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
3522	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6634	0.8811	0.753	[M:[0.9884, 1.0347, 0.9884, 0.7587, 0.7355, 0.7818, 0.7587], q:[0.7471, 0.2645], qb:[0.4711, 0.4942], phi:[0.5058]]	[M:[[4], [-12], [4], [-3], [5], [-11], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$	${}$	-4	2*t^2.207 + 3*t^2.276 + t^2.345 + 2*t^2.965 + 2*t^3.104 + t^4.344 + 4*t^4.413 + 7*t^4.483 + 8*t^4.552 + 3*t^4.621 + t^4.691 + 4*t^5.172 + 6*t^5.241 + 5*t^5.311 + 5*t^5.38 + 2*t^5.449 + t^5.931 - 4*t^6. + t^6.069 + 3*t^6.208 + 2*t^6.551 + 7*t^6.62 + 11*t^6.689 + 15*t^6.759 + 14*t^6.828 + 7*t^6.897 + 3*t^6.967 + t^7.036 + t^7.309 + 6*t^7.379 + 10*t^7.448 + 17*t^7.517 + 13*t^7.587 + 14*t^7.656 + 5*t^7.725 + 2*t^7.795 - t^8.068 - 2*t^8.137 - 8*t^8.207 - 11*t^8.276 - 3*t^8.345 + 5*t^8.415 + 7*t^8.484 + 3*t^8.554 + t^8.688 + 4*t^8.757 + 11*t^8.827 + 16*t^8.896 + 12*t^8.965 - t^4.517/y - t^6.724/y - (2*t^6.793)/y - t^6.863/y + (2*t^7.413)/y + (5*t^7.483)/y + (6*t^7.552)/y + (2*t^7.621)/y + (5*t^8.172)/y + (8*t^8.241)/y + (7*t^8.311)/y + (6*t^8.38)/y + (2*t^8.449)/y - t^4.517*y - t^6.724*y - 2*t^6.793*y - t^6.863*y + 2*t^7.413*y + 5*t^7.483*y + 6*t^7.552*y + 2*t^7.621*y + 5*t^8.172*y + 8*t^8.241*y + 7*t^8.311*y + 6*t^8.38*y + 2*t^8.449*y	2*g1^5*t^2.207 + (3*t^2.276)/g1^3 + t^2.345/g1^11 + 2*g1^4*t^2.965 + (2*t^3.104)/g1^12 + g1^18*t^4.344 + 4*g1^10*t^4.413 + 7*g1^2*t^4.483 + (8*t^4.552)/g1^6 + (3*t^4.621)/g1^14 + t^4.691/g1^22 + 4*g1^9*t^5.172 + 6*g1*t^5.241 + (5*t^5.311)/g1^7 + (5*t^5.38)/g1^15 + (2*t^5.449)/g1^23 + g1^8*t^5.931 - 4*t^6. + t^6.069/g1^8 + (3*t^6.208)/g1^24 + 2*g1^23*t^6.551 + 7*g1^15*t^6.62 + 11*g1^7*t^6.689 + (15*t^6.759)/g1 + (14*t^6.828)/g1^9 + (7*t^6.897)/g1^17 + (3*t^6.967)/g1^25 + t^7.036/g1^33 + g1^22*t^7.309 + 6*g1^14*t^7.379 + 10*g1^6*t^7.448 + (17*t^7.517)/g1^2 + (13*t^7.587)/g1^10 + (14*t^7.656)/g1^18 + (5*t^7.725)/g1^26 + (2*t^7.795)/g1^34 - g1^21*t^8.068 - 2*g1^13*t^8.137 - 8*g1^5*t^8.207 - (11*t^8.276)/g1^3 - (3*t^8.345)/g1^11 + (5*t^8.415)/g1^19 + (7*t^8.484)/g1^27 + (3*t^8.554)/g1^35 + g1^36*t^8.688 + 4*g1^28*t^8.757 + 11*g1^20*t^8.827 + 16*g1^12*t^8.896 + 12*g1^4*t^8.965 - t^4.517/(g1^2*y) - (g1^3*t^6.724)/y - (2*t^6.793)/(g1^5*y) - t^6.863/(g1^13*y) + (2*g1^10*t^7.413)/y + (5*g1^2*t^7.483)/y + (6*t^7.552)/(g1^6*y) + (2*t^7.621)/(g1^14*y) + (5*g1^9*t^8.172)/y + (8*g1*t^8.241)/y + (7*t^8.311)/(g1^7*y) + (6*t^8.38)/(g1^15*y) + (2*t^8.449)/(g1^23*y) - (t^4.517*y)/g1^2 - g1^3*t^6.724*y - (2*t^6.793*y)/g1^5 - (t^6.863*y)/g1^13 + 2*g1^10*t^7.413*y + 5*g1^2*t^7.483*y + (6*t^7.552*y)/g1^6 + (2*t^7.621*y)/g1^14 + 5*g1^9*t^8.172*y + 8*g1*t^8.241*y + (7*t^8.311*y)/g1^7 + (6*t^8.38*y)/g1^15 + (2*t^8.449*y)/g1^23

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
5186	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6536	0.8683	0.7528	[M:[0.9565, 1.1304, 0.9565, 0.7826, 0.6957, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	2*t^2.087 + 3*t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + t^3.913 + 4*t^4.174 + 7*t^4.435 + 8*t^4.696 + 7*t^4.957 + 7*t^5.217 + 5*t^5.478 + 6*t^5.739 - t^4.565/y - t^4.565*y	detail	{a: 127239/194672, c: 84515/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 18/23, M5: 16/23, M6: 20/23, M7: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
2935	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6448	0.8473	0.761	[M:[0.9867, 1.0399, 0.9867, 0.76, 0.7334, 0.7866], q:[0.7467, 0.2666], qb:[0.4668, 0.4934], phi:[0.5066]]	2*t^2.2 + 2*t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + t^3.72 + t^4.321 + 4*t^4.4 + 5*t^4.48 + 5*t^4.56 + 2*t^4.64 + t^4.719 + 4*t^5.16 + 4*t^5.24 + 5*t^5.32 + 3*t^5.4 + 2*t^5.479 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y	detail