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
47060	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.7231	0.895	0.8079	[M:[0.8566, 1.0717, 1.0, 0.7848, 0.9379, 0.9187], q:[0.4952, 0.6482], qb:[0.4331, 0.5669], phi:[0.4641]]	[M:[[-4, -4], [2, 2], [0, 0], [-6, -6], [2, -10], [-6, 6]], q:[[-2, 4], [6, 0]], qb:[[0, -6], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$	${}$	-2	t^2.354 + t^2.57 + t^2.756 + t^2.785 + t^2.814 + t^3. + t^3.215 + t^3.991 + t^4.177 + t^4.364 + t^4.392 + t^4.579 + t^4.636 + t^4.709 + t^4.794 + t^4.823 + t^4.924 + t^5.038 + t^5.111 + 2*t^5.139 + t^5.168 + t^5.282 + t^5.326 + t^5.354 + t^5.383 + t^5.512 + 4*t^5.57 + t^5.627 + t^5.785 + t^5.971 - 2*t^6. + t^6.029 - t^6.186 - t^6.244 + t^6.345 - t^6.402 - t^6.459 + t^6.532 + t^6.561 - t^6.646 + t^6.718 + 2*t^6.747 + t^6.776 + t^6.804 + 2*t^6.933 + 2*t^6.962 + 2*t^6.991 + t^7.063 + t^7.12 + 3*t^7.148 + 2*t^7.177 + t^7.206 + t^7.279 + t^7.335 + 2*t^7.364 + 2*t^7.392 + t^7.45 + t^7.465 + 2*t^7.494 + t^7.523 + t^7.55 + t^7.579 + t^7.608 + t^7.636 + t^7.68 + 2*t^7.709 + t^7.738 + t^7.794 - t^7.823 + t^7.852 + t^7.867 + t^7.895 + 4*t^7.924 + t^7.953 + 2*t^7.982 - t^8.009 + t^8.082 + t^8.096 + 3*t^8.139 + t^8.197 - t^8.224 + t^8.268 + 2*t^8.326 + 3*t^8.383 + t^8.441 - t^8.468 - 2*t^8.57 - t^8.598 + t^8.627 + t^8.7 + 2*t^8.727 - 4*t^8.756 - 4*t^8.814 + t^8.842 + t^8.886 + t^8.915 - 2*t^8.971 - t^4.392/y - t^6.747/y - t^6.962/y - t^7.148/y - t^7.206/y + t^7.579/y + t^7.636/y + t^7.823/y + t^7.924/y + t^8.038/y + t^8.111/y + t^8.139/y + t^8.168/y + t^8.326/y + (2*t^8.354)/y + t^8.383/y + t^8.541/y + (3*t^8.57)/y + t^8.598/y + t^8.756/y + (2*t^8.785)/y + t^8.814/y + t^8.971/y - t^4.392*y - t^6.747*y - t^6.962*y - t^7.148*y - t^7.206*y + t^7.579*y + t^7.636*y + t^7.823*y + t^7.924*y + t^8.038*y + t^8.111*y + t^8.139*y + t^8.168*y + t^8.326*y + 2*t^8.354*y + t^8.383*y + t^8.541*y + 3*t^8.57*y + t^8.598*y + t^8.756*y + 2*t^8.785*y + t^8.814*y + t^8.971*y	t^2.354/(g1^6*g2^6) + t^2.57/(g1^4*g2^4) + (g2^6*t^2.756)/g1^6 + t^2.785/(g1^2*g2^2) + (g1^2*t^2.814)/g2^10 + t^3. + g1^2*g2^2*t^3.215 + t^3.991/(g1*g2^13) + t^4.177/(g1^3*g2^3) + (g2^7*t^4.364)/g1^5 + t^4.392/(g1*g2) + (g2^9*t^4.579)/g1^3 + (g1^5*t^4.636)/g2^7 + t^4.709/(g1^12*g2^12) + (g2^11*t^4.794)/g1 + g1^3*g2^3*t^4.823 + t^4.924/(g1^10*g2^10) + g1^5*g2^5*t^5.038 + t^5.111/g1^12 + (2*t^5.139)/(g1^8*g2^8) + t^5.168/(g1^4*g2^16) + (g1^11*t^5.282)/g2 + (g2^2*t^5.326)/g1^10 + t^5.354/(g1^6*g2^6) + t^5.383/(g1^2*g2^14) + (g2^12*t^5.512)/g1^12 + (4*t^5.57)/(g1^4*g2^4) + (g1^4*t^5.627)/g2^20 + t^5.785/(g1^2*g2^2) + (g2^8*t^5.971)/g1^4 - 2*t^6. + (g1^4*t^6.029)/g2^8 - (g2^10*t^6.186)/g1^2 - (g1^6*t^6.244)/g2^6 + t^6.345/(g1^7*g2^19) - g2^12*t^6.402 - (g1^8*t^6.459)/g2^4 + t^6.532/(g1^9*g2^9) + t^6.561/(g1^5*g2^17) - g1^6*g2^6*t^6.646 + (g2*t^6.718)/g1^11 + (2*t^6.747)/(g1^7*g2^7) + t^6.776/(g1^3*g2^15) + (g1*t^6.804)/g2^23 + (2*g2^3*t^6.933)/g1^9 + (2*t^6.962)/(g1^5*g2^5) + (2*t^6.991)/(g1*g2^13) + t^7.063/(g1^18*g2^18) + (g2^13*t^7.12)/g1^11 + (3*g2^5*t^7.148)/g1^7 + (2*t^7.177)/(g1^3*g2^3) + (g1*t^7.206)/g2^11 + t^7.279/(g1^16*g2^16) + (g2^15*t^7.335)/g1^9 + (2*g2^7*t^7.364)/g1^5 + (2*t^7.392)/(g1*g2) + (g1^7*t^7.45)/g2^17 + t^7.465/(g1^18*g2^6) + (2*t^7.494)/(g1^14*g2^14) + t^7.523/(g1^10*g2^22) + (g2^17*t^7.55)/g1^7 + (g2^9*t^7.579)/g1^3 + g1*g2*t^7.608 + (g1^5*t^7.636)/g2^7 + t^7.68/(g1^16*g2^4) + (2*t^7.709)/(g1^12*g2^12) + t^7.738/(g1^8*g2^20) + (g2^11*t^7.794)/g1 - g1^3*g2^3*t^7.823 + (g1^7*t^7.852)/g2^5 + (g2^6*t^7.867)/g1^18 + t^7.895/(g1^14*g2^2) + (4*t^7.924)/(g1^10*g2^10) + t^7.953/(g1^6*g2^18) + (2*t^7.982)/(g1^2*g2^26) - g1*g2^13*t^8.009 + (g2^8*t^8.082)/g1^16 + (g1^13*t^8.096)/g2^11 + (3*t^8.139)/(g1^8*g2^8) + t^8.197/g2^24 - g1^3*g2^15*t^8.224 + (g2^18*t^8.268)/g1^18 + (2*g2^2*t^8.326)/g1^10 + (3*t^8.383)/(g1^2*g2^14) + (g1^6*t^8.441)/g2^30 - g1^9*g2^9*t^8.468 - (2*t^8.57)/(g1^4*g2^4) - t^8.598/g2^12 + (g1^4*t^8.627)/g2^20 + t^8.7/(g1^13*g2^25) + (2*g2^14*t^8.727)/g1^10 - (4*g2^6*t^8.756)/g1^6 - (4*g1^2*t^8.814)/g2^10 + (g1^6*t^8.842)/g2^18 + t^8.886/(g1^15*g2^15) + t^8.915/(g1^11*g2^23) - (2*g2^8*t^8.971)/g1^4 - t^4.392/(g1*g2*y) - t^6.747/(g1^7*g2^7*y) - t^6.962/(g1^5*g2^5*y) - (g2^5*t^7.148)/(g1^7*y) - (g1*t^7.206)/(g2^11*y) + (g2^9*t^7.579)/(g1^3*y) + (g1^5*t^7.636)/(g2^7*y) + (g1^3*g2^3*t^7.823)/y + t^7.924/(g1^10*g2^10*y) + (g1^5*g2^5*t^8.038)/y + t^8.111/(g1^12*y) + t^8.139/(g1^8*g2^8*y) + t^8.168/(g1^4*g2^16*y) + (g2^2*t^8.326)/(g1^10*y) + (2*t^8.354)/(g1^6*g2^6*y) + t^8.383/(g1^2*g2^14*y) + (g2^4*t^8.541)/(g1^8*y) + (3*t^8.57)/(g1^4*g2^4*y) + t^8.598/(g2^12*y) + (g2^6*t^8.756)/(g1^6*y) + (2*t^8.785)/(g1^2*g2^2*y) + (g1^2*t^8.814)/(g2^10*y) + (g2^8*t^8.971)/(g1^4*y) - (t^4.392*y)/(g1*g2) - (t^6.747*y)/(g1^7*g2^7) - (t^6.962*y)/(g1^5*g2^5) - (g2^5*t^7.148*y)/g1^7 - (g1*t^7.206*y)/g2^11 + (g2^9*t^7.579*y)/g1^3 + (g1^5*t^7.636*y)/g2^7 + g1^3*g2^3*t^7.823*y + (t^7.924*y)/(g1^10*g2^10) + g1^5*g2^5*t^8.038*y + (t^8.111*y)/g1^12 + (t^8.139*y)/(g1^8*g2^8) + (t^8.168*y)/(g1^4*g2^16) + (g2^2*t^8.326*y)/g1^10 + (2*t^8.354*y)/(g1^6*g2^6) + (t^8.383*y)/(g1^2*g2^14) + (g2^4*t^8.541*y)/g1^8 + (3*t^8.57*y)/(g1^4*g2^4) + (t^8.598*y)/g2^12 + (g2^6*t^8.756*y)/g1^6 + (2*t^8.785*y)/(g1^2*g2^2) + (g1^2*t^8.814*y)/g2^10 + (g2^8*t^8.971*y)/g1^4

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
55090	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$	0.7054	0.8688	0.8119	[M:[0.9348, 1.0326, 1.0, 0.9023, 1.0652, 0.8697], q:[0.4511, 0.614], qb:[0.5163, 0.4837], phi:[0.4837]]	t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^4.451/y - t^4.451*y	detail
55106	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$	0.73	0.9083	0.8037	[M:[0.8431, 1.0785, 1.0, 0.7646, 0.933, 0.9101, 0.9215], q:[0.4943, 0.6626], qb:[0.4272, 0.5728], phi:[0.4608]]	t^2.294 + t^2.529 + t^2.73 + 2*t^2.765 + t^2.799 + t^3. + t^3.946 + t^4.147 + t^4.348 + t^4.382 + t^4.583 + t^4.588 + t^4.652 + t^4.819 + t^4.823 + t^4.853 + t^5.024 + 3*t^5.058 + t^5.088 + t^5.093 + t^5.26 + 2*t^5.294 + t^5.328 + t^5.358 + t^5.461 + t^5.495 + 5*t^5.529 + t^5.563 + t^5.598 + t^5.765 - 3*t^6. - t^4.382/y - t^4.382*y	detail
55227	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$	0.701	0.8622	0.8131	[M:[0.9551, 1.0224, 1.0, 0.9327, 1.0673, 0.8879], q:[0.4551, 0.5897], qb:[0.5224, 0.4776], phi:[0.4888]]	t^2.664 + t^2.798 + t^2.865 + t^2.933 + t^3. + t^3.067 + t^3.202 + t^4.197 + t^4.265 + t^4.332 + t^4.399 + t^4.466 + 2*t^4.601 + t^4.668 + t^4.803 + t^5.005 + t^5.327 + t^5.462 + t^5.529 + t^5.596 + t^5.664 + 3*t^5.731 + 3*t^5.865 + t^5.933 - t^6. - t^4.466/y - t^4.466*y	detail
55307	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7439	0.9365	0.7943	[M:[0.8569, 1.0715, 1.0, 0.7854, 0.9386, 0.9183, 0.6687], q:[0.4949, 0.6481], qb:[0.4336, 0.5664], phi:[0.4642]]	t^2.006 + t^2.356 + t^2.571 + t^2.755 + t^2.785 + t^2.816 + t^3. + t^3.215 + t^4.012 + t^4.178 + 2*t^4.362 + t^4.393 + 2*t^4.577 + t^4.638 + t^4.712 + t^4.761 + 2*t^4.791 + 2*t^4.822 + t^4.927 + t^5.006 + t^5.036 + t^5.111 + 2*t^5.142 + t^5.172 + t^5.221 + t^5.282 + t^5.326 + t^5.356 + t^5.387 + t^5.51 + 4*t^5.571 + t^5.632 + t^5.785 + t^5.969 - 2*t^6. - t^4.393/y - t^4.393*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
46434	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$	0.7674	0.9598	0.7995	[M:[0.6694, 0.8347, 1.0, 0.8347, 0.8347, 0.8347], q:[0.6653, 0.6653], qb:[0.5, 0.5], phi:[0.4174]]	t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. - t^4.252/y - t^4.252*y	detail