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
56721	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{8}$	0.6961	0.8694	0.8006	[X:[1.3228], M:[0.8059, 0.6772, 1.0, 1.1287, 1.0, 0.8059, 0.8713, 0.8713], q:[0.6614, 0.5327], qb:[0.6614, 0.3386], phi:[0.4515]]	[X:[[0, 6]], M:[[1, -19], [0, -6], [-1, 3], [0, -10], [1, -3], [-1, -13], [0, 10], [0, 10]], q:[[-1, 6], [0, 13]], qb:[[1, 0], [0, -3]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{3}^{2}$, ${ }M_{5}^{2}$	-3	2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. + 2*t^6.582 + t^6.677 + 3*t^6.772 + 4*t^6.968 + 2*t^7.063 + 2*t^7.165 + 4*t^7.253 + 2*t^7.354 + 2*t^7.449 + 3*t^7.544 + 4*t^7.551 + 2*t^7.646 + 6*t^7.74 + 6*t^7.835 + 3*t^7.842 + 9*t^7.937 + 6*t^8.032 + 4*t^8.127 + 6*t^8.323 - 4*t^8.418 + t^8.519 - 10*t^8.614 - 3*t^8.709 - t^8.804 + 2*t^8.905 - t^4.354/y - (2*t^6.772)/y - t^6.968/y - t^7.063/y + t^7.646/y + t^7.74/y + t^7.835/y + (2*t^7.937)/y + (4*t^8.032)/y + (2*t^8.127)/y + t^8.228/y + (2*t^8.323)/y + (4*t^8.418)/y + (4*t^8.614)/y + (2*t^8.709)/y - t^4.354*y - 2*t^6.772*y - t^6.968*y - t^7.063*y + t^7.646*y + t^7.74*y + t^7.835*y + 2*t^7.937*y + 4*t^8.032*y + 2*t^8.127*y + t^8.228*y + 2*t^8.323*y + 4*t^8.418*y + 4*t^8.614*y + 2*t^8.709*y	(g1*t^2.418)/g2^19 + t^2.418/(g1*g2^13) + 2*g2^10*t^2.614 + t^2.709/g2^8 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + 2*g2^6*t^3.968 + (g1*t^4.354)/g2^7 + t^4.354/(g1*g2) + g2^22*t^4.551 + (g1^2*t^4.835)/g2^38 + t^4.835/g2^32 + t^4.835/(g1^2*g2^26) + g1*g2^9*t^4.937 + (g2^15*t^4.937)/g1 + (g1*t^5.032)/g2^9 + t^5.032/(g1*g2^3) + (g1*t^5.127)/g2^27 + t^5.127/(g1*g2^21) + 3*g2^20*t^5.228 + (g1^2*t^5.323)/g2^4 + 3*g2^2*t^5.323 + (g2^8*t^5.323)/g1^2 + (g1^2*t^5.418)/g2^22 + (2*t^5.418)/g2^16 + t^5.418/(g1^2*g2^10) + g1*g2^7*t^5.614 + (g2^13*t^5.614)/g1 + (g1*t^5.709)/g2^11 + t^5.709/(g1*g2^5) - 3*t^6. + 2*g2^16*t^6.582 + t^6.677/g2^2 + (g1^2*t^6.772)/g2^26 + t^6.772/g2^20 + t^6.772/(g1^2*g2^14) + 2*g1*g2^3*t^6.968 + (2*g2^9*t^6.968)/g1 + (g1*t^7.063)/g2^15 + t^7.063/(g1*g2^9) + 2*g2^32*t^7.165 + (g1^3*t^7.253)/g2^57 + (g1*t^7.253)/g2^51 + t^7.253/(g1*g2^45) + t^7.253/(g1^3*g2^39) + (g1^2*t^7.354)/g2^10 + (g2^2*t^7.354)/g1^2 + (g1^2*t^7.449)/g2^28 + t^7.449/(g1^2*g2^16) + (g1^2*t^7.544)/g2^46 + t^7.544/g2^40 + t^7.544/(g1^2*g2^34) + 2*g1*g2^19*t^7.551 + (2*g2^25*t^7.551)/g1 + g1*g2*t^7.646 + (g2^7*t^7.646)/g1 + (g1^3*t^7.74)/g2^23 + (2*g1*t^7.74)/g2^17 + (2*t^7.74)/(g1*g2^11) + t^7.74/(g1^3*g2^5) + (g1^3*t^7.835)/g2^41 + (2*g1*t^7.835)/g2^35 + (2*t^7.835)/(g1*g2^29) + t^7.835/(g1^3*g2^23) + 3*g2^30*t^7.842 + 2*g1^2*g2^6*t^7.937 + 5*g2^12*t^7.937 + (2*g2^18*t^7.937)/g1^2 + (2*t^8.032)/g1^2 + (2*g1^2*t^8.032)/g2^12 + (2*t^8.032)/g2^6 + (g1^2*t^8.127)/g2^30 + (2*t^8.127)/g2^24 + t^8.127/(g1^2*g2^18) + (g1^3*t^8.323)/g2^7 + (2*g1*t^8.323)/g2 + (2*g2^5*t^8.323)/g1 + (g2^11*t^8.323)/g1^3 - (2*g1*t^8.418)/g2^19 - (2*t^8.418)/(g1*g2^13) + g2^28*t^8.519 - g1^2*g2^4*t^8.614 - 8*g2^10*t^8.614 - (g2^16*t^8.614)/g1^2 - (3*t^8.709)/g2^8 - t^8.804/g2^26 + g1*g2^15*t^8.905 + (g2^21*t^8.905)/g1 - t^4.354/(g2^4*y) - (g1*t^6.772)/(g2^23*y) - t^6.772/(g1*g2^17*y) - (g2^6*t^6.968)/y - t^7.063/(g2^12*y) + (g2^4*t^7.646)/y + t^7.74/(g2^14*y) + t^7.835/(g2^32*y) + (g1*g2^9*t^7.937)/y + (g2^15*t^7.937)/(g1*y) + (2*g1*t^8.032)/(g2^9*y) + (2*t^8.032)/(g1*g2^3*y) + (g1*t^8.127)/(g2^27*y) + t^8.127/(g1*g2^21*y) + (g2^20*t^8.228)/y + (2*g2^2*t^8.323)/y + (g1^2*t^8.418)/(g2^22*y) + (2*t^8.418)/(g2^16*y) + t^8.418/(g1^2*g2^10*y) + (2*g1*g2^7*t^8.614)/y + (2*g2^13*t^8.614)/(g1*y) + (g1*t^8.709)/(g2^11*y) + t^8.709/(g1*g2^5*y) - (t^4.354*y)/g2^4 - (g1*t^6.772*y)/g2^23 - (t^6.772*y)/(g1*g2^17) - g2^6*t^6.968*y - (t^7.063*y)/g2^12 + g2^4*t^7.646*y + (t^7.74*y)/g2^14 + (t^7.835*y)/g2^32 + g1*g2^9*t^7.937*y + (g2^15*t^7.937*y)/g1 + (2*g1*t^8.032*y)/g2^9 + (2*t^8.032*y)/(g1*g2^3) + (g1*t^8.127*y)/g2^27 + (t^8.127*y)/(g1*g2^21) + g2^20*t^8.228*y + 2*g2^2*t^8.323*y + (g1^2*t^8.418*y)/g2^22 + (2*t^8.418*y)/g2^16 + (t^8.418*y)/(g1^2*g2^10) + 2*g1*g2^7*t^8.614*y + (2*g2^13*t^8.614*y)/g1 + (g1*t^8.709*y)/g2^11 + (t^8.709*y)/(g1*g2^5)

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
58792	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{8}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}X_{2}$	0.5869	0.7243	0.8103	[X:[1.4058, 1.6039], M:[0.7729, 0.5942, 0.8116, 0.9903, 1.1884, 0.3961, 1.0097, 1.0097], q:[0.5145, 0.7126], qb:[0.8913, 0.2971], phi:[0.3961]]	t^2.319 + t^2.377 + t^2.435 + 2*t^3.029 + t^3.565 + t^3.623 + t^4.217 + t^4.276 + t^4.637 + t^4.695 + 2*t^4.754 + 2*t^4.812 + t^4.87 + t^5.348 + t^5.406 + 2*t^5.464 + t^5.884 + t^5.942 - t^6. - t^4.188/y - t^4.188*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
55046	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}X_{1}$	0.6852	0.8517	0.8045	[X:[1.3319], M:[0.7815, 0.6681, 1.0, 1.1135, 1.0, 0.7815, 0.8865], q:[0.666, 0.5525], qb:[0.666, 0.334], phi:[0.4454]]	2*t^2.345 + t^2.66 + t^2.672 + 2*t^3. + t^3.34 + 2*t^3.996 + 2*t^4.336 + t^4.651 + 3*t^4.689 + 2*t^4.992 + 2*t^5.017 + t^5.319 + 4*t^5.332 + 4*t^5.345 + 2*t^5.672 + 2*t^5.685 - 2*t^6. - t^4.336/y - t^4.336*y	detail