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
2036	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6556	0.8224	0.7972	[X:[1.5546], M:[0.4454, 1.1849, 0.7773, 0.8909, 0.7773, 0.7394], q:[0.7962, 0.7583], qb:[0.4644, 0.3508], phi:[0.4076]]	[X:[[12]], M:[[-12], [4], [6], [-24], [6], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.218 + 2*t^2.332 + t^2.445 + t^2.673 + t^3.327 + t^3.441 + t^3.555 + t^4.009 + t^4.436 + 3*t^4.55 + 5*t^4.664 + t^4.777 + 3*t^4.891 + 2*t^5.005 + t^5.345 + t^5.546 + 2*t^5.659 + 5*t^5.773 + 2*t^5.886 - 2*t^6. + t^6.227 + t^6.454 + 2*t^6.655 + t^6.682 + 4*t^6.768 + 6*t^6.882 + 7*t^6.995 + 3*t^7.109 + 2*t^7.223 + 4*t^7.336 + t^7.564 + 2*t^7.677 + t^7.764 + 3*t^7.877 + 7*t^7.991 + 2*t^8.018 + 7*t^8.105 + t^8.218 - 6*t^8.332 - t^8.445 - t^8.559 - 3*t^8.673 + 2*t^8.873 + 3*t^8.9 + 5*t^8.986 - t^4.223/y - t^6.441/y - (2*t^6.555)/y - t^6.895/y + (3*t^7.55)/y + (2*t^7.664)/y + (2*t^7.777)/y + (3*t^7.891)/y + (3*t^8.005)/y + t^8.118/y + t^8.546/y + (2*t^8.659)/y + (2*t^8.773)/y - t^4.223*y - t^6.441*y - 2*t^6.555*y - t^6.895*y + 3*t^7.55*y + 2*t^7.664*y + 2*t^7.777*y + 3*t^7.891*y + 3*t^8.005*y + t^8.118*y + t^8.546*y + 2*t^8.659*y + 2*t^8.773*y	g1^16*t^2.218 + 2*g1^6*t^2.332 + t^2.445/g1^4 + t^2.673/g1^24 + g1^24*t^3.327 + g1^14*t^3.441 + g1^4*t^3.555 + t^4.009/g1^36 + g1^32*t^4.436 + 3*g1^22*t^4.55 + 5*g1^12*t^4.664 + g1^2*t^4.777 + (3*t^4.891)/g1^8 + (2*t^5.005)/g1^18 + t^5.345/g1^48 + g1^40*t^5.546 + 2*g1^30*t^5.659 + 5*g1^20*t^5.773 + 2*g1^10*t^5.886 - 2*t^6. + t^6.227/g1^20 + t^6.454/g1^40 + 2*g1^48*t^6.655 + t^6.682/g1^60 + 4*g1^38*t^6.768 + 6*g1^28*t^6.882 + 7*g1^18*t^6.995 + 3*g1^8*t^7.109 + (2*t^7.223)/g1^2 + (4*t^7.336)/g1^12 + t^7.564/g1^32 + (2*t^7.677)/g1^42 + g1^56*t^7.764 + 3*g1^46*t^7.877 + 7*g1^36*t^7.991 + (2*t^8.018)/g1^72 + 7*g1^26*t^8.105 + g1^16*t^8.218 - 6*g1^6*t^8.332 - t^8.445/g1^4 - t^8.559/g1^14 - (3*t^8.673)/g1^24 + 2*g1^64*t^8.873 + (3*t^8.9)/g1^44 + 5*g1^54*t^8.986 - t^4.223/(g1^2*y) - (g1^14*t^6.441)/y - (2*g1^4*t^6.555)/y - t^6.895/(g1^26*y) + (3*g1^22*t^7.55)/y + (2*g1^12*t^7.664)/y + (2*g1^2*t^7.777)/y + (3*t^7.891)/(g1^8*y) + (3*t^8.005)/(g1^18*y) + t^8.118/(g1^28*y) + (g1^40*t^8.546)/y + (2*g1^30*t^8.659)/y + (2*g1^20*t^8.773)/y - (t^4.223*y)/g1^2 - g1^14*t^6.441*y - 2*g1^4*t^6.555*y - (t^6.895*y)/g1^26 + 3*g1^22*t^7.55*y + 2*g1^12*t^7.664*y + 2*g1^2*t^7.777*y + (3*t^7.891*y)/g1^8 + (3*t^8.005*y)/g1^18 + (t^8.118*y)/g1^28 + g1^40*t^8.546*y + 2*g1^30*t^8.659*y + 2*g1^20*t^8.773*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
3104	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$	0.4642	0.5814	0.7984	[X:[1.75, 1.5], M:[0.25, 1.25, 0.875, 0.5, 0.875, 1.0], q:[0.8125, 0.9375], qb:[0.1875, 0.5625], phi:[0.375]]	2*t^2.25 + 2*t^2.625 + t^3. + t^4.125 + 6*t^4.5 + t^4.875 + 5*t^5.25 + 2*t^5.625 - 5*t^6. - t^4.125/y - t^4.125*y	detail	{a: 7605/16384, c: 9525/16384, X1: 7/4, X2: 3/2, M1: 1/4, M2: 5/4, M3: 7/8, M4: 1/2, M5: 7/8, M6: 1, q1: 13/16, q2: 15/16, qb1: 3/16, qb2: 9/16, phi1: 3/8}
3105	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.6669	0.8411	0.793	[X:[1.572], M:[0.428, 1.1907, 0.786, 0.856, 0.786, 0.7627, 0.856], q:[0.7977, 0.7743], qb:[0.4397, 0.3697], phi:[0.4047]]	t^2.288 + 2*t^2.358 + t^2.428 + 2*t^2.568 + t^3.502 + t^3.572 + t^3.852 + t^4.576 + 3*t^4.646 + 5*t^4.716 + t^4.786 + 4*t^4.856 + 4*t^4.926 + t^4.996 + 3*t^5.136 + 4*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.214/y - t^4.214*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
863	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6363	0.7867	0.8088	[X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]]	2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. - t^4.22/y - t^4.22*y	detail