1^8 + g1^17*t^6.249 + 3*g1^13*t^6.367 + 3*g1^9*t^6.485 + 6*g1^5*t^6.603 + 6*g1*t^6.721 + (8*t^6.838)/g1^3 + g1^22*t^6.852 + (6*t^6.956)/g1^7 + 2*g1^18*t^6.97 + (4*t^7.074)/g1^11 + 4*g1^14*t^7.087 + (2*t^7.192)/g1^15 + 6*g1^10*t^7.205 + 8*g1^6*t^7.323 + 8*g1^2*t^7.441 + (7*t^7.559)/g1^2 + g1^23*t^7.572 + (7*t^7.677)/g1^6 + 2*g1^19*t^7.69 + (3*t^7.795)/g1^10 + 4*g1^15*t^7.808 + t^7.913/g1^14 + 4*g1^11*t^7.926 + 2*g1^7*t^8.044 + g1^28*t^8.175 - (4*t^8.279)/g1 + 2*g1^24*t^8.293 - (2*t^8.397)/g1^5 + 4*g1^20*t^8.411 - t^8.515/g1^9 + 5*g1^16*t^8.528 + t^8.633/g1^13 + 8*g1^12*t^8.646 + 4*g1^8*t^8.764 + 6*g1^4*t^8.882 + g1^29*t^8.895 - (g1^2*t^4.441)/y - (g1^9*t^6.485)/y - (g1^5*t^6.603)/y - (g1*t^6.721)/y + (2*g1^6*t^7.323)/y + (3*g1^2*t^7.441)/y + (2*t^7.559)/(g1^2*y) + (3*t^7.677)/(g1^6*y) + (g1^15*t^7.808)/y + (2*g1^11*t^7.926)/y + (4*g1^7*t^8.044)/y + (6*g1^3*t^8.162)/y + (5*t^8.279)/(g1*y) + (4*t^8.397)/(g1^5*y) + t^8.515/(g1^9*y) - (g1^16*t^8.528)/y - (g1^8*t^8.764)/y + (2*g1^4*t^8.882)/y - g1^2*t^4.441*y - g1^9*t^6.485*y - g1^5*t^6.603*y - g1*t^6.721*y + 2*g1^6*t^7.323*y + 3*g1^2*t^7.441*y + (2*t^7.559*y)/g1^2 + (3*t^7.677*y)/g1^6 + g1^15*t^7.808*y + 2*g1^11*t^7.926*y + 4*g1^7*t^8.044*y + 6*g1^3*t^8.162*y + (5*t^8.279*y)/g1 + (4*t^8.397*y)/g1^5 + (t^8.515*y)/g1^9 - g1^16*t^8.528*y - g1^8*t^8.764*y + 2*g1^4*t^8.882*y

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
56374	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$	0.6284	0.8159	0.7702	[M:[0.7229, 0.6867, 1.0, 0.759, 1.0362, 0.9276, 1.2771], q:[0.759, 0.5181], qb:[0.5543, 0.241], phi:[0.4819]]	t^2.06 + 2*t^2.277 + t^2.386 + t^2.783 + t^2.891 + t^3. + t^3.109 + 2*t^3.831 + t^4.12 + 2*t^4.337 + t^4.446 + 4*t^4.554 + 3*t^4.663 + 2*t^4.771 + t^4.843 + t^4.951 + 2*t^5.06 + 3*t^5.169 + 3*t^5.277 + 3*t^5.386 + t^5.494 + t^5.566 + t^5.674 + 2*t^5.783 + 2*t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y	detail
56383	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6685	0.8912	0.7501	[M:[0.7184, 0.6762, 1.0, 0.7605, 1.0422, 0.9157, 0.7184], q:[0.7605, 0.5211], qb:[0.5632, 0.2395], phi:[0.4789]]	t^2.029 + 2*t^2.155 + 2*t^2.282 + t^2.408 + t^2.747 + t^2.874 + t^3. + t^3.126 + t^4.057 + 2*t^4.184 + 5*t^4.31 + 5*t^4.437 + 6*t^4.563 + 3*t^4.69 + t^4.776 + 2*t^4.816 + 3*t^4.902 + 4*t^5.029 + 5*t^5.155 + 5*t^5.282 + 3*t^5.408 + t^5.494 + t^5.535 + t^5.621 + 2*t^5.747 - 2*t^6. - t^4.437/y - t^4.437*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

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
46859	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6504	0.8579	0.7582	[M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]]	t^2.042 + t^2.09 + t^2.19 + t^2.337 + t^2.384 + t^2.706 + t^2.853 + t^3. + t^3.147 + t^3.763 + t^4.085 + t^4.132 + t^4.179 + t^4.232 + t^4.279 + 2*t^4.379 + 2*t^4.426 + t^4.474 + t^4.526 + t^4.574 + 2*t^4.674 + 2*t^4.721 + t^4.748 + 2*t^4.768 + t^4.795 + 2*t^4.895 + t^4.942 + 2*t^5.042 + t^5.09 + 3*t^5.19 + 2*t^5.237 + 2*t^5.337 + t^5.384 + t^5.411 + t^5.484 + t^5.531 + t^5.558 + 2*t^5.706 + t^5.806 + 2*t^5.853 - 2*t^6. - t^4.426/y - t^4.426*y	detail