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
799	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.6976	0.853	0.8178	[M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]]	[M:[[-2], [-4], [0], [4], [-2]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$	${}$	-2	t^2.845 + 3*t^2.922 + t^3. + t^3.155 + t^3.31 + t^4.228 + t^4.306 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.694 + t^4.772 + t^4.849 + t^5.767 + 6*t^5.845 + t^5.922 - 2*t^6. + t^6.078 + t^6.233 + t^6.31 + t^6.466 + t^6.621 + t^7.073 + 3*t^7.151 + 3*t^7.228 + 2*t^7.306 + 2*t^7.384 + 4*t^7.461 + 3*t^7.539 + t^7.616 + 3*t^7.694 + 3*t^7.772 + t^7.849 + 2*t^8.005 + t^8.082 + t^8.16 + t^8.457 + t^8.534 + 2*t^8.69 + 11*t^8.767 - 6*t^8.922 - t^4.461/y - (3*t^7.384)/y + (3*t^7.539)/y + (3*t^8.767)/y + (4*t^8.845)/y + (3*t^8.922)/y - t^4.461*y - 3*t^7.384*y + 3*t^7.539*y + 3*t^8.767*y + 4*t^8.845*y + 3*t^8.922*y	t^2.845/g1^4 + (3*t^2.922)/g1^2 + t^3. + g1^4*t^3.155 + g1^8*t^3.31 + t^4.228/g1^7 + t^4.306/g1^5 + t^4.384/g1^3 + t^4.461/g1 + 2*g1*t^4.539 + g1^3*t^4.616 + g1^5*t^4.694 + g1^7*t^4.772 + g1^9*t^4.849 + t^5.767/g1^6 + (6*t^5.845)/g1^4 + t^5.922/g1^2 - 2*t^6. + g1^2*t^6.078 + g1^6*t^6.233 + g1^8*t^6.31 + g1^12*t^6.466 + g1^16*t^6.621 + t^7.073/g1^11 + (3*t^7.151)/g1^9 + (3*t^7.228)/g1^7 + (2*t^7.306)/g1^5 + (2*t^7.384)/g1^3 + (4*t^7.461)/g1 + 3*g1*t^7.539 + g1^3*t^7.616 + 3*g1^5*t^7.694 + 3*g1^7*t^7.772 + g1^9*t^7.849 + 2*g1^13*t^8.005 + g1^15*t^8.082 + g1^17*t^8.16 + t^8.457/g1^14 + t^8.534/g1^12 + (2*t^8.69)/g1^8 + (11*t^8.767)/g1^6 - (6*t^8.922)/g1^2 - t^4.461/(g1*y) - (3*t^7.384)/(g1^3*y) + (3*g1*t^7.539)/y + (3*t^8.767)/(g1^6*y) + (4*t^8.845)/(g1^4*y) + (3*t^8.922)/(g1^2*y) - (t^4.461*y)/g1 - (3*t^7.384*y)/g1^3 + 3*g1*t^7.539*y + (3*t^8.767*y)/g1^6 + (4*t^8.845*y)/g1^4 + (3*t^8.922*y)/g1^2

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
1278	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$	0.7033	0.8629	0.815	[M:[0.964, 0.9281, 1.0, 1.0719, 0.964, 0.9281], q:[0.5899, 0.446], qb:[0.482, 0.554], phi:[0.482]]	2*t^2.784 + 3*t^2.892 + t^3. + t^3.432 + t^4.122 + t^4.23 + t^4.338 + t^4.446 + 2*t^4.554 + t^4.662 + t^4.77 + t^4.878 + t^4.986 + 2*t^5.568 + 4*t^5.676 + 7*t^5.784 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y	detail
1277	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7097	0.8751	0.811	[M:[0.9582, 0.9163, 1.0, 1.0837, 0.9582, 0.8326], q:[0.6046, 0.4372], qb:[0.4791, 0.5628], phi:[0.4791]]	t^2.498 + t^2.749 + 3*t^2.874 + t^3. + t^3.251 + t^4.061 + t^4.186 + t^4.312 + t^4.437 + 2*t^4.563 + t^4.688 + t^4.814 + t^4.939 + t^4.996 + t^5.065 + t^5.247 + 3*t^5.372 + t^5.498 + t^5.623 + 7*t^5.749 + t^5.874 - 2*t^6. - t^4.437/y - t^4.437*y	detail
2006	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5876	0.7394	0.7947	[M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]]	t^2.143 + 3*t^2.571 + 2*t^3. + t^3.429 + 2*t^3.857 + t^4.286 + 4*t^4.714 + 8*t^5.143 + 5*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y	detail	{a: 3225/5488, c: 2029/2744, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7}
2007	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6373	0.7901	0.8066	[M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]]	t^2.333 + 3*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 413/648, c: 64/81, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9}

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
511	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$	0.6954	0.8497	0.8184	[M:[0.9793, 0.9586, 1.0, 1.0414], q:[0.5518, 0.4689], qb:[0.4896, 0.5311], phi:[0.4896]]	t^2.876 + 2*t^2.938 + t^3. + t^3.062 + t^3.124 + t^3.248 + t^4.283 + t^4.345 + t^4.407 + t^4.469 + 2*t^4.531 + t^4.593 + t^4.655 + t^4.717 + t^4.78 + 3*t^5.876 + t^5.938 - t^4.469/y - t^4.469*y	detail