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
4035	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.7404	0.9536	0.7764	[M:[0.9728, 1.1232, 0.9728, 0.6848, 0.8768, 0.7808, 0.6848, 0.6848], q:[0.7808, 0.4384], qb:[0.5888, 0.4384], phi:[0.4384]]	[M:[[9], [-4], [9], [-6], [4], [-1], [-6], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]]	1	{a: 1173671/1585176, c: 755813/792588, M1: 250/257, M2: 866/771, M3: 250/257, M4: 176/257, M5: 676/771, M6: 602/771, M7: 176/257, M8: 176/257, q1: 602/771, q2: 338/771, qb1: 454/771, qb2: 338/771, phi1: 338/771}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{8}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$	${}$	-4	3*t^2.054 + t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.658 + 7*t^4.109 + 5*t^4.397 + 7*t^4.685 + t^4.848 + 8*t^4.973 + 5*t^5.261 + 2*t^5.549 + 3*t^5.712 + 3*t^5.837 - 4*t^6. + 13*t^6.163 + 11*t^6.451 + t^6.576 + 17*t^6.739 - 2*t^6.864 + 3*t^6.903 + 21*t^7.027 + t^7.191 + 15*t^7.315 + t^7.479 + 9*t^7.603 + 5*t^7.767 + 14*t^7.891 - 14*t^8.054 + 5*t^8.179 + 21*t^8.218 - 8*t^8.342 + 3*t^8.467 + 20*t^8.506 - 7*t^8.63 + 4*t^8.755 + 30*t^8.794 - 14*t^8.918 + 7*t^8.957 - t^4.315/y - (3*t^6.37)/y - t^6.658/y - t^6.946/y + (3*t^7.109)/y - (2*t^7.233)/y + (5*t^7.397)/y + (7*t^7.685)/y + (9*t^7.973)/y + (6*t^8.261)/y - (6*t^8.424)/y + (4*t^8.549)/y + t^8.837/y - t^4.315*y - 3*t^6.37*y - t^6.658*y - t^6.946*y + 3*t^7.109*y - 2*t^7.233*y + 5*t^7.397*y + 7*t^7.685*y + 9*t^7.973*y + 6*t^8.261*y - 6*t^8.424*y + 4*t^8.549*y + t^8.837*y	(3*t^2.054)/g1^6 + t^2.342/g1 + 2*g1^4*t^2.63 + 2*g1^9*t^2.918 + g1*t^3.658 + (7*t^4.109)/g1^12 + (5*t^4.397)/g1^7 + (7*t^4.685)/g1^2 + t^4.848/g1^20 + 8*g1^3*t^4.973 + 5*g1^8*t^5.261 + 2*g1^13*t^5.549 + (3*t^5.712)/g1^5 + 3*g1^18*t^5.837 - 4*t^6. + (13*t^6.163)/g1^18 + (11*t^6.451)/g1^13 + g1^10*t^6.576 + (17*t^6.739)/g1^8 - 2*g1^15*t^6.864 + (3*t^6.903)/g1^26 + (21*t^7.027)/g1^3 + t^7.191/g1^21 + 15*g1^2*t^7.315 + t^7.479/g1^16 + 9*g1^7*t^7.603 + (5*t^7.767)/g1^11 + 14*g1^12*t^7.891 - (14*t^8.054)/g1^6 + 5*g1^17*t^8.179 + (21*t^8.218)/g1^24 - (8*t^8.342)/g1 + 3*g1^22*t^8.467 + (20*t^8.506)/g1^19 - 7*g1^4*t^8.63 + 4*g1^27*t^8.755 + (30*t^8.794)/g1^14 - 14*g1^9*t^8.918 + (7*t^8.957)/g1^32 - (g1^2*t^4.315)/y - (3*t^6.37)/(g1^4*y) - (g1*t^6.658)/y - (g1^6*t^6.946)/y + (3*t^7.109)/(g1^12*y) - (2*g1^11*t^7.233)/y + (5*t^7.397)/(g1^7*y) + (7*t^7.685)/(g1^2*y) + (9*g1^3*t^7.973)/y + (6*g1^8*t^8.261)/y - (6*t^8.424)/(g1^10*y) + (4*g1^13*t^8.549)/y + (g1^18*t^8.837)/y - g1^2*t^4.315*y - (3*t^6.37*y)/g1^4 - g1*t^6.658*y - g1^6*t^6.946*y + (3*t^7.109*y)/g1^12 - 2*g1^11*t^7.233*y + (5*t^7.397*y)/g1^7 + (7*t^7.685*y)/g1^2 + 9*g1^3*t^7.973*y + 6*g1^8*t^8.261*y - (6*t^8.424*y)/g1^10 + 4*g1^13*t^8.549*y + g1^18*t^8.837*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
5579	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$	0.696	0.896	0.7768	[M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]]	8*t^2.4 + t^3.6 + 37*t^4.8 - t^6. - t^4.2/y - t^4.2*y	detail	{a: 87/125, c: 112/125, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, M7: 4/5, M8: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5}
5582	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{9}q_{1}q_{2}$	0.758	0.985	0.7695	[M:[0.9746, 1.1224, 0.9746, 0.6836, 0.8776, 0.7806, 0.6836, 0.6836, 0.7806], q:[0.7806, 0.4388], qb:[0.5866, 0.4388], phi:[0.4388]]	3*t^2.051 + 2*t^2.342 + 2*t^2.633 + 2*t^2.924 + 7*t^4.102 + 8*t^4.393 + 9*t^4.684 + t^4.836 + 10*t^4.975 + 7*t^5.266 + 2*t^5.557 + 3*t^5.848 - 5*t^6. - t^4.316/y - t^4.316*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
1642	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.7197	0.9131	0.7882	[M:[0.9705, 1.1242, 0.9705, 0.6863, 0.8758, 0.7811, 0.6863], q:[0.7811, 0.4379], qb:[0.5916, 0.4379], phi:[0.4379]]	2*t^2.059 + t^2.343 + 2*t^2.627 + 2*t^2.912 + t^3.657 + t^3.941 + 4*t^4.118 + 4*t^4.402 + 5*t^4.686 + t^4.863 + 6*t^4.971 + 5*t^5.255 + 2*t^5.539 + 2*t^5.716 + 3*t^5.823 - 2*t^6. - t^4.314/y - t^4.314*y	detail