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
4763	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$	0.673	0.8358	0.8052	[M:[0.9924, 0.7696, 0.9265, 0.8355, 1.1645, 0.724, 0.8355, 1.2304, 1.119], q:[0.6228, 0.3848], qb:[0.4507, 0.7798], phi:[0.4405]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, -1], [2, 2], [0, 8]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{9}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{1}^{2}$	${}$	-3	t^2.172 + 2*t^2.506 + t^2.779 + t^2.977 + t^3.357 + t^3.63 + t^3.691 + t^4.026 + t^4.208 + 2*t^4.344 + t^4.542 + 2*t^4.679 + t^4.952 + 3*t^5.013 + t^5.058 + t^5.149 + t^5.286 + t^5.484 + t^5.529 + t^5.559 + t^5.757 + 3*t^5.863 + t^5.954 - 3*t^6. + 2*t^6.137 + 2*t^6.198 + t^6.38 + t^6.41 + t^6.516 + 2*t^6.532 + t^6.669 + 2*t^6.714 + 2*t^6.851 + t^7.003 + 2*t^7.048 + t^7.124 + 2*t^7.185 + t^7.231 + t^7.26 + t^7.321 + t^7.383 + t^7.458 + 3*t^7.519 + 2*t^7.565 + t^7.656 + t^7.701 + t^7.717 + t^7.731 + t^7.792 + t^7.899 + t^7.929 + t^7.974 + t^7.99 + 2*t^8.036 + t^8.051 + t^8.065 + t^8.127 - 4*t^8.172 + t^8.233 + t^8.263 + t^8.338 + 4*t^8.37 + t^8.415 + t^8.461 - 6*t^8.506 + t^8.536 + t^8.552 + t^8.568 + 2*t^8.643 + 2*t^8.689 + 3*t^8.704 + t^8.734 + t^8.75 - 3*t^8.779 + t^8.886 + t^8.916 + t^8.932 - 3*t^8.977 - t^4.321/y - t^6.494/y - t^6.828/y - t^7.101/y - t^7.299/y + t^7.344/y + t^7.542/y + (2*t^7.679)/y + t^7.815/y + t^7.952/y + t^8.013/y + (2*t^8.149)/y + (2*t^8.286)/y + (2*t^8.484)/y + t^8.529/y - t^8.666/y + t^8.757/y + t^8.802/y + (3*t^8.863)/y - t^4.321*y - t^6.494*y - t^6.828*y - t^7.101*y - t^7.299*y + t^7.344*y + t^7.542*y + 2*t^7.679*y + t^7.815*y + t^7.952*y + t^8.013*y + 2*t^8.149*y + 2*t^8.286*y + 2*t^8.484*y + t^8.529*y - t^8.666*y + t^8.757*y + t^8.802*y + 3*t^8.863*y	(g2^5*t^2.172)/g1 + (2*g1*t^2.506)/g2 + t^2.779/(g1*g2^15) + (g1^2*t^2.977)/g2^14 + g2^8*t^3.357 + t^3.63/(g1^2*g2^6) + g1^2*g2^2*t^3.691 + (g1^4*t^4.026)/g2^4 + (g2^17*t^4.208)/g1 + (2*g2^10*t^4.344)/g1^2 + g1*g2^11*t^4.542 + 2*g2^4*t^4.679 + t^4.952/(g1^2*g2^10) + (3*g1^2*t^5.013)/g2^2 + (g2^26*t^5.058)/g1^2 + (g1*t^5.149)/g2^9 + t^5.286/g2^16 + (g1^3*t^5.484)/g2^15 + (g2^13*t^5.529)/g1 + t^5.559/(g1^2*g2^30) + (g1*t^5.757)/g2^29 + 3*g1*g2^7*t^5.863 + (g1^4*t^5.954)/g2^28 - 3*t^6. + (2*t^6.137)/(g1*g2^7) + 2*g1^3*g2*t^6.198 + (g2^22*t^6.38)/g1^2 + t^6.41/(g1^3*g2^21) + (g2^15*t^6.516)/g1^3 + (2*g1^5*t^6.532)/g2^5 + (g1^4*t^6.669)/g2^12 + 2*g2^16*t^6.714 + (2*g2^9*t^6.851)/g1 + (g1^6*t^7.003)/g2^18 + 2*g1^2*g2^10*t^7.048 + t^7.124/(g1^3*g2^5) + 2*g1*g2^3*t^7.185 + (g2^31*t^7.231)/g1^3 + t^7.26/(g1^4*g2^12) + t^7.321/g2^4 + g1^4*g2^4*t^7.383 + t^7.458/(g1*g2^11) + (3*g1^3*t^7.519)/g2^3 + (2*g2^25*t^7.565)/g1 + (g1^2*t^7.656)/g2^10 + (g2^18*t^7.701)/g1^2 + (g1^6*t^7.717)/g2^2 + t^7.731/(g1^3*g2^25) + (g1*t^7.792)/g2^17 + g1*g2^19*t^7.899 + t^7.929/g2^24 + (g2^4*t^7.974)/g1^4 + (g1^4*t^7.99)/g2^16 + 2*g2^12*t^8.036 + (g1^8*t^8.051)/g2^8 + t^8.065/(g1*g2^31) + (g1^3*t^8.127)/g2^23 - (4*g2^5*t^8.172)/g1 + g1^3*g2^13*t^8.233 + (g1^2*t^8.263)/g2^30 + t^8.338/(g1^3*g2^45) + 4*g1^2*g2^6*t^8.37 + (g2^34*t^8.415)/g1^2 + (g1^5*t^8.461)/g2^29 - (6*g1*t^8.506)/g2 + t^8.536/g2^44 + (g2^27*t^8.552)/g1^3 + g1^5*g2^7*t^8.568 + (2*t^8.643)/g2^8 + (2*g2^20*t^8.689)/g1^4 + 3*g1^4*t^8.704 + (g1^3*t^8.734)/g2^43 + g2^28*t^8.75 - (3*t^8.779)/(g1*g2^15) + (g2^21*t^8.886)/g1 + t^8.916/(g1^2*g2^22) + (g1^6*t^8.932)/g2^42 - (3*g1^2*t^8.977)/g2^14 - t^4.321/(g2^4*y) - (g2*t^6.494)/(g1*y) - (g1*t^6.828)/(g2^5*y) - t^7.101/(g1*g2^19*y) - (g1^2*t^7.299)/(g2^18*y) + (g2^10*t^7.344)/(g1^2*y) + (g1*g2^11*t^7.542)/y + (2*g2^4*t^7.679)/y + t^7.815/(g1*g2^3*y) + t^7.952/(g1^2*g2^10*y) + (g1^2*t^8.013)/(g2^2*y) + (2*g1*t^8.149)/(g2^9*y) + (2*t^8.286)/(g2^16*y) + (2*g1^3*t^8.484)/(g2^15*y) + (g2^13*t^8.529)/(g1*y) - (g2^6*t^8.666)/(g1^2*y) + (g1*t^8.757)/(g2^29*y) + t^8.802/(g1^3*g2*y) + (3*g1*g2^7*t^8.863)/y - (t^4.321*y)/g2^4 - (g2*t^6.494*y)/g1 - (g1*t^6.828*y)/g2^5 - (t^7.101*y)/(g1*g2^19) - (g1^2*t^7.299*y)/g2^18 + (g2^10*t^7.344*y)/g1^2 + g1*g2^11*t^7.542*y + 2*g2^4*t^7.679*y + (t^7.815*y)/(g1*g2^3) + (t^7.952*y)/(g1^2*g2^10) + (g1^2*t^8.013*y)/g2^2 + (2*g1*t^8.149*y)/g2^9 + (2*t^8.286*y)/g2^16 + (2*g1^3*t^8.484*y)/g2^15 + (g2^13*t^8.529*y)/g1 - (g2^6*t^8.666*y)/g1^2 + (g1*t^8.757*y)/g2^29 + (t^8.802*y)/(g1^3*g2) + 3*g1*g2^7*t^8.863*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
6360	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$	0.6387	0.7793	0.8195	[X:[1.3333], M:[1.125, 0.7083, 0.9583, 0.875, 1.125, 0.6667, 0.875, 1.2917, 1.0833], q:[0.5208, 0.3542], qb:[0.5208, 0.7708], phi:[0.4583]]	2*t^2.625 + t^2.875 + t^3.25 + t^3.375 + t^3.5 + 2*t^3.875 + 2*t^4. + 3*t^4.5 + 3*t^5.25 + t^5.75 + 2*t^5.875 - 3*t^6. - t^4.375/y - t^4.375*y	detail	{a: 327/512, c: 399/512, X1: 4/3, M1: 9/8, M2: 17/24, M3: 23/24, M4: 7/8, M5: 9/8, M6: 2/3, M7: 7/8, M8: 31/24, M9: 13/12, q1: 25/48, q2: 17/48, qb1: 25/48, qb2: 37/48, phi1: 11/24}

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
2633	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$	0.6843	0.8549	0.8004	[M:[0.972, 0.7603, 0.8959, 0.8364, 1.1636, 0.7305, 0.8364, 1.2397], q:[0.6479, 0.3801], qb:[0.4563, 0.7835], phi:[0.4331]]	t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. - t^4.299/y - t^4.299*y	detail